First slide

Gravitational force and laws

Question

A sphere of mass M and radius R₂ has a concentric cavity of radius R₁ as shown in figure. The force F exerted by the sphere on a particle of mass m located at a distance r from the centre of sphere varies as $(0 \leq r \leq \infty)$

Moderate

A
B
C
D

Solution

$F = 0$ when $0 \leq r \leq R_{1}$
because intensity is zero inside the cavity.
F increase when $R_{1} \leq r \leq R_{2}$
$F \propto \frac{1}{r^{2}}$ when $r > R_{2}$

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