By keeping moment of inertia of a body constant, if we double the time period, then angular momentum of body

Options

A. remains constant
B. becomes half
C. doubles
D. quadruples

Answer

B

Explanation

We know that angular momentum of the body is given by
`L=I omegaor L=Ixx(2pi)/(T)or L prop (1)/(T)rArr (L_(1))/(L_(2))=(T_(2))/(T_(1))`
`rArr(L)/(L_(2))=(2T)/(T)" "(As, T_(2)=2T and L_(2)=L)`
So, `L_(2)=(L)/(2)`. Thus, on doubling the time period, angular momentum of body becomes half.