Young's Modulus(Bulk Modulus, Modulus of Rigidity) NEET Questions

Young's Modulus(Bulk Modulus, Modulus of Rigidity) MCQ Questions

13.
A copper wire (Y = 1.1 × 10¹¹ N m⁻², length 2.2 m) and a steel wire (Y = 2.0 × 10¹¹ N m⁻², length 1.6 m) of the same diameter are connected end-to-end and stretched by a load. The net elongation is 0.70 mm. The elongation of the copper wire is: (NCERT Example 8.2)
A.
0.20 mm
B.
0.35 mm
C.
0.70 mm
D.
0.50 mm
ANSWER :
D. 0.50 mm
14.
In NCERT Example 8.2 (copper + steel wires), after finding ΔL_c = 0.50 mm and ΔL_s = 0.20 mm, the load W applied is: (diameter = 3 mm, Y_c = 1.1 × 10¹¹ N m⁻²)
A.
90 N
B.
45 N
C.
180 N
D.
360 N
ANSWER :
C. 180 N
15.
Two wires of the same material and length but radii r and 2r respectively are given the same tensile load F. The ratio of their elongations (ΔL₁ : ΔL₂) is:
A.
4 : 1
B.
2 : 1
C.
1 : 2
D.
1 : 4
ANSWER :
A. 4 : 1
16.
Two wires A and B of the same material have lengths L and 2L respectively, and cross-sectional areas A and 2A respectively. Under the same applied force F, the ratio of elongations ΔL_A : ΔL_B is:
A.
1 : 4
B.
1 : 1
C.
1 : 2
D.
2 : 1
ANSWER :
B. 1 : 1
17.
To increase the length of a thin steel wire (Y = 2 × 10¹¹ N m⁻²) of cross-section 0.1 cm² by 0.1%, the force required is:
A.
2000 N
B.
20000 N
C.
10000 N
D.
1000 N
ANSWER :
A. 2000 N
18.
For the same 0.1% elongation and same 0.1 cm² cross-section as above, the force required for aluminium (Y = 70 GPa) is:
A.
1100 N
B.
2000 N
C.
900 N
D.
690 N
ANSWER :
D. 690 N