Sodium has body centred packing.Distance between two nearest atoms is 3.7 A. The lattice parameter is

• 6.8 A

• 4.3 A

• 3.0 A

• 3.0 A

For a cubic structure which one of the following relations indicating the cell characteristic is correct?

The bulk modulus of a spherical object is ‘B’. If it is subjected to uniform pressure ‘p’, the fractional decrease in radius is

• p/B

• B/2p

• 3p/B

• 3p/B

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

• 25 m/s²

• 0.25 rad/s²

• 25 rad/s²

• 25 rad/s²

Two wires are made of the same material and have the same volume. The first wire has cross-sectional area A and the second wire has cross-sectional area 3A. If the length of the first wire is increased by Δl on applying a force F, how much force is needed to stretch the second wire by the same amount?

• 9F

• 6F

• F

• 4F

The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is

• 13.2 cm

• 8 cm

• 16 cm

• 12.5 cm

57.

A ball falling in a lake depth 200 m shows a decrease of 0.1 % in its volume at the bottom then the bulk modulus of the material of the ball is

• $19.6\times {10}^8 \mathrm{N}/{\mathrm{m}}^2$

• $19.2\times {10}^7\mathrm{N}/{\mathrm{m}}^2$

• $24\times {10}^9 \mathrm{N}/{\mathrm{m}}^2$

• $24\times {10}^5 \mathrm{N}/{\mathrm{m}}^2$

A fixed volume of iron is drawn into a wire of length l. The extension x produced in this wire by a constant force F is proportional to

• l

• $\frac{1}{\mathrm{l}}$

• ${\mathrm{l}}^2$

• $\frac{1}{{\mathrm{l}}^2}$

Two bars A and B of circular cross-section and same volume made of same material are subjected under same tension. If the diameter of A is half that of B. The ratio of extension of A to B will be

• 16

• 2

• $\frac{1}{4}$

• 4

The dimensional formula for Young's modulus is

• $\left[\mathrm{M} {\mathrm{L}}^{-1} {\mathrm{T}}^{-2}\right]$

• $\left[{\mathrm{M}}^{\mathrm{o}} \mathrm{L} {\mathrm{T}}^{-2}\right]$

• $\left[\mathrm{M} \mathrm{L} {\mathrm{T}}^{-2}\right]$

• $\left[\mathrm{M} {\mathrm{L}}^2{\mathrm{T}}^{-2}\right]$