12583 + Mcqs in Physics Page 225 McqOptions

11201.	A body of mass 100 g is rotating in a circular path of radius r with constant velocity. The work done in one complete revolution is [AFMC 1998]
A.	100 rJ
B.	\[(r/100)J\]
C.	\[(100/r)J\]
D.	Zero
Answer» E.

Discussion

11202.	A circular road of radius 1000 m has banking angle \[{{45}^{o}}\]. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between tyre and road is 0.5 [RPET 1997]
A.	172 m/s
B.	124 m/s
C.	99 m/s
D.	86 m/s
Answer» B. 124 m/s

Discussion

11203.	A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/hr. The centripetal force is [KCET 2001; CBSE PMT 1999; JIPMER 2001, 02]
A.	250 N
B.	750 N
C.	1000 N
D.	1200 N
Answer» D. 1200 N

Discussion

11204.	A mass of 2 kg is whirled in a horizontal circle by means of a string at an initial speed of 5 revolutions per minute. Keeping the radius constant the tension in the string is doubled. The new speed is nearly [MP PMT/PET 1998; JIPMER 2000]
A.	14 rpm
B.	10 rpm
C.	2.25 rpm
D.	7 rpm
Answer» E.

Discussion

11205.	A boy on a cycle pedals around a circle of 20 metres radius at a speed of \[20\,metres/\sec .\] The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that it may not fall is \[(g=9.8\,m/{{\sec }^{2}})\] [MP PMT 1995]
A.	\[{{60.25}^{o}}\]
B.	\[{{63.90}^{o}}\]
C.	\[{{26.12}^{o}}\]
D.	\[{{30.00}^{o}}\]
Answer» C. \[{{26.12}^{o}}\]

Discussion

11206.	A body of mass \[m\] is moving in a circle of radius \[r\] with a constant speed \[v\]. The force on the body is \[\frac{m{{v}^{2}}}{r}\] and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle [NCERT 1977; RPET 1999]
A.	\[\frac{m{{v}^{2}}}{r}\times \pi r\]
B.	Zero
C.	\[\frac{m{{v}^{2}}}{{{r}^{2}}}\]
D.	\[\frac{\pi {{r}^{2}}}{m{{v}^{2}}}\]
Answer» C. \[\frac{m{{v}^{2}}}{{{r}^{2}}}\]

Discussion

11207.	The length of second's hand in a watch is 1 cm. The change in velocity of its tip in 15 seconds is [MP PMT 1987, 2003]
A.	Zero
B.	\[\frac{\pi }{30\sqrt{2}}cm/\sec \]
C.	\[\frac{\pi }{30}cm/\sec \]
D.	\[\frac{\pi \sqrt{2}}{30}cm/\sec \]
Answer» E.

Discussion

11208.	A car is moving on a circular path and takes a turn. If \[{{R}_{1}}\] and \[{{R}_{2}}\] be the reactions on the inner and outer wheels respectively, then [MH CET (Med.) 2001]
A.	\[{{R}_{1}}={{R}_{2}}\]
B.	\[{{R}_{1}}<{{R}_{2}}\]
C.	\[{{R}_{1}}>{{R}_{2}}\]
D.	\[{{R}_{1}}\ge {{R}_{2}}\]
Answer» C. \[{{R}_{1}}>{{R}_{2}}\]

Discussion

11209.	A train is moving towards north. At one place it turns towards north-east, here we observe that [AIIMS 1980]
A.	The radius of curvature of outer rail will be greater than that of the inner rail
B.	The radius of the inner rail will be greater than that of the outer rail
C.	The radius of curvature of one of the rails will be greater
D.	The radius of curvature of the outer and inner rails will be the same
Answer» B. The radius of the inner rail will be greater than that of the outer rail

Discussion

11210.	The ratio of angular speeds of minute hand and hour hand of a watch is [MH CET 2002]
A.	1 : 12
B.	6 : 1
C.	12 : 1
D.	1 : 6
Answer» D. 1 : 6

Discussion

11211.	When a body moves with a constant speed along a circle [CBSE PMT 1994; Orissa PMT 2004]
A.	No work is done on it
B.	No acceleration is produced in the body
C.	No force acts on the body
D.	Its velocity remains constant
Answer» B. No acceleration is produced in the body

Discussion

11212.	Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is v0, then the ratio of tensions in the three sections of the string is [UPSEAT 2003]
A.	3 : 5 : 7
B.	3 : 4 : 5
C.	7 : 11 : 6
D.	3 : 5 : 6
Answer» E.

