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

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.

11251.

For a particle in circular motion the centripetal acceleration is

A. Less than its tangential acceleration
B. Equal to its tangential acceleration
C. More than its tangential acceleration
D. May be more or less than its tangential acceleration
Answer» E.
11252.

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. \[v=\frac{g}{R}\]
11253.

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.
11254.

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. \[1/\sqrt{2}\,\,m/s\]
11255.

A car is moving with speed 30 \[m/\sec \]on a circular path of radius 500 m. Its speed is increasing at the rate of \[2m/{{\sec }^{2}},\] What is the acceleration of the car [MP PMT 2003; Roorkee 1982; RPET 1996; MH CET 2002]

A. \[2m/{{\sec }^{2}}\]
B. \[2.7m/{{\sec }^{2}}\]
C. \[1.8m/{{\sec }^{2}}\]
D. \[9.8\,m/{{\sec }^{2}}\]
Answer» C. \[1.8m/{{\sec }^{2}}\]
11256.

A ship A sailing due east with a velocity of 10 km/h happens to appear sailing due north with a velocity of 5 km/h, to a person, sitting in a moving ship \[B\]. Determine the velocity (absolute) of ship \[B\].

A. \[5\sqrt{5}\,km/h,\,ta{{n}^{-1}}(1/2)\,S\,of\,E\]
B. \[5\sqrt{5}\,km/h,\,ta{{n}^{-1}}(1/2)\,E\,of\,S\]
C. \[4\sqrt{5}\,km/h,\,ta{{n}^{-1}}(1/2)\,S\,of\,E\]
D. \[4\sqrt{5}\,km/h,\,ta{{n}^{-1}}(1/2)\,E\,of\,S\]
Answer» B. \[5\sqrt{5}\,km/h,\,ta{{n}^{-1}}(1/2)\,E\,of\,S\]
11257.

An aircraft moving with a speed of 1000 km/h is at a height of 6000 m, just overhead of an anti-aircraft gun. If the muzzle velocity of the gun is 540 m/s, the firing angle \[\theta \] for the bullet to hit the aircraft should be

A. \[73{}^\circ \]
B. \[30{}^\circ \]
C. \[60{}^\circ \]
D. \[45{}^\circ \]
Answer» D. \[45{}^\circ \]
11258.

Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times. Reason : Range of projectile does not depend on the initial velocity of a body.

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.
Answer» D. If the assertion and reason both are false.
11259.

At a specific temperature, the energy densities for a black body for three different wavelengths are 10, 19 and 7 units. For these wavelengths if the absorption coefficient of a body is respectively 0.8, 0.3 and 0.9 then the emissive powers of this body for these wavelengths are in the ratio

A. 0.42994212962963
B. 0.335520833333333
C. 8 : 5.7 : 6.3
D. 8 : 9.5 : 4.3
Answer» D. 8 : 9.5 : 4.3
11260.

A rod of length I (laterally thermally insulated) of uniform cross-sectional area A consists of a material whose thermal conductivity varies with temperature as \[K=\frac{{{k}_{0}}}{a+bT},\] where, \[{{k}_{0}},\] a and b are constants. \[{{T}_{1}}\] and \[{{T}_{2}}(

A. \[\frac{A{{k}_{0}}}{bl}\left[ \frac{a+b{{T}_{1}}}{a+b{{T}_{2}}} \right]\]
B. \[\frac{A{{k}_{0}}}{bl}\left[ \frac{a+b{{T}_{2}}}{a+b{{T}_{1}}} \right]\]
C. \[\frac{A{{k}_{0}}}{bl}\ln \left[ \frac{a+b{{T}_{1}}}{a+b{{T}_{2}}} \right]\]
D. \[\frac{A{{k}_{0}}}{al}\ln \left[ \frac{a+b{{T}_{2}}}{a+b{{T}_{1}}} \right]\]
Answer» D. \[\frac{A{{k}_{0}}}{al}\ln \left[ \frac{a+b{{T}_{2}}}{a+b{{T}_{1}}} \right]\]
11261.

