The acceleration due to gravity changes from 9.8 ms^{-2} to 9.5 ms^{-2}. To keep the period of pendulum constant, its length must changes by

  • Option 1)

    3 m

  • Option 2)

    0.3 m

  • Option 3)

    0.3 cm

  • Option 4)

    3 cm

 

Answers (1)

As discussed in

Time period of oscillation of simple pendulum -

T=2\pi \sqrt{\frac{l}{g}}

- wherein

l = length of pendulum 

g = acceleration due to gravity.

 

 g changes from 9.8 ms^{-2} to 9.5ms^{-2}

length changes by 3 cm


Option 1)

3 m

This solution is incorrect.

Option 2)

0.3 m

This solution is incorrect.

Option 3)

0.3 cm

This solution is incorrect.

Option 4)

3 cm

This solution is correct.

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