Physics-JEE Main Previous Year Questions

/20

This Quiz Contains a set of 10 Math Questions.

The Passing Cut-off is 60%.

To start the Quiz, click on the Start Button.

All the Best!

1 / 20

As shown in the diagram, when the incident ray is parallel to the base of the prism, the emergent ray grazes along the second surface. If the refractive index of the material of the prism is √2, the angle θ of the prism is:

60°

90°

75°

45°

2 / 20

A body of mass 2 kg is moving along the x-direction such that its displacement as function of time is given by x(t) = αt² + βt + γm, where α = 1 m/s², β = 1 m/s, and γ = 1m. The work done on the body during the time interval t = 2 s to t = 3 s, is ______ J.

3 / 20

A large drum with radius R is spinning about its axis with angular velocity ω, as shown in the figure. The minimum value of ω so that a body of mass M remains stuck to the inner wall of the drum, given that the coefficient of friction between the drum surface and mass M is μ, is :

\sqrt{\frac{μ g}{R}}

\sqrt{\frac{2 g}{μ R}}

\sqrt{\frac{g}{2 μ R}}

\sqrt{\frac{g}{μ R}}

4 / 20

An infinitely long straight wire carrying current I is bent in a planer shape as shown in the diagram. The radius of the circular part is r. The magnetic field at the centre O of the circular loop is:

\frac{μ_{0} I}{2 πr} (π + 1) \hat{i}

- \frac{μ_{0} I}{2 πr} (π - 1) \hat{i}

\frac{μ_{0} I}{2 πr} (π - 1) \hat{i}

- \frac{μ_{0} I}{2 πr} (π + 1) \hat{i}

5 / 20

The energy of an electron in an orbit of the Bohr's atom is -0.04 E₀eV where E₀ is the ground state energy. If 'L' is the angular momentum of the electron in this orbit and h is the Planck's constant, then 2πL/h is __________ :

6 / 20

Two known resistances of R Ω and 2R Ω and one unknown resistance X Ω are connected in a circuit as shown in the figure. If the equivalent resistance between points A and B in the circuit is X Ω, then the value of X is _______ Ω.

(√3-1)R

2(√3-1)R

(√3+1)R

7 / 20

A river of width 200 m is flowing from west to east with a speed of 18 km/h. A boat, moving with speed of 36 km/h in still water, is made to travel one-round trip (bank to bank of the river). The minimum time taken by the boat for this journey and also the displacement along the river bank are _ and __ respectively.

20 s and 100 m

40 s and 0 m

40 s and 200 m

40 s and 100 m

8 / 20

Surface tension of two liquids (having the same densities), T₁ and T₂, are measured using the capillary rise method utilizing two tubes with inner radii of r₁ and r₂, where r₁ > r₂. The measured liquid heights in these tubes are h₁ and h₂, respectively. [Ignore the weight of the liquid about the lowest point of meniscus]. The heights h₁ and h₂, and surface tensions T₁ and T₂ satisfy the relation :

h₁ < h₂ and T₁ = T₂

h₁ = h₂ and T₁ = T₂

h₁ > h₂ and T₁ = T₂

h₁ > h₂ and T₁ < T₂

9 / 20

A spherical body of radius r and density σ falls freely through a viscous liquid having density ρ and viscosity η and attains a terminal velocity v₀. Estimated maximum error in the quantity η is :
(Ignore errors associated with σ, ρ, and g, gravitational acceleration)

2 \frac{∆ r}{r} - \frac{∆ v_{0}}{v_{0}}

2 \frac{∆ r}{r} + \frac{∆ v_{0}}{v_{0}}

2 [\frac{∆ r}{r} + \frac{∆ v_{0}}{v_{0}}]

2 [\frac{∆ r}{r} - \frac{∆ v_{0}}{v_{0}}]

10 / 20

Keeping the significant figures in view, the sum of the physical quantities 52.01m, 153.2 m, and 0.123 m is:

205 m

205.333 m

205.33 m

205.3 m

11 / 20

A battery with EMF E and internal resistance r is connected across a resistance R. The power consumption in R will be maximum when:

R = 2r

R = r/2

R = r√2

R = r

12 / 20

Given below are two statements:
Statement I : In a Young's double slit experiment, the angular separation of fringes will increase as the screen is moved away from the plane of the slits.
Statement II : In a Young's double slit experiment, the angular separation of fringes will increase when monochromatic source is replaced by another monochromatic source of higher wavelength.
In the light of the above statements, choose the correct answer from the options given below:

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is false but Statement II is true

Statement I is true but Statement II is false

13 / 20

The kinetic energy of a simple harmonic oscillator is oscillating with an angular frequency of 176 rad/s. The frequency of this simple harmonic oscillator is ______ Hz. (Take π = 22/7)

176

14 / 20

The pulley shown in the figure is made using a thin rim and two rods of a length equal to the diameter of the rim. The rim and each rod have a mass of M. Two blocks of mass M and m are attached to two ends of a light string passing over the pulley, which is hinged to rotate freely in a vertical plane about its centre. The magnitude of the acceleration experienced by the blocks is: (Assume no slipping of string on pulley.)

