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MCQOPTIONS
This section includes 12583 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.
| 8551. |
A small coil C with N = 200 turns is mounted on one end of a balance beam and introduced between the poles of an electromagnet as shown in figure. The cross sectional area of coil is A= 1.0 cm2, length of arm OA of the balance beam is \[l=30\,cm.\] When there is no current in the coil the balance is in equilibrium. On passing a current I = 22 mA through the coil the equilibrium is restored by putting the additional counter weight of mass \[\Delta m=60\,mg\] on the balance pan. Find the magnetic induction at the spot where coil is located. |
| A. | 0.4 T |
| B. | 0.3 T |
| C. | 0.2 T |
| D. | 0.1 T |
| Answer» B. 0.3 T | |
| 8552. |
The three resistance of equal value are arranged in the different combinations shown below. Arrange them in increasing order of power dissipation [IIT-JEE (Screening) 2003] I. II. III. IV. |
| A. | III < II < IV < I |
| B. | II < III < IV < I |
| C. | I < IV < III < II |
| D. | I < III < II < IV |
| Answer» B. II < III < IV < I | |
| 8553. |
A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular limits \[-\varphi \] and\[+\varphi \]. For an angular displacement\[\theta (|\theta | |
| A. | \[T\cos \theta =Mg\] |
| B. | \[T-Mg\cos \theta =\frac{M{{v}^{2}}}{L}\] |
| C. | The magnitude of the tangential acceleration of the bob \[|{{a}_{T}}|\,=g\sin \theta \] |
| D. | \[T=Mg\cos \theta \] |
| Answer» C. The magnitude of the tangential acceleration of the bob \[|{{a}_{T}}|\,=g\sin \theta \] | |
| 8554. |
A solid cube and a solid sphere of the same material have equal surface area. Both are at the same temperature \[{{120}^{o}}C\], then [MP PET 1992, 96; MP PMT 2000] |
| A. | Both the cube and the sphere cool down at the same rate |
| B. | The cube cools down faster than the sphere |
| C. | The sphere cools down faster than the cube |
| D. | Whichever is having more mass will cool down faster |
| Answer» C. The sphere cools down faster than the cube | |
| 8555. |
The volume of air increases by 5% in its adiabatic expansion. The percentage decrease in its pressure will be |
| A. | 5% |
| B. | 6% |
| C. | 7% |
| D. | 8% |
| Answer» D. 8% | |
| 8556. |
Steam at 100ºC is passed into 1.1 kg of water contained in a calorimeter of water equivalent 0.02 kg at 15ºC till the temperature of the calorimeter and its contents rises to 80ºC. The mass of the steam condensed in kg is [IIT 1995] |
| A. | 0.130 |
| B. | 0.065 |
| C. | 0.260 |
| D. | 0.135 |
| Answer» B. 0.065 | |
| 8557. |
A vessel of area of cross-section A has liquid to a height H. There is a hole at the bottom of vessel having area of cross-section a. The time taken to decrease the level from \[{{H}_{1}}\] to \[{{H}_{2}}\] will be |
| A. | \[\frac{A}{a}\sqrt{\frac{2}{g}}[\sqrt{{{H}_{1}}}-\sqrt{{{H}_{2}}}]\] |
| B. | \[\sqrt{2gh}\] |
| C. | \[\sqrt{2gh\,({{H}_{1}}-{{H}_{2}})}\] |
| D. | \[\frac{A}{a}\sqrt{\frac{g}{2}}[\sqrt{{{H}_{1}}}-\sqrt{{{H}_{2}}}]\] |
| Answer» B. \[\sqrt{2gh}\] | |
| 8558. |
