12583 + Mcqs in Physics Page 91 McqOptions

4501.	A body of mass 10 kg is moving with a constant velocity of 10 m/s. When a constant force acts for 4 seconds on it, it moves with a velocity 2 m/sec in the opposite direction. The acceleration produced in it is [MP PET 1997]
A.	\[3\,m/{{\sec }^{2}}\]
B.	\[-3m/{{\sec }^{2}}\]
C.	\[0.3\,m/{{\sec }^{2}}\]
D.	\[-0.3\,m/{{\sec }^{2}}\]
Answer» C. \[0.3\,m/{{\sec }^{2}}\]

Discussion

4502.	If body having initial velocity zero is moving with uniform acceleration \[8\,\,m/{{\sec }^{2}}\] the distance travelled by it in fifth second will be [MP PMT 1996; DPMT 2001]
A.	36 metres
B.	40 metres
C.	100 metres
D.	Zero
Answer» B. 40 metres

Discussion

4503.	The position of a particle moving in the xy-plane at any time \[t\] is given by \[x=(3{{t}^{2}}-6t)\] metres, \[y=({{t}^{2}}-2t)\] metres. Select the correct statement about the moving particle from the following [MP PMT 1995]
A.	(a) The acceleration of the particle is zero at \[t=0\] second
B.	The velocity of the particle is zero at \[t=0\] second
C.	The velocity of the particle is zero at \[t=1\] second
D.	The velocity and acceleration of the particle are never zero
Answer» D. The velocity and acceleration of the particle are never zero

Discussion

4504.	A particle moving with a uniform acceleration travels 24 m and 64 m in the first two consecutive intervals of 4 sec each. Its initial velocity is [MP PET 1995]
A.	1 m/sec
B.	\[10\,m/\sec \]
C.	5 m/sec
D.	2 m/sec
Answer» B. \[10\,m/\sec \]

Discussion

4505.	Which of the following four statements is false [Manipal MEE 1995]
A.	A body can have zero velocity and still be accelerated
B.	A body can have a constant velocity and still have a varying speed
C.	A body can have a constant speed and still have a varying velocity
D.	The direction of the velocity of a body can change when its acceleration is constant
Answer» C. A body can have a constant speed and still have a varying velocity

Discussion

4506.	The displacement \[x\] of a particle along a straight line at time \[t\] is given by \[x={{a}_{0}}+{{a}_{1}}t+{{a}_{2}}{{t}^{2}}\]. The acceleration of the particle is [NCERT 1974; RPMT 1999; AFMC 1999]
A.	\[{{a}_{0}}\]
B.	\[{{a}_{1}}\]
C.	\[2{{a}_{2}}\]
D.	\[{{a}_{2}}\]
Answer» D. \[{{a}_{2}}\]

Discussion

4507.	The initial velocity of a body moving along a straight line is 7 \[m/s\]. It has a uniform acceleration of \[4\,m/{{s}^{2}}\]. The distance covered by the body in the 5th second of its motion is [MP PMT 1994]
A.	25 m
B.	35 m
C.	50 m
D.	85 m
Answer» B. 35 m

Discussion

4508.	A particle starting from rest travels a distance \[x\] in first 2 seconds and a distance \[y\] in next two seconds, then [EAMCET 1982]
A.	\[y=x\]
B.	\[y=2x\]
C.	\[y=3x\]
D.	\[y=4x\]
Answer» D. \[y=4x\]

Discussion

4509.	The velocity of a body moving with a uniform acceleration of \[2\,\,m./{{\sec }^{2}}\] is \[10\,\,m/\sec \]. Its velocity after an interval of 4 sec is [EAMCET 1979]
A.	\[12\,\,m/\sec \]
B.	\[14\,\,m/\sec \]
C.	\[16\,\,m/\sec \]
D.	\[18\,\,m/\sec \]
Answer» E.

