The time period of jupiter is 11.6 years, how far is jupiter from the sun. Distance of earth from the sun is `1.5 xx 10^(11) m`.

Options

A. `4 xx 10^(11) m`
B. `7.68 xx 10^(11) m`
C. `9.11 xx 10^(11) m`
D. `2xx 10^(11) m`

Answer

B

Explanation

Here, `T_(J) = 11.6 yr. , r_(J) = ? , T_(e) = 1 yr. , r_(e) = 1.5 xx 10^(11)m`
As `(T_(J)^(2))/(T_(e)^(2)) = (r_(J)^(3))/(r_(J)^(3))` or `r_(J) = r_(e) (T_(J)/(T_(e)))^(2//3)` or `r_(J) = 1.5 xx 10^(11) ((11.6)/(1))^(2//3) = 7.68 xx 10^(11) m`