The maximum and minimum distance of a comet form the sun are `8xx10^(12)m and 1.6xx10^(12)m`. If its velocity when nearest to the sun is `60m//s`, what will be its velocity in m/s when it is farthest

Options

A. 12
B. 60
C. 112
D. 6

Answer

A

Explanation

By law of conservation of angular momentum, mvr = constant
`v_("min") xx r_("max") = v_("max") xx r_("min")`
`therefore v_("max") = (60 xx 1.6 xx 10^(12))/(8 xx 10^(12)) = (60)/(5) = 12 ` m/s