Discussion

11213.	A car of mass 800 kg moves on a circular track of radius 40 m. If the coefficient of friction is 0.5, then maximum velocity with which the car can move is [MH CET 2004]
A.	7 m/s
B.	14 m/s
C.	8 m/s
D.	12 m/s
Answer» C. 8 m/s

Discussion

11214.	The acceleration of a train travelling with speed of 400 m/s as it goes round a curve of radius 160 m, is [Pb. PET 2003]
A.	\[1\,\,km/{{s}^{2}}\]
B.	\[100\,\,\,m/{{s}^{2}}\]
C.	\[10\,\,m/{{s}^{2}}\]
D.	\[1\,\,m/{{s}^{2}}\]
Answer» B. \[100\,\,\,m/{{s}^{2}}\]

Discussion

11215.	If \[{{a}_{r}}\] and \[{{a}_{t}}\]represent radial and tangential accelerations, the motion of a particle will be uniformly circular if [CPMT 2004]
A.	\[{{a}_{r}}=0\] and \[{{a}_{t}}=0\]
B.	\[{{a}_{r}}=0\] but \[{{a}_{t}}\ne 0\]
C.	\[{{a}_{r}}\ne 0\] but \[{{a}_{t}}=0\]
D.	\[{{a}_{r}}\ne 0\] and \[{{a}_{t}}\ne 0\]
Answer» D. \[{{a}_{r}}\ne 0\] and \[{{a}_{t}}\ne 0\]

Discussion

11216.	When a body moves in a circular path, no work is done by the force since, [KCET 2004]
A.	There is no displacement
B.	There is no net force
C.	Force and displacement are perpendicular to each other
D.	The force is always away from the centre
Answer» D. The force is always away from the centre

Discussion

11217.	A car moving on a horizontal road may be thrown out of the road in taking a turn [NCERT 1983]
A.	By the gravitational force
B.	Due to lack of sufficient centripetal force
C.	Due to rolling frictional force between tyre and road
D.	Due to the reaction of the ground
Answer» C. Due to rolling frictional force between tyre and road

Discussion

11218.	An aeroplane flying 490 m above ground level at 100 m/s, releases a block. How far on ground will it strike
A.	0.1 km
B.	1 km
C.	2 km
D.	None
Answer» C. 2 km

Discussion

11219.	A ball is rolled off the edge of a horizontal table at a speed of 4 m/second. It hits the ground after 0.4 second. Which statement given below is true
A.	It hits the ground at a horizontal distance 1.6 m from the edge of the table
B.	The speed with which it hits the ground is 4.0 m/second
C.	Height of the table is 0.8 m
D.	It hits the ground at an angle of \[{{60}^{o}}\] to the horizontal
Answer» 1 , 3. The speed with which it hits the ground is 4.0 m/second

Discussion

11220.	An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is
A.	1200 m
B.	0.33 km
C.	3.33 km
D.	33 km
Answer» D. 33 km

Discussion

11221.	A ball is projected with kinetic energy \[E\]at an angle of \[{{45}^{o}}\] to the horizontal. At the highest point during its flight, its kinetic energy will be
A.	Zero
B.	\[\frac{E}{2}\]
C.	\[\frac{E}{\sqrt{2}}\]
D.	\[E\]
Answer» C. \[\frac{E}{\sqrt{2}}\]

Discussion

11222.	The horizontal range is four times the maximum height attained by a projectile. The angle of projection is
A.	\[{{90}^{o}}\]
B.	\[{{60}^{o}}\]
C.	\[{{45}^{o}}\]
D.	\[{{30}^{o}}\]
Answer» D. \[{{30}^{o}}\]