Discussion

4510.	A motor car moving with a uniform speed of \[20\,m/\sec \] comes to stop on the application of brakes after travelling a distance of\[10\,m\] Its acceleration is [EAMCET 1979]
A.	\[20\,m/{{\sec }^{2}}\]
B.	\[-20m/{{\sec }^{2}}\]
C.	\[-40\,\,m/{{\sec }^{2}}\]
D.	\[+2m/{{\sec }^{2}}\]
Answer» C. \[-40\,\,m/{{\sec }^{2}}\]

Discussion

4511.	The initial velocity of the particle is \[10\,\,m/\sec \] and its retardation is \[=8\times \frac{9}{2}=36\ m\]. The distance moved by the particle in \[5th\] second of its motion is [CPMT 1976]
A.	\[1\,\,m\]
B.	\[19\,\,m\]
C.	\[50\,\,m\]
D.	\[75\,m\]
Answer» B. \[19\,\,m\]

Discussion

4512.	The initial velocity of a particle is \[u\] (at \[t=0\]) and the acceleration \[{{n}^{th}}\] is given by \[at\]. Which of the following relation is valid [CPMT 1981; BHU 1995]
A.	\[v=u+a{{t}^{2}}\]
B.	\[v=u+a\frac{{{t}^{2}}}{2}\]
C.	\[v=u+at\]
D.	\[v=u\]
Answer» C. \[v=u+at\]

Discussion

4513.	A point moves with uniform acceleration and \[{{v}_{1}},\,{{v}_{2}}\] and \[{{v}_{3}}\] denote the average velocities in the three successive intervals of time \[{{t}_{1}},\,{{t}_{2}}\] and \[{{t}_{3}}\]. Which of the following relations is correct [NCERT 1982]
A.	\[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}-{{t}_{2}}):({{t}_{2}}+{{t}_{3}})\]
B.	\[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}+{{t}_{2}}):({{t}_{2}}+{{t}_{3}})\]
C.	\[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}-{{t}_{2}}):({{t}_{1}}-{{t}_{3}})\]
D.	\[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}-{{t}_{2}}):({{t}_{2}}-{{t}_{3}})\]
Answer» C. \[({{v}_{1}}-{{v}_{2}}):({{v}_{2}}-{{v}_{3}})=({{t}_{1}}-{{t}_{2}}):({{t}_{1}}-{{t}_{3}})\]

Discussion

4514.	The relation between time and distance is \[t=\alpha {{x}^{2}}+\beta x\], where \[\alpha \] and \[\beta \] are constants. The retardation is [NCERT 1982; AIEEE 2005]
A.	\[2\alpha {{v}^{3}}\]
B.	\[2\beta {{v}^{3}}\]
C.	\[2\alpha \beta {{v}^{3}}\]
D.	\[2{{\beta }^{2}}{{v}^{3}}\]
Answer» B. \[2\beta {{v}^{3}}\]

Discussion

4515.	A particle experiences a constant acceleration for 20 sec after starting from rest. If it travels a distance \[{{S}_{1}}\] in the first 10 sec and a distance \[{{S}_{2}}\] in the next 10 sec, then [NCERT 1972; CPMT 1997; MP PMT 2002]
A.	\[{{S}_{1}}={{S}_{2}}\]
B.	\[{{S}_{1}}={{S}_{2}}/3\]
C.	\[{{S}_{1}}={{S}_{2}}/2\]
D.	\[{{S}_{1}}={{S}_{2}}/4\]
Answer» C. \[{{S}_{1}}={{S}_{2}}/2\]

Discussion

4516.	A 2 kg stone at the end of a string 1 m long is whirled in a vertical circle at a constant speed. The speed of the stone is 4 m/sec. The tension in the string will be 52 N, when the stone is [AIIMS 1982]
A.	At the top of the circle
B.	At the bottom of the circle
C.	Halfway down
D.	None of the above
Answer» C. Halfway down

Discussion

4517.	A cane filled with water is revolved in a vertical circle of radius 4 meter and the water just does not fall down. The time period of revolution will be [CPMT 1985; RPET 1995; UPSEAT 2002; MH CET 2002]
A.	1 sec
B.	10 sec
C.	8 sec
D.	4 sec
Answer» E.

