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7.Gravitation
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The mass and diameter of a planet have twice the value of the corresponding parameters of earth. Acceleration due to gravity on the surface of the planet is ........ $m/{\sec ^2}$.
A
$9.8$
B
$4.9$
C
$980$
D
$19.6$
Solution
(b) $\frac{{g'}}{g} = \frac{{M'}}{M}{\left( {\frac{R}{{R'}}} \right)^2} = \left( {\frac{{2M}}{M}} \right)\;{\left( {\frac{R}{{2R}}} \right)^2} = \frac{1}{2}$
$⇒$ $g' = \frac{g}{2} = \frac{{9.8}}{2} = 4.9\;m/{s^2}$
Standard 11
Physics