A non-conducting ring of radius \[0.5\,m\] carries a total charge of \[1.11\times {{10}^{-10}}C\] distributed non-uniformly on its circumference producing an electric field \[\vec{E}\] everywhere in space. The value of the line integral \[\int_{l=\infty }^{l=0}{\,-\overrightarrow{E}.\overrightarrow{dl}}\,(l=0\] being centre of the ring) in volt is [IIT 1997 Cancelled] |
| A. | + 2 |
| B. | ? 1 |
| C. | ? 2 |
| D. | Zero |
| Answer» B. ? 1 | |
| 8559. |
A solid sphere of uniform density and radius 4 units is located with its centre at the origin O of coordinates. Two spheres of equal radii 1 unit with their centres at A(? 2, 0, 0) and B(2, 0, 0) respectively are taken out of the solid leaving behind spherical cavities as shown in figure [IIT 1993] |
| A. | The gravitational force due to this object at the origin is zero |
| B. | The gravitational force at the point B (2, 0, 0) is zero |
| C. | The gravitational potential is the same at all points of the circle \[{{y}^{2}}+{{z}^{2}}=36\] |
| D. | The gravitational potential is the same at all points on the circle \[{{y}^{2}}+{{z}^{2}}=4\] |
| Answer» B. The gravitational force at the point B (2, 0, 0) is zero | |
| 8560. |
A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to [IIT 1984; BHU 1984, 95; MP PET 1996; JIPMER 2000; AMU (Med.) 1999] |
| A. | \[{{t}^{1/2}}\] |
| B. | \[{{t}^{3/4}}\] |
| C. | \[{{t}^{3/2}}\] |
| D. | \[{{t}^{2}}\] |
| Answer» D. \[{{t}^{2}}\] | |
| 8561. |
A stone tied to a string of length \[L\] is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time, the stone is at its lowest position and has a speed \[u\]. The magnitude of the change in its velocity as it reaches a position where the string is horizontal is [IIT 1998; CBSE PMT 2004] |
| A. | \[\sqrt{{{u}^{2}}-2gL}\] |
| B. | \[\sqrt{2gL}\] |
| C. | \[\sqrt{{{u}^{2}}-gl}\] |
| D. | \[\sqrt{2({{u}^{2}}-gL)}\] |
| Answer» E. | |
| 8562. |
Column I Column II (i) Curie \[ML{{T}^{-2}}\] (ii) Light year \[M\] (iii) Dielectric strength Dimensionless (iv) Atomic weight \[T\] (v) Decibel \[M{{L}^{2}}{{T}^{-2}}\] (F) \[M{{T}^{-3}}\] (G) \[{{T}^{-1}}\] (H) \[L\] (I) \[ML{{T}^{-3}}{{I}^{-1}}\] (J) \[L{{T}^{-1}}\] Choose the correct match [IIT 1992] |
| A. | (i) G, (ii) H, (iii) C, (iv) B, (v) C |
| B. | (i) D, (ii) H, (iii) I, (iv) B, (v) G |
| C. | (i) G, (ii) H, (iii) I, (iv) B, (v) G |
| D. | None of the above |
| Answer» B. (i) D, (ii) H, (iii) I, (iv) B, (v) G | |
| 8563. |
The time period of rotation of the sun is 25 days and its radius is\[7\times {{10}^{8}}m\]. The Doppler shift for the light of wavelength\[6000\,\,{AA}\]emitted from the surface of the sun will be [MP PMT 1994] |
| A. | \[0.04\,\,{AA}\] |
| B. | \[0.40\,\,{AA}\] |
| C. | \[4.00\,\,{AA}\] |
| D. | \[40.0\,\,{AA}\] |
| Answer» B. \[0.40\,\,{AA}\] | |
| 8564. |
An air bubble in sphere having 4 cm diameter appears 1 cm from surface nearest to eye when looked along diameter. If amg = 1.5, the distance of bubble from refracting surface is [CPMT 2002] |
| A. | 1.2 cm |
| B. | 3.2 cm |
| C. | 2.8 cm |
| D. | 1.6 cm |
| Answer» B. 3.2 cm | |
| 8565. |