Discussion

11223.	The greatest height to which a man can throw a stone is \[\sqrt{\frac{F}{m\,r}}\]. The greatest distance to which he can throw it, will be
A.	\[2\,\pi \,{{r}^{2}}/T\]
B.	\[\upsilon ,\,\upsilon \text{ and }\upsilon \]
C.	\[2h\]
D.	\[3h\]
Answer» D. \[3h\]

Discussion

11224.	Galileo writes that for angles of projection of a projectile at angles \[(45+\theta )\] and \[(45-\theta )\], the horizontal ranges described by the projectile are in the ratio of (if \[\theta \le 45)\]
A.	0.0840277777777778
B.	0.0430555555555556
C.	0.0423611111111111
D.	0.0854166666666667
Answer» D. 0.0854166666666667

Discussion

11225.	A stone is projected from the ground with velocity \[25\,m/s\]. Two seconds later, it just clears a wall 5 m high. The angle of projection of the stone is \[(g=10m/{{\sec }^{2}})\]
A.	\[{{30}^{o}}\]
B.	\[{{45}^{o}}\]
C.	\[{{50.2}^{o}}\]
D.	\[{{60}^{o}}\]
Answer» B. \[{{45}^{o}}\]

Discussion

11226.	A cricketer hits a ball with a velocity \[25\,\,m/s\] at \[{{60}^{o}}\] above the horizontal. How far above the ground it passes over a fielder 50 \[m\] from the bat (assume the ball is struck very close to the ground)
A.	8.2 m
B.	9.0 m
C.	11.6 m
D.	12.7 m
Answer» B. 9.0 m

Discussion

11227.	The range of a particle when launched at an angle of \[{{15}^{o}}\] with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of \[{{45}^{o}}\] to the horizontal
A.	1.5 km
B.	3.0 km
C.	6.0 km
D.	0.75 km
Answer» C. 6.0 km

Discussion

11228.	Referring to above question, the angle with the horizontal at which the projectile was projected is
A.	\[{{\tan }^{-1}}(3/4\])
B.	\[{{\tan }^{-1}}(4/3)\]
C.	\[{{\sin }^{-1}}(3/4\])
D.	Not obtainable from the given data
Answer» C. \[{{\sin }^{-1}}(3/4\])

Discussion

11229.	The height \[y\] and the distance \[x\] along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by \[y=(8t-5{{t}^{2}})\] meter and \[x=6t\] meter, where \[t\] is in second. The velocity with which the projectile is projected is
A.	8 m/sec
B.	6 m/sec
C.	10 m/sec
D.	Not obtainable from the data
Answer» D. Not obtainable from the data

Discussion

11230.	An object is thrown along a direction inclined at an angle of \[{{45}^{o}}\] with the horizontal direction. The horizontal range of the particle is equal to
A.	Vertical height
B.	Twice the vertical height
C.	Thrice the vertical height
D.	Four times the vertical height
Answer» E.

Discussion

11231.	A projectile fired with initial velocity \[u\] at some angle \[\theta \] has a range \[R\]. If the initial velocity be doubled at the same angle of projection, then the range will be
A.	\[2R\]
B.	\[R/2\]
C.	\[R\]
D.	\[4R\]
Answer» E.

Discussion

11232.	A large number of bullets are fired in all directions with same speed \[v\]. What is the maximum area on the ground on which these bullets will spread
A.	\[\pi \frac{{{v}^{2}}}{g}\]
B.	\[\pi \frac{{{v}^{4}}}{{{g}^{2}}}\]
C.	\[{{\pi }^{2}}\frac{{{v}^{4}}}{{{g}^{2}}}\]
D.	\[{{\pi }^{2}}\frac{{{v}^{2}}}{{{g}^{2}}}\]
Answer» C. \[{{\pi }^{2}}\frac{{{v}^{4}}}{{{g}^{2}}}\]