The emissivity and the surface area of filament of electric bulb are 0.7 and \[5\times {{10}^{-5}}{{m}^{2}}\]. The operating temperature of the filament is 3000 K. The power of the bulb is approximately \[[\sigma =5.67\times {{10}^{-8}}watt/{{m}^{2}}-{{K}^{4}}]\]

A. 230 W
B. 160 W
C. 9000 W
D. 4150 W
Answer» C. 9000 W
11262.

Water is being boiled in a flat bottom kettle placed on a stove. The area of the bottom is \[3000\text{ }c{{m}^{2}}\] and the thickness is 2 mm. If the amount of steam produced is 1 g/min. Calculate the difference of temperature between the inner and outer surface of the bottom. Thermal conductivity for the material of kettle is \[0.5\,cal/{{\,}^{o}}C/s/cm\] and the latent heat of steam is 540 cal/gm.

A. \[1.2\times {{10}^{-3}}{{\,}^{o}}C\]
B. \[2.4\times {{10}^{-3}}{{\,}^{o}}C\]
C. \[3.6\times {{10}^{-3}}{{\,}^{o}}C\]
D. \[4.8\times {{10}^{-3}}{{\,}^{o}}C\]
Answer» B. \[2.4\times {{10}^{-3}}{{\,}^{o}}C\]
11263.

Three discs A, B and C having radii 2 m, 4 m and 6 m respectively on coated with carbon black on their outer surfaces. The wavelength corresponding to maximum intensities are 300 nm, 400 nm and 500 nm respectively. The power radiated by them are \[{{Q}_{A}},\,{{Q}_{B}}\] and \[{{Q}_{C}}\] respectively

A. \[{{Q}_{A}}\] is maximum
B. \[{{Q}_{B}}\] is maximum
C. \[{{Q}_{C}}\] is maximum
D. \[{{Q}_{A}}={{Q}_{B}}={{Q}_{C}}\]
Answer» C. \[{{Q}_{C}}\] is maximum
11264.

A glass full of hot milk is poured on the table. It begins to cool gradually. Which of the following is incorrect?

A. The rate of cooling is constant still milk attains the temperature of the surrounding.
B. The temperature of milk falls off exponentially with time
C. While cooling, there is a flow of heat from milk to the surrounding as well as from surrounding to the milk but the net flow of heat is from milk to the surrounding and that is why it cools.
D. All three phenomenon, conduction, convection and radiation are responsible for the loss of heat from milk to the surroundings.
Answer» B. The temperature of milk falls off exponentially with time
11265.

A bucket full of hot water is kept in a room and it cools from \[75{}^\circ C\] to \[70{}^\circ C~\] in \[{{T}_{1}}\] minutes, from \[70{}^\circ C\] to \[65{}^\circ C\] in \[{{T}_{2}}\] minutes and from \[65{}^\circ C\] to \[60{}^\circ C~\] in \[{{T}_{3}}\] minutes. Then

A. \[{{T}_{1}}={{T}_{2}}={{T}_{3}}\]
B. \[{{T}_{1}}<{{T}_{2}}<{{T}_{3}}\]
C. \[{{T}_{1}}>{{T}_{2}}>{{T}_{3}}\]
D. \[{{T}_{1}}<{{T}_{3}}<{{T}_{2}}\]
Answer» C. \[{{T}_{1}}>{{T}_{2}}>{{T}_{3}}\]
11266.

An electric heater, assumed to be a black body has a temperature of \[727{}^\circ C\]. If its temperature is raised to \[1727{}^\circ C,\] the amount of energy radiated per unit time now as compared with that in the first case will be

A. twice
B. 4 times
C. 16 times
D. 100 times
Answer» D. 100 times
11267.

A sphere, a cube and a thin circular plate all made of the same material and having the same mass, are initially heated to a temperature of \[200{}^\circ C\]. Which of these objects will cool slowest when left in air at room temperature?

A. the sphere
B. the cube
C. the circular plate
D. all will cool at same rate
Answer» B. the cube
11268.

Twelve conducting rods form the riders of a uniform cube of side l. If in steady state, B and H ends of the rod are at \[100{}^\circ C\] and \[0{}^\circ C\]. Find the temperature of the junction A:

A. \[{{80}^{o}}C\]
B. \[{{60}^{o}}C\]
C. \[{{40}^{o}}C\]
D. \[{{70}^{o}}C\]
Answer» C. \[{{40}^{o}}C\]
11269.

One end of a conducting rod is maintained at temperature \[50{}^\circ C\] and at the other end, ice is melting at \[0{}^\circ C\]. The rate of melting of ice is doubled if:

A. the temperature is made \[200{}^\circ C\] and the area of cross-section of the rod is doubled
B. the temperature is made \[100{}^\circ C\] and length of rod is made four times
C. area of cross-section of rod is halved and length is doubled
D. the temperature is made \[100{}^\circ C\] and the area of cross-section of rod and length both are doubled
Answer» E.
11270.

