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JEE Main 2022 · 28 Jun · Shift 1, Physics question 51

A pendulum is suspended by a string of length 250 cm. The mass of the bob of the pendulum is 200 g. The bob is pulled aside until the string is at 60° with vertical as shown in the figure. After releasing the bob, the maximum velocity attained by the bob will be ______ ms−1^{-1}. (if g=10g=10 m/s2^2)

A pendulum of length l = 250 cm hanging from a ceiling, pulled aside so the string makes 60° with the vertical.
Answer and worked solution

Official answer: 5

Drop in height. l(1−cos⁡60°)=1.25l(1-\cos60°)=1.25 m.

Speed at the bottom. 2×10×1.25=5\sqrt{2\times10\times1.25}=5 m s−1^{-1}.

Answer: 5

Topics:Conservation of mechanical energy
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