Discussion

4518.	A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the first 2 sec, it rotates through an angle \[{{\theta }_{1}}\]. In the next 2 sec, it rotates through an additional angle \[{{\theta }_{2}}\]. The ratio of \[\sqrt{3}mg\] is [AIIMS 1985]
A.	1
B.	2
C.	3
D.	5
Answer» D. 5

Discussion

4519.	A bucket tied at the end of a 1.6 m long string is whirled in a vertical circle with constant speed. What should be the minimum speed so that the water from the bucket does not spill, when the bucket is at the highest position (Take \[g=10m/{{\sec }^{2}}\]) [AIIMS 1987]
A.	4 m/sec
B.	6.25 m/sec
C.	16 m/sec
D.	None of the above
Answer» B. 6.25 m/sec

Discussion

4520.	The angle turned by a body undergoing circular motion depends on time as \[\theta ={{\theta }_{0}}+{{\theta }_{1}}t+{{\theta }_{2}}{{t}^{2}}\]. Then the angular acceleration of the body is [Orissa JEE 2005]
A.	\[{{\theta }_{1}}\]
B.	\[{{\theta }_{2}}\]
C.	\[2{{\theta }_{1}}\]
D.	\[2{{\theta }_{2}}\]
Answer» E.

Discussion

4521.	A body of mass 1 kg is moving in a vertical circular path of radius 1m. The difference between the kinetic energies at its highest and lowest position is
A.	20J
B.	10J
C.	\[4\sqrt{5}J\]
D.	\[10\left( \sqrt{5}-1 \right)J\]
Answer» B. 10J

Discussion

4522.	A particle moves in a circular path with decreasing speed. Choose the correct statement. [IIT JEE 2005]
A.	Angular momentum remains constant
B.	Acceleration (\[\vec{a}\]) is towards the center
C.	Particle moves in a spiral path with decreasing radius
D.	The direction of angular momentum remains constant
Answer» E.

Discussion

4523.	The maximum and minimum tension in the string whirling in a circle of radius 2.5 m with constant velocity are in the ratio 5 : 3 then its velocity is [Pb. PET 2003]
A.	\[\sqrt{98}\,\,m/s\]
B.	\[7\,\,m/s\]
C.	\[\sqrt{490}\,\,m/s\]
D.	\[\sqrt{4.9}\]
Answer» B. \[7\,\,m/s\]

Discussion

4524.	Figure shows a body of mass m moving with a uniform speed v along a circle of radius r. The change in velocity in going from A to B is [DPMT 2004]
A.	\[v\sqrt{2}\]
B.	\[v/\sqrt{2}\]
C.	\[v\]
D.	Zero
Answer» B. \[v/\sqrt{2}\]

Discussion

4525.	A bucket full of water is revolved in vertical circle of radius 2m. What should be the maximum time-period of revolution so that the water doesn't fall off the bucket [AFMC 2004]
A.	1 sec
B.	2 sec
C.	3 sec
D.	4 sec
Answer» D. 4 sec

Discussion

4526.	A body of mass 0.4 kg is whirled in a vertical circle making 2 rev/sec. If the radius of the circle is 2 m, then tension in the string when the body is at the top of the circle, is [CBSE PMT 1999]
A.	41.56 N
B.	89.86 N
C.	109.86 N
D.	115.86 N
Answer» E.

Discussion

4527.	A small disc is on the top of a hemisphere of radius \[R\]. What is the smallest horizontal velocity v that should be given to the disc for it to leave the hemisphere and not slide down it ? [There is no friction] [CPMT 1991]
A.	\[v=\sqrt{2gR}\]
B.	\[v=\sqrt{gR}\]
C.	\[v=\frac{g}{R}\]
D.	\[v=\sqrt{{{g}^{2}}R}\]
Answer» C. \[v=\frac{g}{R}\]

Discussion

4528.	A bottle of sodawater is grasped by the neck and swing briskly in a vertical circle. Near which portion of the bottle do the bubbles collect
A.	Near the bottom
B.	In the middle of the bottle
C.	Near the neck
D.	Uniformly distributed in the bottle
Answer» D. Uniformly distributed in the bottle

Discussion

4529.	The coordinates of a moving particle at any time ?t? are given by x = at3 and y = bt3. The speed of the particle at time ?t? is given by [AIEEE 2003]
A.	\[\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}}\]
B.	\[3\,t\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}}\]
C.	\[3\,{{t}^{2}}\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}}\]
D.	\[{{t}^{2}}\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}}\]
Answer» D. \[{{t}^{2}}\sqrt{{{\alpha }^{2}}+{{\beta }^{2}}}\]