A rod of length i and cross section area A has a variable thermal conductivity given by \[k=\alpha T,\] where a is a positive constant and T is temperature in kelvin. Two ends of the rod are maintained at temperatures \[{{T}_{1}}\] and \[{{T}_{2}}({{T}_{1}}>{{T}_{2}})\]. Heat current flowing through the rod will be

A. \[\frac{A\alpha (T_{1}^{2}-T_{2}^{2})}{\ell }\]
B. \[\frac{A\alpha (T_{1}^{2}+T_{2}^{2})}{\ell }\]
C. \[\frac{A\alpha (T_{1}^{2}+T_{2}^{2})}{3\ell }\]
D. \[\frac{A\alpha (T_{1}^{2}-T_{2}^{2})}{2\ell }\]
Answer» E.
11271.

Two different metal rods of equal lengths & equal cross section area have their ends kept at the same temperatures \[{{\theta }_{1}}\And {{\theta }_{2}}.\] If \[{{K}_{1}}\And {{K}_{2}}\] be the thermal conductivities of rod, \[{{\rho }_{1}}\And {{\rho }_{2}}\] are their densities and \[{{s}_{1}},{{s}_{2}}\] are their specific heats, then the rate of flow of heat in the two rods will be same if

A. \[\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{{{\rho }_{1}}{{s}_{1}}}{{{\rho }_{2}}{{s}_{2}}}\]
B. \[\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{{{\rho }_{1}}{{s}_{2}}}{{{\rho }_{2}}{{s}_{1}}}\]
C. \[\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{{{\theta }_{1}}}{{{\theta }_{2}}}\]
D. \[{{K}_{1}}={{K}_{2}}\]
Answer» E.
11272.

When a body cools by radiation, the rate of decrease of its temperature depends upon

A. Specific heat of the body
B. Mass of the body
C. Nature of the surface of the body
D. All of these
Answer» E.
11273.

The energy spectrum of a black body exhibits a maximum around a wavelength \[{{\lambda }_{0}}\]. The temperature of the black body is now changed such that the energy is maximum around a wavelength \[3{{\lambda }_{0}}/4\]. The power radiated by the black body will now increase by a factor of

A. 256/81
B. 64/27
C. 44455
D. 44259
Answer» B. 64/27
11274.

Direction: In the following questions, more than one of one answers given are correct. Select the correct answers and mark it according to the following codes: Two bodies A and B have thermal emissivities of 0.01 and 0.81 respectively. The outer surface areas of the two bodies are the some. The two bodies emit total radian power at the same rate. The wavelength \[{{\lambda }_{B}}\] corresponding to maximum spectral radiancy in the radiation from B is shifted from the wa9.-velength corresponding to maximum spectral radiancy in the radiation from A, by \[1.00\,\mu m\]. If the temperature of A is 5802 K (1) The temperature of B is 1934 K (2) \[{{\lambda }_{B}}=1.5\,\mu m\] (3) The temperature of B is 11604 K (4) The temperature of B is 2901 K Codes:

A. 1, 2 and 3 are correct
B. 1 and 2 are correct
C. 2 and 4 are correct
D. 1 and 3 are correct
Answer» C. 2 and 4 are correct
11275.

All the rods have same conductance K and same area of cross section A. If ends A and Care maintained at temperature 2Ty and T respectively then which of the following is/are correct:

A. Rate of heat flow through ABC, AOC and ADC is same
B. Rate of heat flow through BO and OD is not same
C. Total Rate of heat flow from A to C is \[\frac{{{P}_{o}}}{{{P}_{He}}}=\frac{1}{8}\]
D. Temperature at junctions B, O and D are same
Answer» E.
11276.

Two rods having thermal conductivities in the ratio of 5 : 3 having equal lengths and equal cross-sectional area are joined in series. If the temperature of the free end of the first rod is \[{{100}^{o}}C\] and free end of the second rod is \[{{20}^{o}}C\]. Then temperature of the junction is

A. \[~{{70}^{o}}C\]
B. \[~{{60}^{o}}C\]
C. \[{{50}^{o}}C\]
D. \[{{90}^{o}}C\]
Answer» B. \[~{{60}^{o}}C\]
11277.

Which of the following is the correct device for the detection of thermal radiation

A. Constant volume thermometer
B. Liquid-in-glass thermometer
C. Six's maximum and minimum thermometer
D. Thermopile
Answer» E.
11278.

