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Question: The maximum and minimum distance of a comet from the sun are\(8 \times 10 ^ { 12 }\)m and \(1.6 \tim...

The maximum and minimum distance of a comet from the sun are8×10128 \times 10 ^ { 12 }m and 1.6×10121.6 \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

A

12

B

60

C

112

D

6

Answer

12

Explanation

Solution

According to conservation of angular momentum

constant

\therefore vmin=vmax×rminrmaxv _ { \min } = v _ { \max } \times \frac { r _ { \min } } { r _ { \max } } =60×(1.6×10128×1012)=12 m/s= 60 \times \left( \frac { 1.6 \times 10 ^ { 12 } } { 8 \times 10 ^ { 12 } } \right) = 12 \mathrm {~m} / \mathrm { s }