Exam Instructions & Structure

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Questions and Answers

Assertion (A): The centripetal acceleration of a particle in uniform circular motion is not a constant vector. Reason (R): The magnitude of the centripetal acceleration is constant but its direction changes, pointing always towards the centre.

Assertion (A) is true but Reason (R) is false.
Assertion (A) is false and Reason (R) is also false.
Both Assertion (A) and Reason (R) are correct and R is the correct explanation of A. (correct)
Both Assertion (A) and Reason (R) are correct and R is not the correct explanation of A.

Assertion (A): The work done by a spring force in a cyclic process is zero. Reason (R): The spring force is a non-conservative force.

Both Assertion (A) and Reason (R) are correct and R is the correct explanation of A.
Assertion (A) is false and Reason (R) is also false.
Both Assertion (A) and Reason (R) are correct and R is not the correct explanation of A.
Assertion (A) is true but Reason (R) is false. (correct)

Assertion (A): Internal energy of an ideal gas does not depend upon the volume of the gas. Reason (R): Internal energy of an ideal gas depends on temperature of the gas.

Assertion (A) is true but Reason (R) is false.
Both Assertion (A) and Reason (R) are correct and R is not the correct explanation of A.
Both Assertion (A) and Reason (R) are correct and R is the correct explanation of A. (correct)
Assertion (A) is false and Reason (R) is also false.

Assertion (A): In an adiabatic process, the heat absorbed or released by an ideal gas is zero. Reason (R): The work done by the gas results in increase in its temperature.

Both Assertion (A) and Reason (R) are correct and R is not the correct explanation of A. (A) Signup and view all the answers

Assertion (A): The graph between total energy of a particle in simple harmonic motion and its displacement is a straight line parallel to displacement axis. Reason (R): Total energy of particle in SHM remains constant throughout its motion.

Both Assertion (A) and Reason (R) are correct and R is the correct explanation of A. (C) Signup and view all the answers

The average kinetic energy of gas molecules is described by which of the following statements?

Directly proportional to the absolute temperature. (A) Signup and view all the answers

Consider an ideal gas. How is the pressure of the gas related to the speed of its molecules?

Directly proportional to the square of the average speed. (C) Signup and view all the answers

For an ideal monatomic gas, what is the value of the ratio of specific heats (C_p/C_v)?

5/3 (B) Signup and view all the answers

If two masses, m₁ and m₂, are separated by a distance r, how does the gravitational potential energy (U) of the system change if the distance r is doubled?

U is halved. (A) Signup and view all the answers

How does the speed of sound in air relate to the ratio of specific heats (C_p/C_v)?

Directly proportional to the square root of (Cp/Cv). (B) Signup and view all the answers

Two sound waves with nearly equal angular frequencies ω₁ and ω₂ superimpose. Which expression correctly describes the angular frequency of the resultant wave?

$(\omega_1 + \omega_2)/2$ (D) Signup and view all the answers

In a composite cylindrical bar made of two metals with different thermal conductivities, what factor primarily determines the temperature at their junction?

The ratio of the thermal conductivities and lengths of each metal. (C) Signup and view all the answers

When 1 g of water transforms from liquid to vapor phase, which factor has the most significant impact on the change in internal energy?

The latent heat of vaporization. (C) Signup and view all the answers

A spherical body falling through a viscous fluid attains terminal velocity when:

The net force on the body is zero. (B) Signup and view all the answers

If the radius of a sphere falling through a viscous fluid is doubled, how will its terminal velocity change, assuming all other factors remain constant?

It will quadruple. (D) Signup and view all the answers

A mass attached to a spring oscillates with a frequency $f$. If the mass is doubled, what happens to the new frequency of oscillation?

It decreases by a factor of $\sqrt{2}$. (B) Signup and view all the answers

For a spring-mass system undergoing SHM, at which position is the acceleration of the mass maximum?

At the point of maximum displacement from equilibrium. (A) Signup and view all the answers

During an isothermal expansion of an ideal gas, which of the following statements is true?

The heat supplied to the gas is equal to the work done by the gas. (B) Signup and view all the answers

In an adiabatic process, what remains constant?

Heat. (D) Signup and view all the answers

A wire is stretched horizontally between two points. When a mass is suspended from the middle, the depression is 'd'. If Young's modulus of the wire's material is increased, how will 'd' change, assuming other parameters remain constant?

d will decrease. (C) Signup and view all the answers

According to Bernoulli's equation, what quantity remains constant along a streamline in an ideal fluid flow?

The sum of pressure, kinetic energy per unit volume, and potential energy per unit volume. (B) Signup and view all the answers

Flashcards

Centripetal Acceleration

The acceleration of a particle moving in a circle, directed towards the center.

Centripetal Acceleration Direction

While the magnitude of centripetal acceleration is constant, its direction changes continuously.