The ratio of KE of a planet at the points 1 and 2 is

Question

The ratio of KE of a planet at the points 1 and 2 is <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/f4a4e81fb8c316dcc7cbbde587d21522-.png" /> (A) (( r 1/ r 2))2 (B) (( r 2/ r 1))2 (C) (r1/r2) (D) ( r 2/ r 1)

Tardigrade Admin · Accepted Answer

v1 r 1=v2 r 2 ⇒ (v1/v2)=(r2/r1) So, (K1/K2)=((v1/v2))2 =(r22/r12)

Q. The ratio of $K E$ of a planet at the points 1 and 2 is

$(\frac{r _{1}}{r _{2}})^{2}$

$(\frac{r _{2}}{r _{1}})^{2}$

$\frac{r _{1}}{r _{2}}$

$\frac{r _{2}}{r _{1}}$

$v_{1} r_{1} = v_{2} r_{2}$
$\Rightarrow \frac{v _{1}}{v _{2}} = \frac{r _{2}}{r _{1}}$
So, $\frac{K _{1}}{K _{2}} = (\frac{v _{1}}{v _{2}})^{2}$
$= \frac{r _{2}^{2}}{r _{1}^{2}}$

Q. The ratio of KE of a planet at the points 1 and 2 is

(r2​r1​​)2

(r1​r2​​)2

r2​r1​​

r1​r2​​