In semiconductor the concentrations of electrons and holes are 8 ´ 1018/m3 and 5 ´ 1018/m respectively. If the mobilities of electrons and hole are 2.3 m2/volt-sec and 0.01 m2/volt-sec respectively, then semiconductor is |
| A. | N-type and its resistivity is 0.34 ohm-metre |
| B. | P-type and its resistivity is 0.034 ohm-metre |
| C. | N-type and its resistivity is 0.034 ohm-metre |
| D. | P-type and its resistivity is 3.40 ohm-metre |
| Answer» B. P-type and its resistivity is 0.034 ohm-metre | |
| 8566. |
An amplitude modulated wave is modulated to 50%. What is the saving in power if carrier as well as one of the side bands are suppressed |
| A. | 70% |
| B. | 65.4% |
| C. | 94.4% |
| D. | 25.5% |
| Answer» D. 25.5% | |
| 8567. |
Light from a hydrogen discharge tube is incident on the cathode of a photoelectric cell the work function of the cathode surface is 4.2 eV. In order to reduce the photo-current to zero the voltage of the anode relative to the cathode must be made [DCE 2002] |
| A. | ? 4.2 V |
| B. | ? 9.4 V |
| C. | ? 17.8 V |
| D. | +9.4 V |
| Answer» C. ? 17.8 V | |
| 8568. |
A wire of length 1 m is moving at a speed of 2ms?1 perpendicular to its length and a homogeneous magnetic field of 0.5 T. The ends of the wire are joined to a circuit of resistance 6 W. The rate at which work is being done to keep the wire moving at constant speed is [Roorkee 1999] |
| A. | \[\frac{1}{12}W\] |
| B. | \[\frac{1}{6}W\] |
| C. | \[\frac{1}{3}W\] |
| D. | 1W |
| Answer» C. \[\frac{1}{3}W\] | |
| 8569. |
An ionized gas contains both positive and negative ions. If it is subjected simultaneously to an electric field along the +x direction and a magnetic field along the +z direction, then [IIT-JEE (Screening) 2000] |
| A. | Positive ions deflect towards +y direction and negative ions towards ?y direction |
| B. | All ions deflect towards +y direction |
| C. | All ions deflect towards ?y direction |
| D. | Positive ions deflect towards ?y direction and negative ions towards +y direction |
| Answer» D. Positive ions deflect towards ?y direction and negative ions towards +y direction | |
| 8570. |
A 100 W bulb B1, and two 60-W bulbs B2 and B3, are connected to a 250 V source, as shown in the figure. Now W1, W2 and W3 are the output powers of the bulbs B1, B2 and B3, respectively. Then [IIT-JEE (Screening) 2002] |
| A. | \[{{W}_{1}}>{{W}_{2}}={{W}_{3}}\] |
| B. | \[{{W}_{1}}>{{W}_{2}}>{{W}_{3}}\] |
| C. | \[{{W}_{1}}<{{W}_{2}}={{W}_{3}}\] |
| D. | \[{{W}_{1}}<{{W}_{2}}<{{W}_{3}}\] |
| Answer» E. | |
| 8571. |
Two whistles A and B produces notes of frequencies 660 Hz and 596 Hz respectively. There is a listener at the mid-point of the line joining them. Now the whistle B and the listener start moving with speed 30 m/s away from the whistle A. If speed of sound be 330 m/s, how many beats will be heard by the listener [RPET 1996] |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» C. 6 | |
| 8572. |
Two identical conducting rods are first connected independently to two vessels, one containing water at 100o C and the other containing ice at 0oC. In the second case, the rods are joined end to end and connected to the same vessels. Let q1 and q2 g / s be the rate of melting of ice in two cases respectively. The ratio of \[{{q}_{1}}/{{q}_{2}}\] is [IIT-JEE (Screening) 2004] |
