AIPMT MAINS2009Physics-Waves

AIPMT MAINS 2009 Physics Beats MCQ Question

Type: MCQ-numerical-Medium-Class 11

Each of the two strings of length 51.6 cm and 49.1 cm are tensioned separately by 20 N force. Mass per unit length of both the strings is same and equal to 1 g/m. When both the strings vibrate simultaneously the number of beats is:

A

7

B

8

C

3

D

5

Correct Answer

Option A

Detailed Explanation

The beat frequency is the difference in frequencies of the two strings. Using the formula for frequency of a string, f = (1/2L)√(T/μ), where L is the length, T is the tension, and μ is the mass per unit length, we calculate the frequencies and find their difference to be 7 Hz.

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