Discussion

4530.	A particle is kept at rest at the top of a sphere of diameter 42 m. When disturbed slightly, it slides down. At what height ?h? from the bottom, the particle will leave the sphere [BHU 2003]
A.	14 m
B.	28 m
C.	35 m
D.	7 m
Answer» D. 7 m

Discussion

4531.	A body crosses the topmost point of a vertical circle with critical speed. Its centripetal acceleration, when the string is horizontal will be [MH CET 2002]
A.	6 g
B.	3 g
C.	2 g
D.	g
Answer» C. 2 g

Discussion

4532.	A simple pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob. What is the maximum displacement of the pendulum of the string with respect to the vertical [Orissa JEE 2002]
A.	\[{{30}^{o}}\]
B.	\[{{45}^{o}}\]
C.	\[{{60}^{o}}\]
D.	\[{{90}^{o}}\]
Answer» E.

Discussion

4533.	When a ceiling fan is switched off its angular velocity reduces to 50% while it makes 36 rotations. How many more rotation will it make before coming to rest (Assume uniform angular retardation) [KCET 2001]
A.	18
B.	12
C.	36
D.	48
Answer» C. 36

Discussion

4534.	A coin, placed on a rotating turn-table slips, when it is placed at a distance of 9 cm from the centre. If the angular velocity of the turn-table is trippled, it will just slip, if its distance from the centre is [CPMT 2001]
A.	27 cm
B.	9 cm
C.	3 cm
D.	1 cm
Answer» E.

Discussion

4535.	As per given figure to complete the circular loop what should be the radius if initial height is 5 m [RPET 2001]
A.	4 m
B.	3 m
C.	2.5 m
D.	2 m
Answer» E.

Discussion

4536.	A ball is moving to and fro about the lowest point A of a smooth hemispherical bowl. If it is able to rise up to a height of 20 cm on either side of A, its speed at A must be (Take = 10 m/s2, mass of the body 5 g) [JIPMER 2000]
A.	0.2 m/s
B.	2 m/s
C.	4 m/s
D.	4.5 \[m{{s}^{1}}\]
Answer» C. 4 m/s

Discussion

4537.	A stone of mass m is tied to a string and is moved in a vertical circle of radius r making n revolutions per minute. The total tension in the string when the stone is at its lowest point is [Kerala (Engg.) 2001]
A.	\[mg\]
B.	\[m(g+\pi \,n\,{{r}^{2}})\]
C.	\[m(g+\pi \,n\,r)\]
D.	\[m\{g+({{\pi }^{2}}\,{{n}^{2}}\,r)/900\}\]
Answer» E.

Discussion

4538.	A sphere is suspended by a thread of length \[l\]. What minimum horizontal velocity has to be imparted the ball for it to reach the height of the suspension [ISM Dhanbad 1994]
A.	\[gl\]
B.	\[2gl\]
C.	\[\sqrt{gl}\]
D.	\[\sqrt{2gl}\]
Answer» E.

Discussion

4539.	For a particle in a non-uniform accelerated circular motion [AMU (Med.) 2000]
A.	Velocity is radial and acceleration is transverse only
B.	Velocity is transverse and acceleration is radial only
C.	Velocity is radial and acceleration has both radial and transverse components
D.	Velocity is transverse and acceleration has both radial and transverse components
Answer» E.

Discussion

4540.	A stone tied with a string, is rotated in a vertical circle. The minimum speed with which the string has to be rotated [CBSE PMT 1999]
A.	Is independent of the mass of the stone
B.	Is independent of the length of the string
C.	Decreases with increasing mass of the stone
D.	Decreases with increasing in length of the string
Answer» B. Is independent of the length of the string

Discussion

4541.	A particle is tied to 20cm long string. It performs circular motion in vertical plane. What is the angular velocity of string when the tension in the string at the top is zero [RPMT 1999]
A.	\[5\,rad/sec\]
B.	\[2\,rad/sec\]
C.	\[7.5\,rad/sec\]
D.	\[7\,rad/sec\]
Answer» E.

