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Q.

A simple pendulum of length ‘l’ carries a bob of mass m. If the breaking strength of the string is 2 mg, the maximum angular amplitude from the vertical can be

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a

00

b

300

c

600

d

900

answer is C.

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Detailed Solution

When the bob moves from extreme position to mean position , it loses its potential energy and gains kinetic.Energy , speed of the bob becomes maximum and tension induced in the string also becomes maximum,.: 1/2 mV2max = mgh = mgl (1- cos θ)⇒ mV2 max /l = 2mg (1- cosθ)Tmax = mg + mV2 max / l⇒ 2mg = mg + 2mg (1-cos θ )⇒ cos θ = 1/2 ⇒ θ = 600
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