Discussion

11233.	A bomber plane moves horizontally with a speed of 500 m/s and a bomb released from it, strikes the ground in 10 sec. Angle at which it strikes the ground will be \[(g=10\,\,m/{{s}^{2}})\]
A.	\[{{\tan }^{-1}}\left( \frac{1}{5} \right)\]
B.	\[\tan \,\left( \frac{1}{5} \right)\]
C.	\[{{\tan }^{-1}}(1)\]
D.	\[{{\tan }^{-1}}(5)\]
Answer» B. \[\tan \,\left( \frac{1}{5} \right)\]

Discussion

11234.	A particle moves in a plane with constant acceleration in a direction different from the initial velocity. The path of the particle will be
A.	A straight line
B.	An arc of a circle
C.	A parabola
D.	An ellipse
Answer» D. An ellipse

Discussion

11235.	A particle is dropped from a height and another particle is thrown in horizontal direction with speed of 5 m/sec from the same height. The correct statement is
A.	Both particles will reach at ground simultaneously
B.	Both particles will reach at ground with same speed
C.	Particle will reach at ground first with respect to particle
D.	Particle will reach at ground first with respect to particle
Answer» B. Both particles will reach at ground with same speed

Discussion

11236.	An aeroplane moving horizontally with a speed of 720 km/h drops a food pocket, while flying at a height of 396.9 m. the time taken by a food pocket to reach the ground and its horizontal range is (Take \[g=\text{ }9.8m/se{{c}^{2}}\])
A.	3 sec and 2000 m
B.	5 sec and 500 m
C.	8 sec and 1500 m
D.	9 sec and 1800 m
Answer» E.

Discussion

11237.	Three points are located at the vertices of an equilateral triangle whose side equal to a. They all start moving simultaneously with velocity v constant in modulus, with first point heading continually for the second, the second for the third, and the third for the first. How soon will the points converge?
A.	\[3v/2a\]
B.	\[2a/5v\]
C.	\[5v/3a\]
D.	\[~2a/3v\]
Answer» E.

Discussion

11238.	The velocity of projection of a body is increased by 2%. Other factors remaining unchanged, what will be the percentage change in the maximum height attained?
A.	0.01
B.	0.02
C.	0.04
D.	0.08
Answer» D. 0.08

Discussion

11239.	Two particles are projected simultaneously from the level ground as shown in figure. They may collide after a time:
A.	\[\frac{x\sin {{\theta }_{2}}_{\,}}{{{u}_{1}}}\]
B.	\[\frac{x\text{ cos}{{\theta }_{2}}_{\,}}{{{u}_{2}}}\]
C.	\[\frac{x\sin {{\theta }_{2}}_{\,}}{{{u}_{1}}\sin \left( {{\theta }_{2}}-{{\theta }_{1}} \right)}\]
D.	\[\frac{x\sin {{\theta }_{1}}_{\,}}{{{u}_{2}}\sin \left( {{\theta }_{2}}-{{\theta }_{1}} \right)}\]
Answer» D. \[\frac{x\sin {{\theta }_{1}}_{\,}}{{{u}_{2}}\sin \left( {{\theta }_{2}}-{{\theta }_{1}} \right)}\]

Discussion

11240.	A cricket ball thrown across a field is at heights \[{{h}_{1}},\] and \[{{h}_{2}}\] from point of projection at times \[{{t}_{1}}\] and \[{{t}_{2}}\] respectively after the throw. The ball is caught by a fielder at the same height as that of projection. The time of flight of the ball in this journey is
A.	\[\frac{{{h}_{1}}t_{2}^{2}-{{h}_{2}}t_{1}^{2}}{{{h}_{1}}{{t}_{2}}-{{h}_{2}}{{t}_{1}}}\]
B.	\[\frac{{{h}_{1}}t_{2}^{2}+{{h}_{2}}t_{1}^{2}}{{{h}_{1}}{{t}_{2}}+{{h}_{2}}{{t}_{1}}}\]
C.	\[\frac{{{h}_{1}}{{t}_{2}}}{{{h}_{1}}{{t}_{2}}-{{h}_{2}}{{t}_{1}}}\]
D.	None
Answer» B. \[\frac{{{h}_{1}}t_{2}^{2}+{{h}_{2}}t_{1}^{2}}{{{h}_{1}}{{t}_{2}}+{{h}_{2}}{{t}_{1}}}\]

