A bob of mass m suspended by a thread of length ℓ undergoes simple harmonic oscillations with time period T . If the bob is immersed in a liquid that has density 1 4 times that of the bob and the length of the thread is increased by 1 3 r d of the original length, then the time period of the simple harmonic oscillations will be:

Question

A bob of mass m suspended by a thread of length ℓ undergoes simple harmonic oscillations with time period T . If the bob is immersed in a liquid that has density 1 4 times that of the bob and the length of the thread is increased by 1 3 r d of the original length, then the time period of the simple harmonic oscillations will be:, 3 4 T, 4 3 T, T, 3 2 T

MARKS App · Accepted Answer

T = 2 π ℓ g g e f f = g - g 4 = 3 g 4 ∴ T ' = 2 π 4 ℓ / 3 3 g / 4 = 2 π 16 ℓ 9 g T ' = 4 3 T

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