Physics-Transverse & Longitudinal Waves

NEET Physics Transverse & Longitudinal Waves MCQ Question

Type: MCQ-numerical-Hard-Class 11

A string of length 2 meters is fixed at both ends and is vibrating in its fundamental mode with a frequency of 50 Hz. If the mass of the string is 0.04 kg, what is the tension in the string?

A

200 N

B

400 N

C

800 N

D

1000 N

Correct Answer

Option B

Detailed Explanation

The frequency of the fundamental mode for a string fixed at both ends 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 using the given values (L = 2 m, f = 50 Hz, and μ = 0.02 kg/m), we get T = 400 N.

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