Mechanical Properties of Solids Test

Result

Mechanical Properties of Solids Test - 13

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Question 1
4 / -1

The force required to stretch a steel wire of 1 cm² cross-section to 1.1 times its length would be (Y = 2 × 10¹¹ Nm^–2)

A
2 × 10⁶ N

B
2 × 10³ N

C
2 × 10^–6 N

D
2 × 10^–7 N

Solution
Question 2
4 / -1

Which one of the following quantities does not have the unit of force per unit area?

A
Stress

B
Strain

C
Young's modulus of elasticity

D
Pressure
Question 3
4 / -1

A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied, which stretches their combined length by 1 cm. The two wires will have

A
Different stresses and strains

B
The same stress and strain

C
The same strain but different stresses

D
The same stress but different strains

Solution
Question 4
4 / -1

Two wires of the same material have lengths in the ratio 1 : 2 and their radii are in the ratio 1∶√2 If they are stretched by applying equal forces, the increase in their lengths will be in the ratio

A
2 : √2

B
√2 : 2

C
1 : 1

D
1 : 2

Solution
Question 5
4 / -1

When a weight of 10 kg is suspended from a copper wire of length 3 metre and diameter 0.4 mm, its length increases by 2.4 cm. If the diameter of the wire is doubled, then the extension in its length will be

A
9.6 cm

B
4.8 cm

C
1.2 cm

D
0.6 cm

Solution
Question 6
4 / -1

A force of 10³ newton stretches the length of a hanging wire by 1 millimetre. The force required to stretch a wire of same material and length but having four times the diameter by 1 millimetre is

A
4 × 10³ N

B
16 × 10³ N

C

D

Solution
Question 7
4 / -1

On applying a stress of 20 × 10⁸ N/m² the length of a perfectly elastic wire is doubled. Its Young\'s modulus will be

A
40 × 10⁸ N/m²

B
20 × 10⁸ N/m²

C
10 × 10⁸ N/m²

D
5 × 10⁸ N/m²

Solution
Question 8
4 / -1

A wire is stretched by 0.01 m by a certain force F. Another wire of same material whose diameter and length are double to the original wire is stretched by the same force. Then its elongation will be

A
0.005 m

B
0.01 m

C
0.02 m

D
0.002 m

Solution
Question 9
4 / -1

The coefficient of linear expansion of brass and steel are α₁ and α₂. If we take a brass rod of length l₁ and steel rod of length l₂ at 0°C, their difference in length (l₂ – l₁) will remain the same at a temperature if

A

B

C

D

Solution
Question 10
4 / -1

A rod is fixed between two points at 20°C. The coefficient of linear expansion of material of rod is 1.1 × 10^–5/°C and Young\'s modulus is 1.2 × 10¹¹ N/m². Find the stress developed in the rod if temperature of rod becomes 10°C

A
1.32 × 10⁷ N/m²

B
1.10 × 10¹⁵ N/m²

C
1.32 × 10⁸ N/m²

D
1.10 × 10⁶ N/m²

Solution