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] $