Question

Beats are produced by frequencies \( \nu_1 \) and \( \nu_2 \) (\( \nu_1>\nu_2 \)). The duration of time between two successive minima is

• A. \( \frac{1}{\nu_1 + \nu_2} \)
• B. \( \frac{2}{\nu_1 - \nu_2} \)
• C. \( \frac{2}{\nu_1 + \nu_2} \)
• D. \( \frac{1}{\nu_1 - \nu_2} \)

Hint:

In beat frequency problems, the time period between minima is the reciprocal of the difference between the frequencies.

Answer 1

The Correct Option is D

The time between two successive minima in a beat is given by the formula: \[ T = \frac{1}{\nu_1 - \nu_2} \] Where \( \nu_1 \) and \( \nu_2 \) are the frequencies producing the beats. Thus, the correct expression is: \[ \boxed{T = \frac{1}{\nu_1 - \nu_2}} \]