Mechanical Properties of Solids Test

Result

Mechanical Properties of Solids Test - 20

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Question 1
4 / -1

An area of cross-section of rubber string is 2 cm². Its length is doubled when stretched with a linear force of 2 × 10⁵ dynes. The Young\'s modulus of the rubber in dyne/cm² will be

A
4 × 10⁵

B
1 × 10⁵

C
2 × 10⁵

D
1 × 10⁴

Solution
Question 2
4 / -1

The temperature of a wire of length 1 m² and area of cross-section 1 cm is increased from 0°C to 100°C. If the rod is not allowed to increase in length, the force required will be (a = 10^–5/°C and Y = 10¹¹ wm²)

A
10³ N

B
10⁴ N

C
10⁵ N

D
10⁹ N

Solution
Question 3
4 / -1

If longitudinal strain for a wire is 0.03 and its Poisson\'s ratio is 0.5, then its lateral strain is

A
0.003

B
0.0075

C
0.015

D
0.4

Solution
Question 4
4 / -1

An aluminium rod (Young\'s modulus = 7 × 10⁹ N/m²) has a breaking strain of 0.2%. The minimum cross-sectional area of the rod in order to support a load of 10⁴ Newton\'s is

A
1 × 10^–2 m²

B
1.4 × 10^–3 m²

C
3.5 × 10^–3 m²

D
7.1 × 10^–4 m²

Solution
Question 5
4 / -1

Two wires of copper having the length in the ratio 4 : 1 and their radii ratio as 1 : 4 are stretched by the same force. The ratio of longitudinal strain in the two will be

A
1 : 16

B
16 : 1

C
1 : 64

D
64 : 1

Solution
Question 6
4 / -1

A weight of 200 kg is suspended by vertical wire of length 600.5 cm. The area of cross-section of wire is 1 mm². When the load is removed, the wire contracts by 0.5 cm. The Young\'s modulus of the material of wire will be

A
2.35 × 10¹² N/m²

B
1.35 × 10¹⁰ N/m²

C
13.5 × 10¹¹ N/m²

D
23.5 × 10⁹ N/m²

Solution
Question 7
4 / -1

A wire elongates by 1 mm when a load W is hanged from it. If the wire goes over a pulley and two weights W each are hung at the two ends, the elongation of the wire will be (in mm)

A
21

B
Zero

C
1/2

D
1

Solution
Question 8
4 / -1

The ratio of diameters of two wires of same material is n : 1. The length of wires are 4 m each. One applying the same load, the increase in length of thin wire will be

A
n² times

B
n times

C
2n times

D
None of these

Solution
Question 9
4 / -1

Longitudinal stress of 1 N/mm² is applied on a wire. The percentage increase in length is (Y = 10¹¹ wm²)

A
0.002

B
0.001

C
0.003

D
0.01

Solution
Question 10
4 / -1

A steel wire is stretched with a definite load. If the Young\'s modulus of the wire is Y. For decreasing the value of Y

A
Radius is to be decreased

B
Radius is to be increased

C
Length is to be increased

D
None of the above