Oscillations

JEE Main level, single correct, medium

122 of 194

Question 122 of 194

T0{T}_{0} is the time period of a simple pendulum at a place. If the length of the pendulum is reduced to 116\dfrac{1}{16} times of its initial value, the modified time period is

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Answer: (D) 14T0\dfrac{1}{4}{T}_{0}

T0=2πℓg{T}_{0}=2\pi \sqrt{\dfrac{\ell }{g}}
New time period, T==2π(ℓ16)g=2π4ℓgT==2\pi \sqrt{\dfrac{\left(\dfrac{\ell }{16}\right)}{g}}=\dfrac{2\pi }{4}\sqrt{\dfrac{\ell }{g}}
T=T04T=\dfrac{{T}_{0}}{4}

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