Mechanical Properties of Solids Test

Result

Mechanical Properties of Solids Test - 11

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Question 1
4 / -1

If x longitudinal strain is produced in a wire of Young\'s modulus y, then energy stored in the material of the wire per unit volume is

A
yx²

B
2yx²

C
1/2 y²x

D
1/2 yx²

Solution
Question 2
4 / -1

Two wires of equal lengths are made of the same material. Wire A has a diameter that is twice as that of wire B. If identical weights are suspended from the ends of these wires, the increases in length is

A
Four times for wire A as for wire B

B
Twice for wire A as for wire B

C
Half for wire A as for wire B

D
One-fourth for wire A as for wire B

Solution
Question 3
4 / -1

Steel and copper wires of same length are stretched by the same weight one after the other. Young\'s modulus of steel and copper are 2 × 10¹¹ N/m² and 1.2 × 10¹¹ N/m². The ratio of increase in length is

A
2/5

B
3/5

C
5/4

D
5/2

Solution
Question 4
4 / -1

A substance breaks down by a stress of 10⁶ N/m². If the density of the material of the wire is 3 × 10³ kg/m³, then the length of the wire of the substance which will break under its own weight when suspended vertically, is

A
66.6 m

B
60.0 m

C
33.3 m

D
30.0 m

Solution
Question 5
4 / -1

The temperature of a wire of length 1 metre and area of cross-section 1 cm² is increased from 0°C to 100°C. If the rod is not allowed to increase in length, the force required will be (α = 10^–5/°C and Y = 10¹¹ N/m²)

A
10³ N

B
10⁴ N

C
10⁵ N

D
10⁹ N

Solution
Question 6
4 / -1

An aluminum 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 7
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 8
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 9
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
Question 10
4 / -1

Two identical wires of rubber and iron are stretched by the same weight, then the number of atoms in the iron wire will be

A
Equal to that of rubber

B
Less than that of the rubber

C
More than that of the rubber

D
None of the above