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JEE Main 202228 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
28 June
Shift
Morning Shift
Subject
Physics
Chapter
Work, Power and Energy

JEE Main 2022 · 28 June · Morning Shift · Physics · Work, Power and Energy

A pendulum is suspended by a string of length 250cm . The mass of...

A pendulum is suspended by a string of length 250cm250cm. The mass of the bob of the pendulum is 200g200g. The bob is pulled aside until the string is at 60°60 ° with vertical as shown in the figure. After releasing the bob, the maximum velocity attained by the bob will be _____ ms−1m{s}^{- 1}. (if g=10ms−2g = 10m{s}^{- 2})

A pendulum is suspended by a string of length 250cm . The mass of the bob of the pendulum is 200g . The bob is pulled

Correct answer

0

Step-by-step solution

A pendulum is suspended by a string of length 250cm . The mass of the bob of the pendulum is 200g . The bob is pulled

Velocity will be maximum at the bottom point when potential energy of the pendulum will be zero(considering bottom point as reference for potential energy).

12mv2=mg(l−lcos60°)v=gl=10×2.5=5ms−1\dfrac{1}{2}m{v}^{2} = mg\left(l - lcos60 °\right)v = \sqrt{gl} = \sqrt{10 \times 2 . 5} = 5m{s}^{- 1}

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