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7.Gravitation
medium
The earth moves around the Sun in an elliptical orbit as shown in figure.The ratio $OA/OB = x$ . The ratio of the speed of the earth at $B$ to that at $A$ is nearly
A
$\sqrt x$
B
$x$
C
$x \sqrt x$
D
$x^2$
Solution
Applying conservation of angular momentum at position $\mathrm{A}$ and $\mathrm{B}$
$\mathrm{mv}_{\mathrm{A}} \times \mathrm{OA}=\mathrm{mv}_{\mathrm{B}} \times \mathrm{OB}$
Hence, $\frac{\mathrm{v}_{\mathrm{B}}}{\mathrm{v}_{\mathrm{A}}}=\frac{\mathrm{OA}}{\mathrm{OB}}=\mathrm{x}$
Standard 11
Physics
Similar Questions
Match List$-I$ With List$-II$
| $(a)$ Gravitational constant $(G)$ | $(i)$ $\left[ L ^{2} T ^{-2}\right]$ |
| $(b)$ Gravitational potential energy | $(ii)$ $\left[ M ^{-1} L ^{3} T ^{-2}\right]$ |
| $(c)$ Gravitational potential | $(iii)$ $\left[ LT ^{-2}\right]$ |
| $(d)$ Gravitational intensity | $(iv)$ $\left[ ML ^{2} T ^{-2}\right]$ |
Choose the correct answer from the options given below:
