Mechanical Properties of Solids Test

Result

Mechanical Properties of Solids Test - 12

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Question 1
4 / -1

The breaking stress of a wire depends upon

A
Length of the wire

B
Radius of the wire

C
Material of the wire

D
Shape of the cross section
Question 2
4 / -1

The mean distance between the atoms of iron is 3 × 10^–10 m and interatomic force constant for iron 7 N/m. The Young\'s modulus of elasticity for iron is

A
2.33 × 10⁵ N/m²

B
23.3 × 10¹⁰ N/m²

C
233 × 10¹⁰ N/m²

D
2.33 × 10¹⁰ N/m²

Solution
Question 3
4 / -1

A force of 200 N is applied at one end of a wire of length 2 m and having area of cross-section 10^–2 cm². The other end of the wire is rigidly fixed. If coefficient of linear expansion of the wire α = 8 × 10^–6 /°C and Young\'s modulus Y = 2.2 × 10¹¹ N/m² and its temperature is increased is by 5°C, then the increase in the tension of the wire will be

A
4.2 N

B
4.4 N

C
2.4 N

D
8.8 N

Solution
Question 4
4 / -1

The length of a wire is 1.0 m and the area of cross-section is 1.0 × 10^–2 cm². If the work done for increase in length by 0.2 cm is 0.4 joule, then Young\'s modulus of the material of the wire is

A
2.0 × 10¹⁰ N/m²

B
4.0 × 10¹⁰ N/m²

C
2.0 × 10¹¹ N/m²

D
4.0 × 10¹¹ N/m²

Solution
Question 5
4 / -1

A rubber cord catapult has cross-sectional area 25 mm² and initial length of rubber cord is 10 cm. It is stretched to 5 cm and then released to project a missile of mass 5 gm. Taking Y_rubber = 5 × 10⁸ N/m² velocity of projected missile is

A
20 ms^–1

B
100 ms^–1

C
250 ms^–1

D
200 ms^–1

Solution
Question 6
4 / -1

A metal bar of length L and area of cross-section A is clamped between two rigid supports. For the material of the rod, its Young\'s modulus is Y and coefficient of linear expansion is α. If the temperature of the rod is increased by ∆t °C, the force exerted by the rod on the supports is

A
YALΔt

B
YAαΔt

C

D
YαALΔt
Question 7
4 / -1

Young\'s modulus of rubber is 10⁴ N/m² and area of cross-section is 2 cm². If force of 2 × 10⁵ dynes is applied along its length, then its initial length L becomes

A
3L

B
4L

C
2L

D
None of these

Solution
Question 8
4 / -1

If the interatomic spacing in a steel wire is 3.0 Å and Y_steel = 20 × 10¹⁰ N/m² then force constant is

A
6 × 10^–2 N/Å

B
6 × 10^–9 N/Å

C
4 × 10^–5 N/Å

D
6 × 10^–5 N/Å

Solution
Question 9
4 / -1

A wire of length L and radius r is rigidly fixed at one end. On stretching the other end of the wire with a force F, the increase in its length is l . If another wire of same material but of length 2L and radius 2r is stretched with a force of 2F, the increase in its length will be

A
l

B
2l

C
l/2

D
l/4

Solution
Question 10
4 / -1

In steel, the Young\'s modulus and the strain at the breaking point are 2 × 10¹¹ Nm^–2 and 0.15 respectively. The stress at the breaking point for steel is therefore

A
1.33 × 10¹¹ Nm^–2

B
1.33 × 10¹² Nm^–2

C
7.5 × 10^–13 Nm^–2

D
3 × 10¹⁰ Nm^–2

Solution