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7.Gravitation
medium
If the earth is at one-fourth of its present distance from the sun, the duration of the year will be
A
Half the present year
B
One-eighth the present year
C
One-fourth the present year
D
One-sixth the present year
Solution
(b) Since ${T^2} \propto {r^3}$
$\therefore \,\,{\left( {\frac{{T'}}{T}} \right)^2} = {\left( {\frac{1}{4}} \right)^3}\,$
$\Rightarrow \,T' = \frac{1}{8}T$
Standard 11
Physics