Question

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Updated on : 2022-09-05

Solution

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Correct option is B)

Given Data

Radius of sphere 1 is R

Radius of sphere 2 is 2R

Density in P

Distance between Two sphere in $r⇒R+2R$

$=3R...(1)$

We know that

Density $=volumemass $ [For uni form spherical objects]

$∴$ mass = volume $×$ Density

volume of sphere in given be $=34 πR_{3}$

$∴$ mass of sphere 1 in $m_{1}⇒34 πR_{3}ρ...(2)$

mass of sphere 2 in $m_{2}⇒34 π(2R)_{3}ρ...(3)$

$→$ From Theorem of Gravitation

$F=Gr_{2}m_{1}m_{2} ⇒G(3R)_{2}(34 πR_{3}ρ)(34 π(8R_{3})ρ) $

$F⇒81128 Gπ_{2}R_{4}ρ_{2} $

Hence $AnswerisB $

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