\frac{(M - m) g}{[(\frac{13}{6}) M + m]}

\frac{(M - m) g}{(M + m)}

\frac{(M - m) g}{[(\frac{8}{3}) M + m]}

\frac{(M - m) g}{(2 M + m)}

15 / 20

Two cars A and B each of mass 1000 kg are moving on parallel tracks separated by a distance of 10 m, in the same direction with speeds 72 km/h and 36 km/h. The magnitude of angular momentum of car A with respect to car B is __________ J.s.

3.6 × 10⁵

10⁵

3 × 10⁵

2 × 10⁵

16 / 20

The r.m.s speed of oxygen molecules at 47°C is equal to that of the hydrogen molecules kept at _________ °C. (Mass of oxygen molecule/mass of hydrogen molecule=32/2).

-235

-100

-253

-20

17 / 20

A capacitor C is first charged fully with a potential difference of V₀ and disconnected from the battery. The charged capacitor is connected across an inductor having inductance L. In t seconds, 25% of the initial energy in the capacitor is transferred to the 31. inductor. The value of t is _______ sec.

\frac{π \sqrt{L C}}{3}

\frac{π \sqrt{L C}}{6}

\frac{π \sqrt{L C}}{2}

π \sqrt{\frac{LC}{2}}

18 / 20

The total length of a potentiometer wire AB is 50 cm in the arrangement as shown in the figure. If P is the point where the galvanometer shows zero reading then the length AP is ____________ cm.

19 / 20

The charge stored by the capacitor C in the given circuit in the steady state is .......... μC.

12.5

7.5

20 / 20

Consider two identical metallic spheres of radius R each having charge Q and mass m. Their centers have an initial separation of 4R. Both the spheres are given an initial speed of u towards each other. The minimum value of u so that they can just touch each other is:

(Take $k = \frac{1}{4 π ε_{0}}$ and assume $k Q^{2} > G m^{2}$ where G is the universal gravitational constant.)

\sqrt{\frac{k Q^{2}}{4 m R} (1 - \frac{G m^{2}}{k Q^{2}})}

\sqrt{\frac{k Q^{2}}{4 m R} (1 + \frac{G m^{2}}{k Q^{2}})}

\sqrt{\frac{k Q^{2}}{2 m R} (1 - \frac{G m^{2}}{k Q^{2}})}

\sqrt{\frac{k Q^{2}}{2 m R} (1 - \frac{G m^{2}}{2 k Q^{2}})}

Your score is

This Quiz Contains a set of 10 Math Questions.

The Passing Cut-off is 60%.

To start the Quiz, click on the Start Button.

All the Best!

As shown in the diagram, when the incident ray is parallel to the base of the prism, the emergent ray grazes along the second surface. If the refractive index of the material of the prism is √2, the angle θ of the prism is:

A body of mass 2 kg is moving along the x-direction such that its displacement as function of time is given by x(t) = αt² + βt + γm, where α = 1 m/s², β = 1 m/s, and γ = 1m. The work done on the body during the time interval t = 2 s to t = 3 s, is ______ J.

A large drum with radius R is spinning about its axis with angular velocity ω, as shown in the figure. The minimum value of ω so that a body of mass M remains stuck to the inner wall of the drum, given that the coefficient of friction between the drum surface and mass M is μ, is :

An infinitely long straight wire carrying current I is bent in a planer shape as shown in the diagram. The radius of the circular part is r. The magnetic field at the centre O of the circular loop is:

The energy of an electron in an orbit of the Bohr's atom is -0.04 E₀eV where E₀ is the ground state energy. If 'L' is the angular momentum of the electron in this orbit and h is the Planck's constant, then 2πL/h is __________ :

Two known resistances of R Ω and 2R Ω and one unknown resistance X Ω are connected in a circuit as shown in the figure. If the equivalent resistance between points A and B in the circuit is X Ω, then the value of X is _______ Ω.

A spherical body of radius r and density σ falls freely through a viscous liquid having density ρ and viscosity η and attains a terminal velocity v₀. Estimated maximum error in the quantity η is :
(Ignore errors associated with σ, ρ, and g, gravitational acceleration)

Keeping the significant figures in view, the sum of the physical quantities 52.01m, 153.2 m, and 0.123 m is:

A battery with EMF E and internal resistance r is connected across a resistance R. The power consumption in R will be maximum when:

The kinetic energy of a simple harmonic oscillator is oscillating with an angular frequency of 176 rad/s. The frequency of this simple harmonic oscillator is ______ Hz. (Take π = 22/7)

Two cars A and B each of mass 1000 kg are moving on parallel tracks separated by a distance of 10 m, in the same direction with speeds 72 km/h and 36 km/h. The magnitude of angular momentum of car A with respect to car B is __________ J.s.

