Question

The orbital angular momentum of a satellite revolving at a distance r from the centre is L. If the distance is increased to 16r, then new angular momentum will be

• A. 16 L
• B. 64 L
• C. $\frac { L } { 4 }$
• D. 4 L

Answer 1

Answer: (D)

4 L

Answer 2

Angular momentum $L \propto \sqrt { r }$

$\frac { L _ { 2 } } { L _ { 1 } } = \sqrt { \frac { r _ { 2 } } { r _ { 1 } } } = \sqrt { \frac { 16 r } { r } } = 4$

$L _ { 2 } = 4 L _ { 1 } = 4 L$