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

Angular momentum of the body is given by
`L=lomega`
`"or "L=lxx(2pi)/(T) or L prop (1)/(T)`
`rArr" "(L_(1))/(L_(2))=(T_(2))/(T_(1)) or (L)/(L_(2))=(2T)/(T)" "("as "T_(2)=2T)`
`"So, "L_(2)=(L)/(2)`
Thus, on doubling the time period, angular momentum of body becomes half.