Question

If the acceleration due to gravity on moon is one sixth that on the earth what will be length and time period of a second pendulum there

Answer 1

 For second's pendulum at the surface of earth

For second's pendulum at the surface of moon

From Eqn. (i) and (ii)

Now, 

On surface of moon, acceleration due to gravity is g/6. Time period of seconds pendulum on earth is 2 seconds.

On Earth, 

On moon,

From both equation we get,