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Motion In Straight Line

Question
CBSEENPH11017857

The average distance between sun and mars is 1.524 times the average distance between earth and sun. If the time period of revolution of the earth is one year, find that of mars? 

Solution

We have, 
straight T subscript straight m space equals space straight T subscript straight e space open parentheses straight r subscript straight m over straight r subscript straight e close parentheses to the power of begin inline style bevelled 3 over 2 end style end exponent space

Therefore comma space

straight T subscript straight m space equals space 1. space left parenthesis 1.524 right parenthesis to the power of begin inline style bevelled 3 over 2 end style end exponent space
space
space space space space space equals space 1.879 space years 
Tm is the time period of revolution of mars.