STANDARDPhysics-Mechanical Properties of Solids

STANDARD Physics Elasticity MCQ Question

Type: MCQ-numerical-Medium-Class 11

A 15 kg mass fastened to the end of a steel wire of unstretched length 1.0 m is whirled in a vertical circle with an angular velocity of 2 rev s⁻¹ at the bottom of the circle. The cross-section of the wire is 0.05 cm². The elongation of the wire when the mass is at the lowest point of its path is (Take, g = 10 m s⁻², Yₛₜₑₑₗ = 2 × 10¹¹ N m⁻²)

A

0.52 mm

B

1.52 mm

C

2.52 mm

D

3.52 mm

Correct Answer

Option C

Detailed Explanation

The stretching force at the lowest point is calculated using F = mg + mrω². Substituting the given values, F = 2516 N. Using Young's modulus, ΔL = FL/AY, the elongation ΔL is found to be 2.52 mm.

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