he bob of a simple pendulum executes simple harmonic motion in water with a period t , while the period of oscillation of the bob is t0 in air. Neglecting frictional force of water and given that the density of the bob is (4/3) x 1000 kg/m3. What relationship between t and t0 is true ?
t = t0
t = t0/2
t = 2t0
t = 4t0
As we learnt in
Time period of oscillation of simple pendulum -
- wherein
l = length of pendulum
g = acceleration due to gravity.
Due to upthrust of water on the top, its apparent weight decreases
upthrust = weight of liquid displaced
Correct option is 3.
Option 1)
t = t0
This is an incorrect option.
Option 2)
t = t0/2
This is an incorrect option.
Option 3)
t = 2t0
This is the correct option.
Option 4)
t = 4t0
This is an incorrect option.
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