1.The ratio of the lengths of two wires A and B of same material is 1 : 2 and the ratio of their diameter is 2 : 1. They are stretched by the same
force, then the ratio of increase in length will be

a) 2 : 1

b) 1 : 4

c) 1 : 8

d) 8 : 1

Explanation:

2. The Young's modulus of a wire of length L and radius r is Y \[ N/m^{2}\]. If the length and radius are reduced to L/2 and r/2, then its Young's modulus
will be

a) Y/2

b) Y

c) 2Y

d) 4Y

Explanation: Young's modulus of wire does not varies with dimension of wire. It is the property of given material.

3. A beam of metal supported at the two ends is loaded at the centre. The depression at the centre
is proportional to

a) \[Y^{2}\]

b) Y

c) 1/Y

d) \[1\diagup Y^{2}\]

Explanation:

4. When a certain weight is suspended from a long uniform wire, its length increases by one cm. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one then the increase in
length will be

a) 0.5 cm

b) 2 cm

c) 4 cm

d) 8 cm

Explanation:

5. Hook's law defines

a) Stress

b) Strain

c) Modulus of elasticity

d) Elastic limit

Explanation: Modulus of elasticity

6.A wire is loaded by 6 kg at its one end, the increase in length is 12 mm. If the radius of thewire is doubled and all other magnitudes are unchanged, then increase in length will be

a) 6 mm

b) 3 mm

c) 24 mm

d) 48 mm

Explanation:

7. The area of cross-section of a wire of length 1.1 metre is 1 mm^{2}. It is loaded with 1 kg. If Young's modulus of copper is \[1.1\times10^{11}N\diagup m^{2}\] , then the
increase in length will be if \[\left(g=10m\diagup s^{2}\right)\]

a) 0.01 mm

b) 0.075 mm

c) 0.1 mm

d) 0. 15 mm

Explanation:

8. On increasing the length by 0.5 mm in a steel wire of length 2 m and area of cross-section 2 mm^{2} , the
force required is [Y for steel \[=2.2\times10^{11}N\diagup m^{2}\] ]

a) \[1.1\times10^{5}N\]

b) \[1.1\times10^{4}N\]

c) \[1.1\times10^{3}N\]

d) \[1.1\times10^{2}N\]

Explanation:

9. If Young's modulus of iron is \[2\times10^{11}N\diagup m^{2}\] and the interatomic spacing between two molecules is
\[3\times10^{-10}\] metre , the interatomic force constant is

a) 60 N/m

b) 120 N/m

c) 30 N/m

d) 180 N/m

Explanation:

10.In CGS system, the Young's modulus of a steel wire is \[2\times10^{12}\] . To double the length of a wire of
unit cross-section area, the force required is

a) \[4\times10^{6}dynes\]

b) \[2\times10^{12}dynes\]

c) \[2\times10^{12}newtons\]

d) \[2\times10^{8}dynes\]

Explanation: