Mechanical Properties of Solids

In Young's double slit experiment with sodium vapour lamp of wavelength 589 nm and the slits 0.589 mm apart, the half angular width of the central maximum is

• sin^-1 (0.01)

• sin^-1 (0.0001)

• sin^-1 (0.001)

• sin^-1 (0.1)

The Bulk modulus for an incompressible liquid is

• zero

• unity

• infinity

• between O and 1

In Young's double slit experiment with sodium vapour lamp of wavelength 589 nm and the slits 0.589 mm apart, the half angular width of the central maximum is

• sin^-1 (0.01)

• sin^-1 (0.0001)

• sin^-1 (0.001)

• sin^-1 (0.1)

If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are a, b Brass and c respectively, the ratio between the increase in lengths of brass and steel wires would

A steel wire of 1 m long and l mm² cross-section area is hanged from rigid end when weight of 1 kg is hang from it, then change in length will be

(Young's coefficient for wire Y = 2 x 10¹¹ N/m² )

• 0.5 mm

• 0.25 mm

• 0.05 mm

• 5 mm

What is the change in the volume of 1.0 L kerosene, when it is subjected to an extra pressure of 2.0 x 10⁵ Nm^-2 from the following data? Density of kerosene = 800 kg m^-3  and speed of sound in kerosene= 1330 ms^-1.

• 0.97 cm^-3

• 0.66 cm^-3

• 0.15 cm^-3

• 0.59 cm^-3

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

• $\frac{\mathrm{P}}{\mathrm{B}}$

• $\frac{\mathrm{B}}{\mathrm{P}}$

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

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