Discussion

4542.	A fan is making 600 revolutions per minute. If after some time it makes 1200 revolutions per minute, then increase in its angular velocity is [BHU 1999]
A.	\[10\,\pi \,rad/\sec \]
B.	\[20\,\pi \,rad/\sec \]
C.	\[40\,\pi \,rad/\sec \]
D.	\[60\,\pi \,rad/\sec \]
Answer» C. \[40\,\pi \,rad/\sec \]

Discussion

4543.	A pendulum bob on a 2 m string is displaced 60o from the vertical and then released. What is the speed of the bob as it passes through the lowest point in its path [JIPMER 1999]
A.	\[\sqrt{2}\,\,m/s\]
B.	\[\sqrt{9.8}\,\,m/s\]
C.	4.43 m/s
D.	\[1/\sqrt{2}\,\,m/s\]
Answer» D. \[1/\sqrt{2}\,\,m/s\]

Discussion

4544.	A block follows the path as shown in the figure from height \[h\]. If radius of circular path is \[r\], then relation that holds good to complete full circle is [RPET 1997]
A.	\[h<5r/2\]
B.	\[h>5r/2\]
C.	\[h=5r/2\]
D.	\[h\ge 5r/2\]
Answer» E.

Discussion

4545.	A hollow sphere has radius 6.4 m. Minimum velocity required by a motor cyclist at bottom to complete the circle will be [RPET 1997]
A.	17.7 m/s
B.	10.2 m/s
C.	12.4 m/s
D.	16.0 m/s
Answer» B. 10.2 m/s

Discussion

4546.	The tension in the string revolving in a vertical circle with a mass \[m\] at the end which is at the lowest position [EAMCET (Engg.) 1995; AIIMS 2001]
A.	\[\frac{m{{v}^{2}}}{r}\]
B.	\[\frac{m{{v}^{2}}}{r}-mg\]
C.	\[\frac{m{{v}^{2}}}{r}+mg\]
D.	\[mg\]
Answer» D. \[mg\]

Discussion

4547.	In a vertical circle of radius r, at what point in its path a particle has tension equal to zero if it is just able to complete the vertical circle [EAMCET 1994]
A.	Highest point
B.	Lowest point
C.	Any point
D.	At a point horizontally from the centre of circle of radius r
Answer» B. Lowest point

Discussion

4548.	A block of mass \[m\] at the end of a string is whirled round in a vertical circle of radius \[R\]. The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is [DCE 1999, 2001]
A.	\[Rg\]
B.	\[{{(Rg)}^{2}}\]
C.	\[R/g\]
D.	\[\sqrt{Rg}\]
Answer» E.

Discussion

4549.	A body of mass \[m\] hangs at one end of a string of length l, the other end of which is fixed. It is given a horizontal velocity so that the string would just reach where it makes an angle of \[{{60}^{o}}\] with the vertical. The tension in the string at mean position is [ISM Dhanbad 1994]
A.	\[2\,mg\]
B.	\[mg\]
C.	\[3mg\]
D.	\[\sqrt{3}mg\]
Answer» B. \[mg\]

Discussion

4550.	If the equation for the displacement of a particle moving on a circular path is given by \[(\theta )=2{{t}^{3}}+0.5\], where \[\theta \] is in radians and \[t\] in seconds, then the angular velocity of the particle after 2 sec from its start is [AIIMS 1998]
A.	8 rad/sec
B.	12 rad/sec
C.	24 rad/sec
D.	36 rad/sec
Answer» D. 36 rad/sec

Discussion

Explore topic-wise MCQs in Joint Entrance Exam - Main (JEE Main).