The rate of loss of heat from a body cooling under conditions of forced convection is proportional to its [A] heat capacity [B] surface area [C] absolute temperature [D] excess of temperature over that of surrounding : state if

A. A, B, C are correct
B. Only A and C are correct
C. Only B and D are correct
D. Only D is correct
Answer» D. Only D is correct
11279.

Air is bad conductor of heat or partly conducts heat, still vacuum is to be placed between the walls of the thermos flask because

A. It is difficult to fill the air between the walls of thermos flask
B. Due to more pressure of air, the thermos can get crack
C. By convection, heat can flow through air
D. On filling the air, there is no advantage
Answer» D. On filling the air, there is no advantage
11280.

A wall has two layers A and B made of different materials. The thickness of both the layers is the same. The thermal conductivity of A and B are \[{{K}_{A}}\] and \[{{K}_{B}}\] such that \[{{K}_{A}}=3{{K}_{B}}\]. The temperature across the wall is \[20{}^\circ C\]. In thermal equilibrium

A. The temperature difference across \[A=15{}^\circ C\]
B. The temperature difference across \[A=5{}^\circ C\]
C. The temperature difference across A is \[10{}^\circ C\]
D. The rate of transfer of heat through A is more than that through B.
Answer» C. The temperature difference across A is \[10{}^\circ C\]
11281.

Two spheres of same material have radius 1m and 4 m and temperature 4000K and 2000K respectively. The energy radiated per second by the first sphere is

A. Greater than that by the second
B. Less than that by the second
C. Equal in both cases
D. The information is incomplete
Answer» D. The information is incomplete
11282.

Two black metallic spheres of radius 4m, at 2000 K and 1m at 4000 K will have ratio of energy radiation as

A. 0.0423611111111111
B. 0.167361111111111
C. 0.0444444444444444
D. 0.0840277777777778
Answer» B. 0.167361111111111
11283.

The radiant energy from the sun incident normally at the surface of earth is \[20\ kcal/{{m}^{2}}min\]What would have been the radiant energy incident normally on the earth, if the sun had a temperature twice of the present one

A. \[160\ kcal/{{m}^{2}}\ min\]
B. \[40\ kcal/{{m}^{2}}\ min\]
C. \[320\ kcal/{{m}^{2}}\ min\]
D. \[80\ kcal/{{m}^{2}}\ min\]
Answer» D. \[80\ kcal/{{m}^{2}}\ min\]
11284.

A black body radiates energy at the rate of \[E\] \[W\text{/}{{m}^{2}}\] at a high temperature TK. When the temperature is reduced to \[\frac{T}{2}K\], the radiant energy will be

A. \[\frac{E}{16}\]
B. \[\frac{E}{4}\]
C. \[4E\]
D. \[16E\]
Answer» B. \[\frac{E}{4}\]
11285.

The maximum wavelength of radiations emitted at 900 K is \[4\mu m\]. What will be the maximum wavelength of radiations emitted at 1200 K

A. \[3\mu m\]
B. \[0.3\mu m\]
C. \[1\mu m\]
D. \[1\,\,m\]
Answer» B. \[0.3\mu m\]
11286.

Two rods having thermal conductivity in the ratio of 5 : 3 having equal lengths and equal cross-sectional area are joined by face to face. If the temperature of the free end of the first rod is \[100{}^\circ C\] and free end of the second rod is \[{{20}^{o}}C\]. Then temperature of the junction is

A. \[70{}^\circ C\]
B. \[50{}^\circ C\]
C. \[50{}^\circ C\]
D. \[90{}^\circ C\]
Answer» B. \[50{}^\circ C\]
11287.

In order that the heat flows from one part of a solid to another part, what is required

A. Uniform density
B. Density gradient
C. Temperature gradient
D. Uniform temperature
Answer» D. Uniform temperature
11288.

The quantity of heat which crosses unit area of a metal plate during conduction depends upon

A. The density of the metal
B. The temperature gradient perpendicular to the area
C. The temperature to which the metal is heated
D. The area of the metal plate
Answer» C. The temperature to which the metal is heated
11289.

