The density of a newly discovered planet is twice that of Earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the Earth. If the radius of the Earth is $R$,the radius of the planet would be

  • A
    $2R$
  • B
    $4R$
  • C
    $\frac{1}{4}R$
  • D
    $\frac{1}{2}R$

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Similar Questions

Obtain an expression for the acceleration due to gravity of the Earth at a depth $d$ below its surface.

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Match Column-$I$ with Column-$II$.
Column-$I$ Column-$II$
$(1)$ Maximum value of acceleration due to gravity $g$ $(a)$ At the center of the Earth
$(2)$ Minimum value of acceleration due to gravity $g$ $(b)$ At the poles
$(3)$ Zero value of acceleration due to gravity $g$ $(c)$ At the equator

The acceleration due to gravity at height $h$ above the earth if $h \ll R$ (radius of earth) is given by

$A$ $90 \,kg$ body placed at $2R$ distance from the surface of the Earth experiences a gravitational pull of: ($R=$ Radius of Earth,$g=10 \,ms^{-2}$) (in $\,N$)

The radius of the Earth is approximately $6000 \, km$. The weight of a body at a height of $6000 \, km$ from the Earth's surface becomes:

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