A body of mass 10 kg is moving with a constant velocity of 10 m/s. When a constant force acts for 4 seconds on it, it moves with a velocity 2 m/sec in the opposite direction. The acceleration produced in it is [MP PET 1997]

If body having initial velocity zero is moving with uniform acceleration \[8\,\,m/{{\sec }^{2}}\] the distance travelled by it in fifth second will be [MP PMT 1996; DPMT 2001]

The position of a particle moving in the xy-plane at any time \[t\] is given by \[x=(3{{t}^{2}}-6t)\] metres, \[y=({{t}^{2}}-2t)\] metres. Select the correct statement about the moving particle from the following [MP PMT 1995]

A particle moving with a uniform acceleration travels 24 m and 64 m in the first two consecutive intervals of 4 sec each. Its initial velocity is [MP PET 1995]

Which of the following four statements is false [Manipal MEE 1995]

The displacement \[x\] of a particle along a straight line at time \[t\] is given by \[x={{a}_{0}}+{{a}_{1}}t+{{a}_{2}}{{t}^{2}}\]. The acceleration of the particle is [NCERT 1974; RPMT 1999; AFMC 1999]

The initial velocity of a body moving along a straight line is 7 \[m/s\]. It has a uniform acceleration of \[4\,m/{{s}^{2}}\]. The distance covered by the body in the 5th second of its motion is [MP PMT 1994]

A particle starting from rest travels a distance \[x\] in first 2 seconds and a distance \[y\] in next two seconds, then [EAMCET 1982]

The velocity of a body moving with a uniform acceleration of \[2\,\,m./{{\sec }^{2}}\] is \[10\,\,m/\sec \]. Its velocity after an interval of 4 sec is [EAMCET 1979]

A motor car moving with a uniform speed of \[20\,m/\sec \] comes to stop on the application of brakes after travelling a distance of\[10\,m\] Its acceleration is [EAMCET 1979]

The initial velocity of the particle is \[10\,\,m/\sec \] and its retardation is \[=8\times \frac{9}{2}=36\ m\]. The distance moved by the particle in \[5th\] second of its motion is [CPMT 1976]

The initial velocity of a particle is \[u\] (at \[t=0\]) and the acceleration \[{{n}^{th}}\] is given by \[at\]. Which of the following relation is valid [CPMT 1981; BHU 1995]

A point moves with uniform acceleration and \[{{v}_{1}},\,{{v}_{2}}\] and \[{{v}_{3}}\] denote the average velocities in the three successive intervals of time \[{{t}_{1}},\,{{t}_{2}}\] and \[{{t}_{3}}\]. Which of the following relations is correct [NCERT 1982]

The relation between time and distance is \[t=\alpha {{x}^{2}}+\beta x\], where \[\alpha \] and \[\beta \] are constants. The retardation is [NCERT 1982; AIEEE 2005]

A particle experiences a constant acceleration for 20 sec after starting from rest. If it travels a distance \[{{S}_{1}}\] in the first 10 sec and a distance \[{{S}_{2}}\] in the next 10 sec, then [NCERT 1972; CPMT 1997; MP PMT 2002]

A 2 kg stone at the end of a string 1 m long is whirled in a vertical circle at a constant speed. The speed of the stone is 4 m/sec. The tension in the string will be 52 N, when the stone is [AIIMS 1982]

A cane filled with water is revolved in a vertical circle of radius 4 meter and the water just does not fall down. The time period of revolution will be [CPMT 1985; RPET 1995; UPSEAT 2002; MH CET 2002]

A bucket tied at the end of a 1.6 m long string is whirled in a vertical circle with constant speed. What should be the minimum speed so that the water from the bucket does not spill, when the bucket is at the highest position (Take \[g=10m/{{\sec }^{2}}\]) [AIIMS 1987]

The angle turned by a body undergoing circular motion depends on time as \[\theta ={{\theta }_{0}}+{{\theta }_{1}}t+{{\theta }_{2}}{{t}^{2}}\]. Then the angular acceleration of the body is [Orissa JEE 2005]

A body of mass 1 kg is moving in a vertical circular path of radius 1m. The difference between the kinetic energies at its highest and lowest position is

A particle moves in a circular path with decreasing speed. Choose the correct statement. [IIT JEE 2005]

The maximum and minimum tension in the string whirling in a circle of radius 2.5 m with constant velocity are in the ratio 5 : 3 then its velocity is [Pb. PET 2003]

Figure shows a body of mass m moving with a uniform speed v along a circle of radius r. The change in velocity in going from A to B is [DPMT 2004]

