Mechanical Properties of Solids Test

Result

Mechanical Properties of Solids Test - 19

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Question 1
4 / -1

A rubber cord 10 m long is suspended vertically. How much does it stretch under its own weight? (Density of rubber is 1500 kg/m³, Y = 5 × 10⁸ N/m 2, g = 10 m/s²)

A
15 × 10^–4 m

B
7.5 × 10^–4 m

C
12 × 10^–4 m

D
25 × 10^–4 m

Solution
Question 2
4 / -1

A steel wire of cross-sectional area 3 × 10^–6 m² can withstand a maximum strain of 10^–3. Young\'s modulus of steel is 2 × 10¹¹ N/m². The maximum mass the wire can hold is (Take g = 10 m/s²)

A
40 kg

B
60 kg

C
80 kg

D
100 kg

Solution
Question 3
4 / -1

The Young\'s modulus of a rubber string 8 cm long and density 1.5 kg/m³ is 5 × 10⁸ N/m², is suspended on the ceiling in a room. The increase in length due to its own weight will be

A
9.6 × le m

B
9.6 × 10^–11 m

C
9.6 × le m

D
9.6 m

Solution
Question 4
4 / -1

One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

A
0.25

B
0.50

C
2.00

D
4.00

Solution
Question 5
4 / -1

If the length of a wire is reduced to half, then it can hold the load

A
Half

B
Same

C
Double

D
One fourth

Solution
Question 6
4 / -1

There are two wires of same material and same length while the diameter of second wire is 2 times the diameter of first wire, then ratio of extension produced in the wires by applying same load will be

A
1 : 1

B
2 : 1

C
1 : 2

D
4 : 1

Solution
Question 7
4 / -1

When the length of a wire having cross-section area 10^–6 m² is stretched by 0.1%, then tension in it is 100 N. Young\'s modulus of material of the wire is

A
10¹² N/m²

B
10² N/m²

C
10¹⁰ N/m²

D
10¹¹ N/m²

Solution
Question 8
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 9
4 / -1

Why the spring is made up of steel in comparison of copper?

A
Copper is more costly than steel

B
Copper is more elastic than steel

C
Steel is more elastic than copper

D
None of the above
Question 10
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

A
2/5

B
3/5

C
5/4

D
5/2

Solution