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11.

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 Δ*l* on applying a force F, how much force is needed to stretch the second wire by the same amount?

9F

6F

F

4F

12.

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

13.

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

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

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

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

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

14.

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

$\frac{1}{\mathrm{l}}$

${\mathrm{l}}^{2}$

$\frac{1}{{\mathrm{l}}^{2}}$

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15.

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

16.

The dimensional formula for Young's modulus is

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

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

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

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

17.

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double slit experiment is

infinite

five

three

zero

18.

A wire can be broken by applying load of 200 N. The force required to break another wire of the same length and same material, but double in diameter is

200 N

400 N

600 N

800 N

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19.

A cube of side 40 mm has its upper face displaced by 0.1 mm by a tangential force of 8 kN. The shearing modulus of cube is

2 × 10

^{9}Nm^{-2}4 × 10

^{9}Nm^{-2}8 × 10

^{9}Nm^{-2}16 × 10

^{9}Nm^{-2}

20.

If Young's double slit experiment is performed i water instead of air, then

no fringes would be seen

fringe width would decrease

fringe width would increase

fringe width would remain unchanged

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