Question

Periodic time of simple pendulum depends on the length of pendulum I mass of the Bob of pendulum m and gravitational acceleration g derive equation of periodic time T (K=2π)

Answer 1

hope it helps..

t=k l^a m^b g^c...    --eq1

taking dimensions of both the sides

T=L^a M^b (LT^-2)^c

=L^a+c M^b T^-2c

comparing power of both the sides,we get

a+c=0

b=0

-2c=1

giving, a=1/2

b=0 and c= -1/2

putting these values in the eq1

t=k underroot l/g