| A. | \[\frac{1}{2}\] |
| B. | \[\frac{2}{1}\] |
| C. | \[\frac{4}{1}\] |
| D. | \[\frac{1}{4}\] |
| Answer» D. \[\frac{1}{4}\] | |
| 8573. |
An insulator container contains 4 moles of an ideal diatomic gas at temperature T. Heat Q is supplied to this gas, due to which 2 moles of the gas are dissociated into atoms but temperature of the gas remains constant. Then |
| A. | \[Q=2RT\] |
| B. | \[Q=RT\] |
| C. | \[Q=3RT\] |
| D. | \[Q=4RT\] |
| Answer» C. \[Q=3RT\] | |
| 8574. |
A substance of mass m kg requires a power input of P watts to remain in the molten state at its melting point. When the power is turned off, the sample completely solidifies in time t sec. What is the latent heat of fusion of the substance [IIT JEE 1992] |
| A. | \[\frac{Pm}{t}\] |
| B. | \[\frac{Pt}{m}\] |
| C. | \[\frac{m}{Pt}\] |
| D. | \[\frac{t}{Pm}\] |
| Answer» C. \[\frac{m}{Pt}\] | |
| 8575. |
Two wires of resistance R1 and R2 have temperature coefficient of resistance \[{{\alpha }_{1}}\text{ and }{{\alpha }_{2}}\], respectively. These are joined in series. The effective temperature coefficient of resistance is [MP PET 2003] |
| A. | \[\frac{{{\alpha }_{1}}+{{\alpha }_{2}}}{2}\] |
| B. | \[\sqrt{{{\alpha }_{1}}{{\alpha }_{2}}}\] |
| C. | \[\frac{{{\alpha }_{1}}{{R}_{1}}+{{\alpha }_{2}}{{R}_{2}}}{{{R}_{1}}+{{R}_{2}}}\] |
| D. | \[\frac{\sqrt{{{R}_{1}}{{R}_{2}}{{\alpha }_{1}}{{\alpha }_{2}}}}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\] |
| Answer» D. \[\frac{\sqrt{{{R}_{1}}{{R}_{2}}{{\alpha }_{1}}{{\alpha }_{2}}}}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\] | |
| 8576. |
The speed of a boat is 5 km/h in still water. It crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water is [IIT 1988; CBSE PMT 1998, 2000] |
| A. | 1 km/h |
| B. | 3 km/h |
| C. | 4 km/h |
| D. | 5 km/h |
| Answer» C. 4 km/h | |
| 8577. |
A non-conducting solid sphere of radius \[R\] is uniformly charged. The magnitude of the electric field due to the sphere at a distance \[r\] from its centre [IIT-JEE 1998; DPMT 2000] |
| A. | Increases as \[r\] increases for \[r<R\] |
| B. | Decreases as \[r\] increases for \[0<r<\infty \] |
| C. | Decreases as \[r\] increases for \[R<r<\infty \] |
| D. | Is discontinuous at \[r=R\] |
| Answer» 1 , 3. Decreases as \[r\] increases for \[0<r<\infty \] | |
| 8578. |
A rocket of mass M is launched vertically from the surface of the earth with an initial speed V. Assuming the radius of the earth to be R and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is [AMU 1995] |
| A. | \[R/\left( \frac{gR}{2{{V}^{2}}}-1 \right)\] |
| B. | \[R\,\left( \frac{gR}{2{{V}^{2}}}-1 \right)\] |
| C. | \[R/\left( \frac{2gR}{{{V}^{2}}}-1 \right)\] |
| D. | \[R\left( \frac{2gR}{{{V}^{2}}}-1 \right)\] |
| Answer» D. \[R\left( \frac{2gR}{{{V}^{2}}}-1 \right)\] | |
| 8579. |
Consider the following two statements 1. Linear momentum of a system of particles is zero 2. Kinetic energy of a system of particles is zero Then [AIEEE 2003] |
| A. | 1 implies 2 and 2 implies 1 |
