STANDARDPhysics-Waves

STANDARD Physics Waves on Strings MCQ Question

Type: MCQ-numerical-Medium-Class 11

A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of 50 Hz. The mass of the wire is 30 g and its linear density 4 x 10⁻² kg m⁻¹. The speed of the transverse wave at the string is

A

25 m s⁻¹

B

50 m s⁻¹

C

75 m s⁻¹

D

100 m s⁻¹

Correct Answer

Option C

Detailed Explanation

The speed of a wave on a string is given by v = √(T/μ), where T is the tension and μ is the linear density. For the fundamental mode, 2L = λ, and v = fλ. Substituting the given values, the speed of the transverse wave is 75 m s⁻¹.

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