A bucket full of water is revolved in vertical circle of radius 2m. What should be the maximum time-period of revolution so that the water doesn't fall off the bucket [AFMC 2004]

A body of mass 0.4 kg is whirled in a vertical circle making 2 rev/sec. If the radius of the circle is 2 m, then tension in the string when the body is at the top of the circle, is [CBSE PMT 1999]

A small disc is on the top of a hemisphere of radius \[R\]. What is the smallest horizontal velocity v that should be given to the disc for it to leave the hemisphere and not slide down it ? [There is no friction] [CPMT 1991]

A bottle of sodawater is grasped by the neck and swing briskly in a vertical circle. Near which portion of the bottle do the bubbles collect

The coordinates of a moving particle at any time ?t? are given by x = at3 and y = bt3. The speed of the particle at time ?t? is given by [AIEEE 2003]

A particle is kept at rest at the top of a sphere of diameter 42 m. When disturbed slightly, it slides down. At what height ?h? from the bottom, the particle will leave the sphere [BHU 2003]

A body crosses the topmost point of a vertical circle with critical speed. Its centripetal acceleration, when the string is horizontal will be [MH CET 2002]

A simple pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob. What is the maximum displacement of the pendulum of the string with respect to the vertical [Orissa JEE 2002]

When a ceiling fan is switched off its angular velocity reduces to 50% while it makes 36 rotations. How many more rotation will it make before coming to rest (Assume uniform angular retardation) [KCET 2001]

A coin, placed on a rotating turn-table slips, when it is placed at a distance of 9 cm from the centre. If the angular velocity of the turn-table is trippled, it will just slip, if its distance from the centre is [CPMT 2001]

As per given figure to complete the circular loop what should be the radius if initial height is 5 m [RPET 2001]

A ball is moving to and fro about the lowest point A of a smooth hemispherical bowl. If it is able to rise up to a height of 20 cm on either side of A, its speed at A must be (Take = 10 m/s2, mass of the body 5 g) [JIPMER 2000]

A stone of mass m is tied to a string and is moved in a vertical circle of radius r making n revolutions per minute. The total tension in the string when the stone is at its lowest point is [Kerala (Engg.) 2001]

A sphere is suspended by a thread of length \[l\]. What minimum horizontal velocity has to be imparted the ball for it to reach the height of the suspension [ISM Dhanbad 1994]

For a particle in a non-uniform accelerated circular motion [AMU (Med.) 2000]

A stone tied with a string, is rotated in a vertical circle. The minimum speed with which the string has to be rotated [CBSE PMT 1999]

A particle is tied to 20cm long string. It performs circular motion in vertical plane. What is the angular velocity of string when the tension in the string at the top is zero [RPMT 1999]

A fan is making 600 revolutions per minute. If after some time it makes 1200 revolutions per minute, then increase in its angular velocity is [BHU 1999]

A pendulum bob on a 2 m string is displaced 60o from the vertical and then released. What is the speed of the bob as it passes through the lowest point in its path [JIPMER 1999]

A block follows the path as shown in the figure from height \[h\]. If radius of circular path is \[r\], then relation that holds good to complete full circle is [RPET 1997]

A hollow sphere has radius 6.4 m. Minimum velocity required by a motor cyclist at bottom to complete the circle will be [RPET 1997]

The tension in the string revolving in a vertical circle with a mass \[m\] at the end which is at the lowest position [EAMCET (Engg.) 1995; AIIMS 2001]

In a vertical circle of radius r, at what point in its path a particle has tension equal to zero if it is just able to complete the vertical circle [EAMCET 1994]

A block of mass \[m\] at the end of a string is whirled round in a vertical circle of radius \[R\]. The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is [DCE 1999, 2001]

A body of mass \[m\] hangs at one end of a string of length l, the other end of which is fixed. It is given a horizontal velocity so that the string would just reach where it makes an angle of \[{{60}^{o}}\] with the vertical. The tension in the string at mean position is [ISM Dhanbad 1994]

If the equation for the displacement of a particle moving on a circular path is given by \[(\theta )=2{{t}^{3}}+0.5\], where \[\theta \] is in radians and \[t\] in seconds, then the angular velocity of the particle after 2 sec from its start is [AIIMS 1998]