Discussion

11241.	A bomb is dropped on an enemy post by an aero plane flying horizontally with a velocity of \[60\text{ }km\text{ }{{h}^{-1}}\] and at a height of 490 m. At the time of dropping the bomb, how far the aero plane should be from the enemy post so that the bomb may directly hit the target?
A.	\[\frac{400}{3}\text{m}\]
B.	\[\frac{500}{3}\text{m}\]
C.	\[\frac{1700}{3}\text{m}\]
D.	\[\text{498}\,\text{m}\]
Answer» C. \[\frac{1700}{3}\text{m}\]

Discussion

11242.	If a particle is projected with speed u from ground at an angle with horizontal, then radius of curvature of a point where velocity vector is perpendicular to initial velocity vector is given by
A.	\[\frac{{{u}^{2}}{{\cos }^{2}}\theta }{g}\]
B.	\[\frac{{{u}^{2}}{{\cot }^{2}}\theta }{g\sin \theta }\]
C.	\[\frac{{{u}^{2}}}{g}\]
D.	\[\frac{{{u}^{2}}{{\tan }^{2}}\theta }{g\cos \theta }\]
Answer» C. \[\frac{{{u}^{2}}}{g}\]

Discussion

11243.	A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone up to will be
A.	20\[\sqrt{2}\] m
B.	10 m
C.	10\[\sqrt{2}\]m
D.	20 m
Answer» E.

Discussion

11244.	If the angles of projection of a projectile with same initial velocity exceed or fall short of \[45{}^\circ \] by equal amounts , then the ratio of horizontal ranges is
A.	\[1\text{ }:\text{ }2\]
B.	\[1\text{ }:\text{ }3~\]
C.	\[1\text{ }:\text{ }4\]
D.	\[1\text{ }:\text{ }1\]
Answer» E.

Discussion

11245.	\[\overrightarrow{a}=3\,\hat{i}-5\hat{j}\] and \[\overrightarrow{b}=6\,\hat{i}+3\,\hat{j}\] are two vectors and \[\overrightarrow{c}\] is a vector such that \[\overrightarrow{c}=\overrightarrow{a}\times \overrightarrow{b}\] then \[\|\overrightarrow{a}\|:\|\overrightarrow{b}\|:\|\overrightarrow{c}\|\]
A.	\[\sqrt{34}:\sqrt{45}:\sqrt{39}\]
B.	\[\sqrt{34}:\sqrt{45}:39\]
C.	\[34\text{ }:\text{ }39\text{ }:\text{ }45\]
D.	\[39\text{ }:\text{ }35\text{ }:\text{ }34\]
Answer» C. \[34\text{ }:\text{ }39\text{ }:\text{ }45\]

Discussion

11246.	The velocity of a projectile at the initial point A is \[\left( 2\widehat{i}\text{ }+\text{ }3\widehat{j} \right)\]m/s its velocity (in m/s) at point B is
A.	\[-2\widehat{i}\text{ }+\text{ }3\widehat{j}\]
B.	\[2\widehat{i}-3\widehat{j}\]
C.	\[2\widehat{i}+3\widehat{j}\]
D.	\[-2\widehat{i}-3\widehat{j}\]
Answer» C. \[2\widehat{i}+3\widehat{j}\]

Discussion

11247.	A particle has an initial velocity \[3\hat{i}+\text{ }4\hat{j}\] and an acceleration of \[0.4\,\hat{i}+0.3\hat{j}\]. Its speed after 10 sec is
A.	7\[\sqrt{2}\]units
B.	7 units
C.	8.5 units
D.	10 units
Answer» B. 7 units