The r.m.s speed of oxygen molecules at 47°C is equal to that of the hydrogen molecules kept at _________ °C. (Mass of oxygen molecule/mass of hydrogen molecule=32/2).

The total length of a potentiometer wire AB is 50 cm in the arrangement as shown in the figure. If P is the point where the galvanometer shows zero reading then the length AP is ____________ cm.

The charge stored by the capacitor C in the given circuit in the steady state is .......... μC.

Consider two identical metallic spheres of radius R each having charge Q and mass m. Their centers have an initial separation of 4R. Both the spheres are given an initial speed of u towards each other. The minimum value of u so that they can just touch each other is:

(Take $k = \frac{1}{4 π ε_{0}}$ and assume $k Q^{2} > G m^{2}$ where G is the universal gravitational constant.)

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This Quiz Contains a set of 10 Math Questions.

The Passing Cut-off is 60%.

To start the Quiz, click on the Start Button.

All the Best!

As shown in the diagram, when the incident ray is parallel to the base of the prism, the emergent ray grazes along the second surface. If the refractive index of the material of the prism is √2, the angle θ of the prism is:

A body of mass 2 kg is moving along the x-direction such that its displacement as function of time is given by x(t) = αt² + βt + γm, where α = 1 m/s2, β = 1 m/s, and γ = 1m. The work done on the body during the time interval t = 2 s to t = 3 s, is ______ J.

A large drum with radius R is spinning about its axis with angular velocity ω, as shown in the figure. The minimum value of ω so that a body of mass M remains stuck to the inner wall of the drum, given that the coefficient of friction between the drum surface and mass M is μ, is :

An infinitely long straight wire carrying current I is bent in a planer shape as shown in the diagram. The radius of the circular part is r. The magnetic field at the centre O of the circular loop is:

The energy of an electron in an orbit of the Bohr's atom is -0.04 E0eV where E0 is the ground state energy. If 'L' is the angular momentum of the electron in this orbit and h is the Planck's constant, then 2πL/h is __________ :

Two known resistances of R Ω and 2R Ω and one unknown resistance X Ω are connected in a circuit as shown in the figure. If the equivalent resistance between points A and B in the circuit is X Ω, then the value of X is _______ Ω.

A spherical body of radius r and density σ falls freely through a viscous liquid having density ρ and viscosity η and attains a terminal velocity v0. Estimated maximum error in the quantity η is : (Ignore errors associated with σ, ρ, and g, gravitational acceleration)

Keeping the significant figures in view, the sum of the physical quantities 52.01m, 153.2 m, and 0.123 m is:

A battery with EMF E and internal resistance r is connected across a resistance R. The power consumption in R will be maximum when:

The kinetic energy of a simple harmonic oscillator is oscillating with an angular frequency of 176 rad/s. The frequency of this simple harmonic oscillator is ______ Hz. (Take π = 22/7)

Two cars A and B each of mass 1000 kg are moving on parallel tracks separated by a distance of 10 m, in the same direction with speeds 72 km/h and 36 km/h. The magnitude of angular momentum of car A with respect to car B is __________ J.s.

The r.m.s speed of oxygen molecules at 47°C is equal to that of the hydrogen molecules kept at _________ °C. (Mass of oxygen molecule/mass of hydrogen molecule=32/2).

The total length of a potentiometer wire AB is 50 cm in the arrangement as shown in the figure. If P is the point where the galvanometer shows zero reading then the length AP is ____________ cm.

The charge stored by the capacitor C in the given circuit in the steady state is .......... μC.

Consider two identical metallic spheres of radius R each having charge Q and mass m. Their centers have an initial separation of 4R. Both the spheres are given an initial speed of u towards each other. The minimum value of u so that they can just touch each other is:

(Take k=14πε0 and assume kQ2>Gm2 where G is the universal gravitational constant.)

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A body of mass 2 kg is moving along the x-direction such that its displacement as function of time is given by x(t) = αt² + βt + γm, where α = 1 m/s², β = 1 m/s, and γ = 1m. The work done on the body during the time interval t = 2 s to t = 3 s, is ______ J.

The energy of an electron in an orbit of the Bohr's atom is -0.04 E₀eV where E₀ is the ground state energy. If 'L' is the angular momentum of the electron in this orbit and h is the Planck's constant, then 2πL/h is __________ :

A spherical body of radius r and density σ falls freely through a viscous liquid having density ρ and viscosity η and attains a terminal velocity v₀. Estimated maximum error in the quantity η is :
(Ignore errors associated with σ, ρ, and g, gravitational acceleration)

(Take $k = \frac{1}{4 π ε_{0}}$ and assume $k Q^{2} > G m^{2}$ where G is the universal gravitational constant.)