The bob of a simple pendulum executes simple harmonic motion in water with a period t, while the period of oscillation of the bob is to in air. Neglectingfrictional force of water and given that the density of the bob is (4 / 3) x 1000 kg / m3. What relationshipbetween t and to is true ?
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a
t=t0
b
t=t0/2
c
t=2t0
d
t=4t0
answer is C.
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Detailed Solution
. Let g 'be the value of acceleration due to gravity in water. Thengâ²=g1âÏÏ=g1â34 So, in water, the time period t is given by t=2Ï4lg in hir t0=2Ïlg from (1), t=22Ïlg=2t0