Discussion

11248.	It is found that \[\|A+B\|\,=\,\|A\|\]. This necessarily implies,
A.	\[B=0\]
B.	A, B are antiparallel
C.	A, B are perpendicular
D.	\[A,\text{ }B\le 0\]
Answer» C. A, B are perpendicular

Discussion

11249.	A stone is thrown from a point with a speed 5 m/s at an elevation angle of \[\theta \]. From the same point and at the same instant, a person starts running with a constant speed 2.5 m/s to catch the stone. If the person will be able to catch the ball then, what should be the angle of projection \[\theta \]?
A.	\[75{}^\circ ~~\]
B.	\[30{}^\circ \]
C.	\[60{}^\circ \]
D.	\[45{}^\circ \]
Answer» D. \[45{}^\circ \]

Discussion

11250.	A 1 kg stone at the end of 1 m long string is whirled in a vertical circle at constant speed of 4 m/sec. The tension in the string is 6 N, when the stone is at (g = 10 m/sec2) [AIIMS 1982]
A.	Top of the circle
B.	Bottom of the circle
C.	Half way down
D.	None of the above
Answer» B. Bottom of the circle

Discussion

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

A body of mass 100 g is rotating in a circular path of radius r with constant velocity. The work done in one complete revolution is [AFMC 1998]

A circular road of radius 1000 m has banking angle \[{{45}^{o}}\]. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between tyre and road is 0.5 [RPET 1997]

A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/hr. The centripetal force is [KCET 2001; CBSE PMT 1999; JIPMER 2001, 02]

A mass of 2 kg is whirled in a horizontal circle by means of a string at an initial speed of 5 revolutions per minute. Keeping the radius constant the tension in the string is doubled. The new speed is nearly [MP PMT/PET 1998; JIPMER 2000]

A boy on a cycle pedals around a circle of 20 metres radius at a speed of \[20\,metres/\sec .\] The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that it may not fall is \[(g=9.8\,m/{{\sec }^{2}})\] [MP PMT 1995]

A body of mass \[m\] is moving in a circle of radius \[r\] with a constant speed \[v\]. The force on the body is \[\frac{m{{v}^{2}}}{r}\] and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle [NCERT 1977; RPET 1999]

The length of second's hand in a watch is 1 cm. The change in velocity of its tip in 15 seconds is [MP PMT 1987, 2003]

A car is moving on a circular path and takes a turn. If \[{{R}_{1}}\] and \[{{R}_{2}}\] be the reactions on the inner and outer wheels respectively, then [MH CET (Med.) 2001]

A train is moving towards north. At one place it turns towards north-east, here we observe that [AIIMS 1980]

The ratio of angular speeds of minute hand and hour hand of a watch is [MH CET 2002]

When a body moves with a constant speed along a circle [CBSE PMT 1994; Orissa PMT 2004]

Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is v0, then the ratio of tensions in the three sections of the string is [UPSEAT 2003]

A car of mass 800 kg moves on a circular track of radius 40 m. If the coefficient of friction is 0.5, then maximum velocity with which the car can move is [MH CET 2004]

The acceleration of a train travelling with speed of 400 m/s as it goes round a curve of radius 160 m, is [Pb. PET 2003]

If \[{{a}_{r}}\] and \[{{a}_{t}}\]represent radial and tangential accelerations, the motion of a particle will be uniformly circular if [CPMT 2004]

When a body moves in a circular path, no work is done by the force since, [KCET 2004]

A car moving on a horizontal road may be thrown out of the road in taking a turn [NCERT 1983]

An aeroplane flying 490 m above ground level at 100 m/s, releases a block. How far on ground will it strike

A ball is rolled off the edge of a horizontal table at a speed of 4 m/second. It hits the ground after 0.4 second. Which statement given below is true

An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is

A ball is projected with kinetic energy \[E\]at an angle of \[{{45}^{o}}\] to the horizontal. At the highest point during its flight, its kinetic energy will be

The horizontal range is four times the maximum height attained by a projectile. The angle of projection is

The greatest height to which a man can throw a stone is \[\sqrt{\frac{F}{m\,r}}\]. The greatest distance to which he can throw it, will be

