A pendulum made of a uniform wire of cross sectional area A has time period T. When an additional mass M is added to its bob, the time period changes to TM . If the Young's modulus of the material of the wire is Y then (g = gravitational acceleration) 1/Y is equal to - VgyanHub

Question:

A pendulum made of a uniform wire of cross sectional area A has time period T. When an additional mass M is added to its bob, the time period changes to T_M . If the Young’s modulus of the material of the wire is Y then (g = gravitational acceleration) 1/Y is equal to

Options :

(a) [(Tm/T)^2-1]A/Mg
(b) [(Tm/T)^2-1]Mg/A
(c) [1-(Tm/T)^2]A/Mg
(d) [1-(T/Tm)^2]A/Mg

Answer :

(a) [(Tm/T)²-1]A/Mg

Answer Steps :

step 1

step 2

step 3

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