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

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

1.
Young's modulus (Y) is defined as the ratio of:
A.
Hydraulic stress to volumetric strain
B.
Lateral strain to longitudinal strain
C.
Shearing stress to shearing strain
D.
Tensile (or compressive) stress to longitudinal strain
ANSWER :
D. Tensile (or compressive) stress to longitudinal strain
2.
The mathematical expression for Young's modulus in terms of applied force F, original length L, cross-sectional area A, and elongation ΔL is:
A.
Y = FΔL / (AL)
B.
Y = AL / (FΔL)
C.
Y = FL / (AΔL)
D.
Y = AΔL / (FL)
ANSWER :
C. Y = FL / (AΔL)
3.
The SI unit of Young's modulus is:
A.
N m (Newton-metre)
B.
kg m⁻¹
C.
N m⁻² (Pascal)
D.
Dimensionless
ANSWER :
C. N m⁻² (Pascal)
4.
The dimensional formula of Young's modulus is:
A.
[ML²T⁻²]
B.
[MLT⁻²]
C.
[M⁰L⁰T⁰]
D.
[ML⁻¹T⁻²]
ANSWER :
D. [ML⁻¹T⁻²]
5.
For a given material, Young's modulus has the same value whether the applied stress is tensile or compressive. This means:
A.
Compressive stress is always larger than tensile stress
B.
Young's modulus is zero for compression
C.
The material behaves differently under tension and compression
D.
The magnitude of longitudinal strain is the same for tensile and compressive stress of equal magnitude
ANSWER :
D. The magnitude of longitudinal strain is the same for tensile and compressive stress of equal magnitude
6.
A wire of Young's modulus Y, length L, and cross-sectional area A is stretched by a force F. The elongation produced is:
A.
ΔL = FA/(YL)
B.
ΔL = YL/(FA)
C.
ΔL = FL/(YA)
D.
ΔL = YAL/F
ANSWER :
C. ΔL = FL/(YA)