Galileo writes that for angles of projection of a projectile at angles \[(45+\theta )\] and \[(45-\theta )\], the horizontal ranges described by the projectile are in the ratio of (if \[\theta \le 45)\]

A stone is projected from the ground with velocity \[25\,m/s\]. Two seconds later, it just clears a wall 5 m high. The angle of projection of the stone is \[(g=10m/{{\sec }^{2}})\]

A cricketer hits a ball with a velocity \[25\,\,m/s\] at \[{{60}^{o}}\] above the horizontal. How far above the ground it passes over a fielder 50 \[m\] from the bat (assume the ball is struck very close to the ground)

The range of a particle when launched at an angle of \[{{15}^{o}}\] with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of \[{{45}^{o}}\] to the horizontal

Referring to above question, the angle with the horizontal at which the projectile was projected is

The height \[y\] and the distance \[x\] along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by \[y=(8t-5{{t}^{2}})\] meter and \[x=6t\] meter, where \[t\] is in second. The velocity with which the projectile is projected is

An object is thrown along a direction inclined at an angle of \[{{45}^{o}}\] with the horizontal direction. The horizontal range of the particle is equal to

A projectile fired with initial velocity \[u\] at some angle \[\theta \] has a range \[R\]. If the initial velocity be doubled at the same angle of projection, then the range will be

A large number of bullets are fired in all directions with same speed \[v\]. What is the maximum area on the ground on which these bullets will spread

A bomber plane moves horizontally with a speed of 500 m/s and a bomb released from it, strikes the ground in 10 sec. Angle at which it strikes the ground will be \[(g=10\,\,m/{{s}^{2}})\]

A particle moves in a plane with constant acceleration in a direction different from the initial velocity. The path of the particle will be

A particle is dropped from a height and another particle is thrown in horizontal direction with speed of 5 m/sec from the same height. The correct statement is

An aeroplane moving horizontally with a speed of 720 km/h drops a food pocket, while flying at a height of 396.9 m. the time taken by a food pocket to reach the ground and its horizontal range is (Take \[g=\text{ }9.8m/se{{c}^{2}}\])

The velocity of projection of a body is increased by 2%. Other factors remaining unchanged, what will be the percentage change in the maximum height attained?

Two particles are projected simultaneously from the level ground as shown in figure. They may collide after a time:

A bomb is dropped on an enemy post by an aero plane flying horizontally with a velocity of \[60\text{ }km\text{ }{{h}^{-1}}\] and at a height of 490 m. At the time of dropping the bomb, how far the aero plane should be from the enemy post so that the bomb may directly hit the target?

If a particle is projected with speed u from ground at an angle with horizontal, then radius of curvature of a point where velocity vector is perpendicular to initial velocity vector is given by

A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone up to will be

If the angles of projection of a projectile with same initial velocity exceed or fall short of \[45{}^\circ \] by equal amounts , then the ratio of horizontal ranges is

\[\overrightarrow{a}=3\,\hat{i}-5\hat{j}\] and \[\overrightarrow{b}=6\,\hat{i}+3\,\hat{j}\] are two vectors and \[\overrightarrow{c}\] is a vector such that \[\overrightarrow{c}=\overrightarrow{a}\times \overrightarrow{b}\] then \[|\overrightarrow{a}|:|\overrightarrow{b}|:|\overrightarrow{c}|\]

The velocity of a projectile at the initial point A is \[\left( 2\widehat{i}\text{ }+\text{ }3\widehat{j} \right)\]m/s its velocity (in m/s) at point B is

A particle has an initial velocity \[3\hat{i}+\text{ }4\hat{j}\] and an acceleration of \[0.4\,\hat{i}+0.3\hat{j}\]. Its speed after 10 sec is

It is found that \[|A+B|\,=\,|A|\]. This necessarily implies,

A 1 kg stone at the end of 1 m long string is whirled in a vertical circle at constant speed of 4 m/sec. The tension in the string is 6 N, when the stone is at (g = 10 m/sec2) [AIIMS 1982]