| B. | 1 does not imply 2 and 2 does not imply 1 |
| C. | 1 implies 2 but 2 does not imply 1 |
| D. | 1 does not imply 2 but 2 implies 1 |
| Answer» E. | |
| 8580. |
A solid disc rolls clockwise without slipping over a horizontal path with a constant speed \[\upsilon \]. Then the magnitude of the velocities of points A, B and C (see figure) with respect to a standing observer are respectively [UPSEAT 2002] |
| A. | \[\upsilon ,\,\upsilon \text{ and }\upsilon \] |
| B. | \[2\upsilon ,\,\sqrt{2}\upsilon \text{ and}\,\text{zero}\] |
| C. | \[2\upsilon ,\,2\upsilon \text{ and}\,\text{zero}\] |
| D. | \[2\upsilon ,\,\sqrt{2}\upsilon \text{ and}\,\sqrt{2}\upsilon \] |
| Answer» C. \[2\upsilon ,\,2\upsilon \text{ and}\,\text{zero}\] | |
| 8581. |
The frequency of vibration of string is given by \[\nu =\frac{p}{2l}{{\left[ \frac{F}{m} \right]}^{1/2}}\]. Here p is number of segments in the string and l is the length. The dimensional formula for m will be [BHU 2004] |
| A. | \[[{{M}^{0}}L{{T}^{-1}}]\] |
| B. | \[[M{{L}^{0}}{{T}^{-1}}]\] |
| C. | \[[M{{L}^{-1}}{{T}^{0}}]\] |
| D. | \[[{{M}^{0}}{{L}^{0}}{{T}^{0}}]\] |
| Answer» D. \[[{{M}^{0}}{{L}^{0}}{{T}^{0}}]\] | |
| 8582. |
In the ideal double-slit experiment, when a glass-plate (refractive index 1.5) of thickness t is introduced in the path of one of the interfering beams (wavelength l), the intensity at the position where the central maximum occurred previously remains unchanged. The minimum thickness of the glass-plate is [IIT-JEE (Screening) 2002] |
| A. | 2l |
| B. | \[\frac{2\lambda }{3}\] |
| C. | \[\frac{\lambda }{3}\] |
| D. | l |
| Answer» B. \[\frac{2\lambda }{3}\] | |
| 8583. |
A concave mirror is placed at the bottom of an empty tank with face upwards and axis vertical. When sunlight falls normally on the mirror, it is focussed at distance of 32 cm from the mirror. If the tank filled with water \[\left( \mu =\frac{4}{3} \right)\] upto a height of 20 cm, then the sunlight will now get focussed at [UPSEAT 2002] |
| A. | 16 cm above water level |
| B. | 9 cm above water level |
| C. | 24 cm below water level |
| D. | 9 cm below water level |
| Answer» C. 24 cm below water level | |
| 8584. |
A diverging beam of light from a point source S having divergence angle a, falls symmetrically on a glass slab as shown. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is t and the refractive index n, then the divergence angle of the emergent beam is [IIT-JEE (Screening) 2000] |
| A. | Zero |
| B. | a |
| C. | \[{{\sin }^{-1}}(1/n)\] |
| D. | \[2{{\sin }^{-1}}(1/n)\] |
| Answer» C. \[{{\sin }^{-1}}(1/n)\] | |
| 8585. |
In the following common emitter configuration an NPN transistor with current gain b = 100 is used. The output voltage of the amplifier will be [AIIMS 2003] |
| A. | 10 mV |
| B. | 0.1 V |
| C. | 1.0 V |
| D. | 10 V |
| Answer» D. 10 V | |
| 8586. |
What is the radius of iodine atom (at. no. 53, mass number 126) [CBSE PMT 1993] |
| A. | \[2.5\times {{10}^{-11}}m\] |
| B. | \[2.5\times {{10}^{-9}}m\] |
| C. | \[7\times {{10}^{-9}}m\] |
| D. | \[7\times {{10}^{-6}}m\] |
| Answer» B. \[2.5\times {{10}^{-9}}m\] | |
| 8587. |
Photoelectric emission is observed from a metallic surface for frequencies \[{{\nu }_{1}}\] and \[{{\nu }_{2}}\] of the incident light rays \[({{\nu }_{1}}>{{\nu }_{2}})\]. If the maximum values of kinetic energy of the photoelectrons emitted in the two cases are in the ratio of \[1:k\], then the threshold frequency of the metallic surface is [EAMCET (Engg.) 2001] |
| A. | \[\frac{{{\nu }_{1}}-{{\nu }_{2}}}{k-1}\] |
| B. | \[\frac{k{{\nu }_{1}}-{{\nu }_{2}}}{k-1}\] |
| C. | \[\frac{k{{\nu }_{2}}-{{\nu }_{1}}}{k-1}\] |
| D. | \[\frac{{{\nu }_{2}}-{{\nu }_{1}}}{k}\] |
| Answer» C. \[\frac{k{{\nu }_{2}}-{{\nu }_{1}}}{k-1}\] | |
| 8588. |
In the circuit shown in the figure, the ac source gives a voltage \[V=20\cos (2000\,t).\] Neglecting source resistance, the voltmeter and ammeter reading will be [KCET (Engg.) 2002] |
| A. | 0V, 0.47A |
| B. | 1.68V, 0.47A |
| C. | 0V, 1.4 A |
| D. | 5.6V, 1.4 A |
| Answer» E. | |
| 8589. |
A small square loop of wire of side l is placed inside a large square loop of wire of side L (L > l). The loop are coplanar and their centre coincide. The mutual inductance of the system is proportional to [IIT JEE 1998] |
| A. | l / L |
| B. | \[{{l}^{2}}/L\] |
| C. | \[L/l\] |
| D. | \[{{L}^{2}}/l\] |
| Answer» C. \[L/l\] | |
| 8590. |
Two magnets A and B are identical and these are arranged as shown in the figure. Their length is negligible in comparison to the separation between them. A magnetic needle is placed between the magnets at point P which gets deflected through an angle \[\theta \] under the influence of magnets. The ratio of distance \[{{d}_{1}}\] and \[{{d}_{2}}\] will be |
| A. | \[{{(2\tan \theta )}^{1/3}}\] |
| B. | \[{{(2\tan \theta )}^{-1/3}}\] |
| C. | \[{{(2\cot \theta )}^{1/3}}\] |
| D. | \[{{(2\cot \theta )}^{-1/3}}\] |
| Answer» D. \[{{(2\cot \theta )}^{-1/3}}\] | |
| 8591. |
\[{{H}^{+}},\,H{{e}^{+}}\] and \[{{O}^{++}}\] ions having same kinetic energy pass through a region of space filled with uniform magnetic field B directed perpendicular to the velocity of ions. The masses of the ions \[{{H}^{+}},\,H{{e}^{+}}\]and \[{{O}^{++}}\] are respectively in the ratio \[1:4:16\]. As a result |
| A. | \[{{H}^{+}}\] ions will be deflected most |
| B. | \[{{O}^{++}}\] ions will be deflected least |
| C. | \[H{{e}^{+}}\] and \[{{O}^{++}}\] ions will suffer same deflection |
| D. | All ions will suffer the same deflection |
| Answer» D. All ions will suffer the same deflection | |
| 8592. |
Four identical electrical lamps are labelled 1.5V, 0.5A which describes the condition necessary for them to operate at normal brightness. A 12V battery of negligible internal resistance is connected to lamps as shown, then [UPSEAT 2001] |
| A. | The value of R for normal brightness of each lamp is (3/4) W |
| B. | The value of R for normal brightness of each lamp is (21/4) W |
| C. | Total power dissipated in circuit when all lamps are normally bright is 24W |
| D. | Power dissipated in R is 21W when all lamps are normally bright |
| Answer» C. Total power dissipated in circuit when all lamps are normally bright is 24W | |
| 8593. |