The dimensions of thermal resistance are

A. \[{{M}^{-1}}{{L}^{-2}}{{T}^{3}}K\]
B. \[M{{L}^{2}}{{T}^{-2}}{{K}^{-1}}\]
C. \[M{{L}^{2}}{{T}^{-3}}K\]
D. \[M{{L}^{2}}{{T}^{-2}}{{K}^{-2}}\]
Answer» B. \[M{{L}^{2}}{{T}^{-2}}{{K}^{-1}}\]
11290.

The length of the two rods made up of the same metal and having the same area of cross-section are 0.6 m and 0.8 m respectively. The temperature between the ends of first rod is \[{{90}^{o}}C\] and \[{{60}^{o}}C\]and that for the other rod is 150 and \[{{110}^{o}}C\]. For which rod the rate of conduction will be greater

A. First
B. Second
C. Same for both
D. None of the above
Answer» D. None of the above
11291.

Mode of transmission of heat, in which heat is carried by the moving particles, is

A. Radiation
B. Conduction
C. Convection
D. Wave motion
Answer» D. Wave motion
11292.

Which of the following circular rods. (given radius r and length l) each made of the same material as whose ends are maintained at the same temperature will conduct most heat

A. \[r=2{{r}_{0}};\ l=2{{l}_{0}}\]
B. \[r=2{{r}_{0}};\ l={{l}_{0}}\]
C. \[r={{r}_{0}};\ l={{l}_{0}}\]
D. \[r={{r}_{0}};\ l=2{{l}_{0}}\]
Answer» C. \[r={{r}_{0}};\ l={{l}_{0}}\]
11293.

The lengths and radii of two rods made of same material are in the ratios 1 : 2 and 2 : 3 respectively. If the temperature difference between the ends for the two rods be the same, then in the steady state, the amount of heat flowing per second through them will be in the ratio

A. 0.04375
B. 0.16875
C. 0.339583333333333
D. 0.126388888888889
Answer» D. 0.126388888888889
11294.

Two bars of thermal conductivities K and 3K and lengths \[1cm\] and \[2cm\] respectively have equal cross-sectional area, they are joined lengths wise as shown in the figure. If the temperature at the ends of this composite bar is \[{{0}^{o}}C\] and \[{{K}^{2}}/l\] respectively (see figure), then the temperature \[\varphi \]of the interface is

A. \[{{50}^{o}}C\]
B. \[\frac{100}{3}{{\ }^{o}}C\]
C. \[{{60}^{o}}C\]
D. \[\frac{200}{3}{{\ }^{o}}C\]
Answer» D. \[\frac{200}{3}{{\ }^{o}}C\]
11295.

Two identical plates of different metals are joined to form a single plate whose thickness is double the thickness of each plate. If the coefficients of conductivity of each plate are 2 and 3 respectively, then the conductivity of composite plate will be

A. 5
B. 2.4
C. 1.5
D. 1.2
Answer» C. 1.5
11296.

The ratio of radiant energies radiated per unit surface area by two bodies is 16 : 1, the temperature of hotter body is 1000K, then the temperature of colder body will be

A. 250 K
B. 500 K
C. 1000 K
D. 62.5 K
Answer» C. 1000 K
11297.

A black body radiates energy at the rate of \[1\times {{10}^{5}}J/s\times {{m}^{2}}\] at temperature of \[227{}^\circ C\]. The temperature to which it must be heated so that it radiates energy at rate of \[1\times {{10}^{9}}J\text{/}s{{m}^{2}}\], is

A. 5000 K
B. 5000\[{}^\circ C\]
C. 500 K
D. 500\[{}^\circ C\]
Answer» B. 5000\[{}^\circ C\]
11298.

Two spheres made of same material have radii in the ratio 1: 2 Both are at same temperature. Ratio of heat radiation energy emitted per second by them is

A. 0.0430555555555556
B. 0.0472222222222222
C. 0.0444444444444444
D. 0.0527777777777778
Answer» D. 0.0527777777777778
11299.

If the temperature of the sun (black body) is doubled, the rate of energy received on earth will be increased by a factor of

A. 2
B. 4
C. 8
D. 16
Answer» E.
11300.

The temperatures of two bodies A and B are \[{{727}^{o}}C\] and \[{{127}^{o}}C\]. The ratio of rate of emission of radiations will be

A. 727/127
B. 625/16
C. 1000/400
D. 100/16
Answer» C. 1000/400