Find the increase in pressure required to decrease the volume of water sample by 0.01%. Bulk modulus of water = 2.1 × 10⁹ Nm^-2 .

• 4.3x 10⁴ N/m²

• 1.8 × 10⁷ N/m² 

• 2.1 × 10⁵ N/m²

• 3.7 × 10⁴ N/m²

The intensity of each of the two slits in Young's double slit experiment is I₀ Calculate the minimum separation between the points on the screen, where intensities are 2I₀ and I₀ If fringe width is b

• $\frac{\mathrm{b}}{5}$

• $\frac{\mathrm{b}}{8}$

• $\frac{\mathrm{b}}{12}$

• $\frac{\mathrm{b}}{4}$

Assertion:  A rigid body can be elastic.

Reason: If s force is applied on the rigid, its dimensions may change.

• 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

• $\frac{\mathrm{P}}{\mathrm{B}}$

• $\frac{\mathrm{B}}{\mathrm{P}}$

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

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

Young's modulus for a steel wire is 2 x 10¹¹ Pa and its elastic limit is 2.5 x 10⁸ Pa. By how much can a steel wire 3 m long and 2 mm in diameter be stretched before the elastic limit is exceeded?

• 3.75  mm

• 7.50 mm

• 4.75 mm

• 4.00 mm

Assertion:  Transverse sound wave does not occurs in gases. 

Reason: Gases cannot sustain shearing strain.

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

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

• If assertion is true but reason is false.

• If both assertion and reason are false.

Which of the following graph depicts spring constant k versus length l of the spring correctly?

A body of mass 5 kg moving with a speed of 1.5 m/s on a horizontal smooth surface collides with a nearly weightless spring of force constant k = 5 N/m. The maximum compression of the spring would be

• 0.5 m

• 0.15 m

• 1.5 m

• 0.12 m

Assertion:  The size and shape of the rigid body remains unaffected under the effect of external forces. 

Reason:  The distance between two particles remains constant in a rigid body.

• 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

If a wire is extended to a new length l, the work done is

• $\frac{\mathrm{Y} \mathrm{A}}{\mathrm{l}} \left(\mathrm{l} - \mathrm{l}\text{'}\right)$

• $\frac{\mathrm{YA}}{\mathrm{l}} {\left( \mathrm{l} - \mathrm{l}\text{'} \right)}^2$

• $\frac{1}{2} \frac{\mathrm{YA}}{\mathrm{l}} {\left( \mathrm{l} - \mathrm{l}\text{'} \right)}^2$

• $2. \frac{\mathrm{YA}}{\mathrm{l}} {\left( \mathrm{l} - \mathrm{l}\text{'} \right)}^2$