Gravitation Question 197

Question: The maximum and minimum distances of a comet from the sun are $ [8\times 10^{12},m] $ and $ [1.6\times 10^{12},m] $ . If its velocity when nearest to the sun is 60 m/s, what will be its velocity in m/s when it is farthest [Orissa 2001]

Options:

A) 12

B) 60

C) 112

D) 6

Show Answer

Answer:

Correct Answer: A

Solution:

By conservation of angular momentum mvr= constant $ [{v_{\min }}\times {r_{\max }}={v_{\max }}\times {r_{\min }}] $ $ [{v_{\min }}=\frac{60\times 1.6\times 10^{12}}{8\times 10^{12}}=\frac{60}{5}=12,m/s] $



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