The maximum and minimum distances of a comet from the sun are 1.4 10¹² ~m and 7 10¹⁰ ~m . If its velocity nearest to the sun is 6 10¹⁴ ~ms ⁻¹ , what is its velocity in the farthest position? (Assume the comet to be spherical)

Step-by-step solution

The given situation is shown below a_ =1.4 10¹² ~m a_ =7 10¹⁰ ~m The velocity of the comet is maximum, when it is nearest to the sun and minimum when it is farthest from the sun. v_ =6 10¹⁴ ~m / s Applying the law of conservation of angular momentum at points A and B , we get aligned &m v_ a_ =m v_ a_ ( L=m v r) & v_ = v_ a_ a_ &= 6 10¹⁴ 7 10¹⁰ 1.4 10¹² &=3 10¹³ ~ms ⁻¹ aligned No option is correct.