Question

The time period of a pendulum is measured in four different planets: Mars, Earth, Saturn and Jupiter (planets are arranged in order of increasing 'g' values). Time period will be longest on ___________.

Answer 1

The time period( T ) of a simple pendulum is given by :

              

where l is the length of the pendulum and g is the acceleration due to gravity on that planet.

As we can see:

          

So greater the acceleration due to gravity, smaller will be the time period for the pendulum.

in the given problem, mars have smallest value for 'g'.

so time period will be longest on Mars.