If L is the angular momentum of a satellite revolving around earth in a circular orbit of radius r with speed v, then

Question

If L is the angular momentum of a satellite revolving around earth in a circular orbit of radius r with speed v, then (A) L propto v (B) L propto r (C) L propto √r (D) L propto √V

Tardigrade Admin · Accepted Answer

Angular momentum of a satellite revolving around earth in a circular orbit,

L = m v r

m \to

mass of satellite

v \to

speed of satellite

r \to

radius of orbit

\Rightarrow L = m v r

Also,

v = \frac{GM}{r}

\Rightarrow L = m \frac{GM}{r} r

Thus,

L \propto r

Q. If $L$ is the angular momentum of a satellite revolving around earth in a circular orbit of radius $r$ with speed $v$ , then

$L \propto v$

$L \propto r$

$L \propto r$

$L \propto V$

Angular momentum of a satellite revolving around earth in a circular orbit, $L = m v r$
$m \to$ mass of satellite
$v \to$ speed of satellite
$r \to$ radius of orbit
$\Rightarrow L = m v r$
Also, $v = \frac{GM}{r}$
$\Rightarrow L = m \frac{GM}{r} r$
Thus, $L \propto r$

Q. If L is the angular momentum of a satellite revolving around earth in a circular orbit of radius r with speed v, then

L∝v

L∝r

L∝r​

L∝V​

Angular momentum of a satellite revolving around earth in a circular orbit, L=mvr m→ mass of satellite v→ speed of satellite r→ radius of orbit ⇒L=mvr Also, v=rGM​​ ⇒L=mrGM​​r Thus, L∝r​

Q. If $L$ is the angular momentum of a satellite revolving around earth in a circular orbit of radius $r$ with speed $v$ , then

$L \propto v$

$L \propto r$

$L \propto r$

$L \propto V$

Angular momentum of a satellite revolving around earth in a circular orbit, $L = m v r$
$m \to$ mass of satellite
$v \to$ speed of satellite
$r \to$ radius of orbit
$\Rightarrow L = m v r$
Also, $v = \frac{GM}{r}$
$\Rightarrow L = m \frac{GM}{r} r$
Thus, $L \propto r$