Student Login

Home›Chapters›Oscillations PYQs›Simple Pendulum›Question 58

JEE Main 2022 (29 Jul, Shift 2) · Simple Pendulum

Simple Pendulum question from JEE Main 2022 (29 Jul, Shift 2)

Q58JEE Main 2022 · 29 JUL · SHIFT 2Medium

Simple Pendulum

The metallic bob of simple pendulum has the relative density 5. The time period of this pendulum is $10\text{ s}$ . If the metallic bob is immersed in water, then the new time period becomes $5\sqrt{x}$ s. The value of $x$ will be ________.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 5

Relative density 5: $g_{eff} = g\left(1 - \frac{1}{5}\right) = \frac{4g}{5}$ .
$T' = T\sqrt{\frac{g}{g_{eff}}} = 10\sqrt{\frac{5}{4}} = 5\sqrt{5}\text{ s}$ .
So $x = 5$ .

Report a mistake

More questions on Simple Pendulum

A pendulum clock is running fast. To correct its time, we shouldMHT CET 2021 (21 Sep, Shift 2)
T0 is the time period of a simple pendulum at a place. if the length of the pendulum is…JEE Main 2021 (22 Jul, Shift 2)
A bob of simple pendulum of mass 'm' perform SHM with amplitude ' A ' and period 'T'…MHT CET 2021 (23 Sep, Shift 2)
Given below are two statements: Statement I: A second's pendulum has a time period of 1…JEE Main 2021 (26 Feb, Shift 2)
If the time period of a two meter long simple pendulum is 2s, the acceleration due to…JEE Main 2021 (25 Feb, Shift 1)
Time period of a simple pendulum is T inside a lift when the lift is stationary. If the…JEE Main 2021 (16 Mar, Shift 1)
A child is sitting on a swing which performs S.H.M. It has minimum and maximum heights…MHT CET 2021 (21 Sep, Shift 2)
A bob of mass 'm' suspended by a thread of length l undergoes simple harmonic…JEE Main 2021 (31 Aug, Shift 2)