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JEE PYQ: Oscillations Question 40

Question 40 - 2019 (11 Jan 2019 Shift 2)

A simple pendulum of length 1 m is oscillating with an angular frequency 10 rad/s. The support of the pendulum starts oscillating up and down with a small angular frequency of 1 rad/s and an amplitude of $10^{-2}$ m. The relative change in the angular frequency of the pendulum is best given by:

(1) $10^{-3}$ rad/s

(2) 1 rad/s

(3) $10^{-1}$ rad/s

(4) $10^{-5}$ rad/s

Show Answer

Answer: (1)

Solution

$\frac{\Delta\omega}{\omega} = \frac{1}{2}\frac{\Delta g}{g}$. $\Delta\omega = 10^{-3}$ rad/s.


Learning Progress: Step 40 of 43 in this series