11.

Assertion:  Centripetal force is always required for motion in curved path. 

Reason:  On a banked curved track, vertical component of normal reaction provides the necessary centripetal force.

• If both assertion and reason are true and reason is the correct explanation of assertion.

• If both assertion and reason are true but reason is not the correct explanation of assertion.

• If assertion is true but reason is false.

• If both assertion and reason are false.

Assertion: The speedometer of an automobile measures the average speed of the automobile. 

Reason:  Average velocity is equal to total distance divided by total time taken.

• If both assertion and reason are true and reason is the correct explanation of assertion.

• If both assertion and reason are true but reason is not the correct explanation of assertion

• If assertion is true but reason is false.

• If both assertion and reason are false.

For a constant hydraulic stress P on an object with bulk modulus (B), the fractional change in the volume of object will be

• $\frac{\mathrm{P}}{\mathrm{B}}$

• $\frac{\mathrm{B}}{\mathrm{P}}$

• $\sqrt{\frac{\mathrm{P}}{\mathrm{B}}}$

• ${\left(\frac{\mathrm{B}}{\mathrm{P}}\right)}^2$

Viscous force exerted by the liquid flowing between two plates in a streamline flow depends upon the

• velocity gradient in the direction perpendicular to the plates

• area of plate

• co-efficient of viscosity of the liquid

• all of these

When a current is passed in a conductor, 5°C rise in temperature is observed. If the strength of current is made thrice, rise in temperature will be

• 5 ^oC

• 20 ^oC

• 45 ^oC

• 15 ^oC

The equation of a progressive wave is given by y = 5 sin$\left(100 \mathrm{\pi } \mathrm{t} - 0.4 \mathrm{\pi } \mathrm{x}\right)$ where y and x are in m and t is in s

(1) The amplitude of the wave is 5 m.

(2) The wavelength of the wave is 5 m.

(3) The frequency of the wave is 50 Hz.

(4) The velocity of the wave is 250 m s^-1

Which of the following statements are correct?

• (1), (2) and (3)

• (2) and (3)

• (1) and (4)

• All are correct

Motion of an oscillating liquid in a U tube is

• periodic but not simple harmonic.

• non-periodic.

• simple harmonic and time period is independent of the density of the liquid.

• simple harmonic and time period is directly proportional to the density of the liquid.

A thermodynamic process is carried out from an original state D to an intermediate state E by the linear process shown in figure

The total work is done by the gas from D to E to F is

• 100 J

• 800 J

• 300 J

• 250 J

If 10goficeis added to 40 g of water at 15°C, then the temperature of the mixture is(specific heat of water = 4.2 x 10³ J kg^-1K^-1, Latent heat of fusion of ice = 3.36 x 10⁵ J kg^-1 )

• 15 ^oC

• 12 ^oC

• 10 ^oC

• 0 ^oC

1 mole of H₂ gas is contained in a box of volume V  = 1.00 m³  at  T = 300 K. The gas is heated to a temperature of  T = 3000 K  and the gas gets converted to a gas of hydrogen atoms. The final pressure would be (considering all gases to be ideal)

• same as the pressure initially

• 2 times the pressure initially

• 10 times the pressure initially

• 20 times the pressure initially