Physics-Transverse & Longitudinal Waves

NEET Physics Transverse & Longitudinal Waves MCQ Question

Type: MCQ-numerical-Hard-Class 11

A wire stretched between two rigid supports vibrates at its fundamental frequency of 45 Hz. If the mass of the wire is 3.5 × 10^-2 kg, what should be the tension in the wire for a length of 1.5 meters?

A

45 N

B

67.5 N

C

90 N

D

135 N

Correct Answer

Option B

Detailed Explanation

The fundamental frequency of a stretched wire is given by f = (1/2L)√(T/μ), where L is the length, T is the tension, and μ is the mass per unit length. Solving for T with L = 1.5 m, f = 45 Hz, and μ = mass/length = 3.5 × 10^-2 kg / 1.5 m gives T = 67.5 N.

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