A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is \[3.92\times {{10}^{-3}}m\]. What must be the least period of these oscillations, so that the object is not detached from the platform [AIIMS 1999] |
| A. | 0.1256 sec |
| B. | 0.1356 sec |
| C. | 0.1456 sec |
| D. | 0.1556 sec |
| Answer» B. 0.1356 sec | |
| 8594. |
Three rods of the same dimension have thermal conductivities 3K, 2K and K. They are arranged as shown in fig. Given below, with their ends at 100oC, 50oC and 20oC. The temperature of their junction is [UPSEAT 2002] |
| A. | \[{{60}^{o}}\]C |
| B. | \[{{70}^{o}}\] C |
| C. | 50o C |
| D. | 35o C |
| Answer» C. 50o C | |
| 8595. |
The molar heat capacity in a process of a diatomic gas if it does a work of \[\frac{Q}{4}\]when a heat of Q is supplied to it is |
| A. | \[\frac{2}{5}R\] |
| B. | \[\frac{5}{2}R\] |
| C. | \[\frac{10}{3}R\] |
| D. | \[\frac{6}{7}R\] |
| Answer» D. \[\frac{6}{7}R\] | |
| 8596. |
It is known that wax contracts on solidification. If molten wax is taken in a large vessel and it is allowed to cool slowly, then [CBSE PMT 1994] |
| A. | It will start solidifying from the top downward |
| B. | It will start solidifying from the bottom upward |
| C. | It will start solidifying from the middle, upward and downward at equal rates |
| D. | The whole mass will solidify simultaneously |
| Answer» C. It will start solidifying from the middle, upward and downward at equal rates | |
| 8597. |
A uniform rod of density \[\rho \] is placed in a wide tank containing a liquid of density \[{{\rho }_{0}}({{\rho }_{0}}>\rho )\]. The depth of liquid in the tank is half the length of the rod. The rod is in equilibrium, with its lower end resting on the bottom of the tank. In this position the rod makes an angle \[\theta \] with the horizontal |
| A. | \[\sin \theta =\frac{1}{2}\sqrt{{{\rho }_{0}}/\rho }\] |
| B. | \[\sin \theta =\frac{1}{2}\,.\,\frac{{{\rho }_{0}}}{\rho }\] |
| C. | \[\sin \theta =\sqrt{\rho /{{\rho }_{0}}}\] |
| D. | \[\sin \theta ={{\rho }_{0}}/\rho \] |
| Answer» B. \[\sin \theta =\frac{1}{2}\,.\,\frac{{{\rho }_{0}}}{\rho }\] | |
| 8598. |
If in the circuit shown below, the internal resistance of the battery is 1.5 W and VP and VQ are the potentials at P and Q respectively, what is the potential difference between the points P and Q [MP PET 2000] |
| A. | Zero |
| B. | 4 volts (VP > VQ) |
| C. | 4 volts (VQ > VP) |
| D. | 2.5 volts (VQ > VP) |
| Answer» E. | |
| 8599. |
A metal sphere is hung by a string fixed to a wall. The sphere is pushed away from the wall by a stick. The forces acting on the sphere are shown in the second diagram. Which of the following statements is wrong |
| A. | \[P=W\,\tan \theta \] |
| B. | \[\overrightarrow{T}+\overrightarrow{P}+\overrightarrow{W}=0\] |
| C. | \[{{T}^{2}}={{P}^{2}}+{{W}^{2}}\] |
| D. | \[T=P+W\] |
| Answer» E. | |
| 8600. |
An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy \[{{E}_{0}}\]. Its potential energy is [IIT 1997 Cancelled; MH CET 2002; MP PMT 2000] |
| A. | \[-{{E}_{0}}\] |
| B. | \[1.5\,{{E}_{0}}\] |
| C. | \[2\,{{E}_{0}}\] |
| D. | \[{{E}_{0}}\] |
| Answer» D. \[{{E}_{0}}\] | |