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Standard XII

Physics

Gravitational Field Due to a Solid Sphere

Mass density ...

Question

Mass density and radius of a solid sphere are ρ, R respectively. Gravitational field at an internal point which is at a distance r from the centre is.

\frac{4 πρGr}{3}

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\frac{4 {πρGr}^{2}}{3}

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\frac{4 πρG R^{3}}{3 r^{2}}

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\frac{4 πρG R^{3}}{3 r}

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Solution

The correct option is A $\frac{4 πρGr}{3}$
$E (r) = \frac{G M}{R^{3}} r f o r r \leq R = \frac{G}{R^{3}} (\frac{4}{3} π R^{3} . ρ r) = \frac{4 G r π ρ}{3}$

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Mass density and radius of a solid sphere are ρ, R respectively. Gravitational field at an internal point which is at a distance r from the centre is.

The correct option is A 4πρGr3E(r)=GMR3r for r≤R=GR3(43πR3.ρr)=4Grπρ3

The correct option is A $\frac{4 πρGr}{3}$
$E (r) = \frac{G M}{R^{3}} r f o r r \leq R = \frac{G}{R^{3}} (\frac{4}{3} π R^{3} . ρ r) = \frac{4 G r π ρ}{3}$