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COLUMN-I COLUMN-II
A)
P) Q(r) is variation of modulus of gravitational potential for a uniform volumetric spherical distribution of mass
B)
Q) Q(r) is variation of modulus of gravitational potential for a uniform spherical shell
C)
R) Q(r) is variation of gravitational field intensity for a uniform volumetric spherical distribution of mass
D)
S) Q(r) is variation of gravitational field intensity for a uniform spherical shell

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A-Q; B-R; C-P; D-S

A-P; B-S; C-R; D-P

A-Q; B-R; C-S; D-P

A-R; B-S; C-Q; D-P

answer is C.

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Detailed Solution

Gravitational potential for a uniform spherical shell is given by

$V = - \frac{GM}{R} if r < R$

$V = - \frac{GM}{r} if r > R$

Gravitational field intensity for a uniform spherical shell is given by

$E = 0 if r < R$

$E = - \frac{GM}{r^{2}} if r > R$

Gravitational potential for a uniform solid sphere is given by

$V = - \frac{GM}{R^{3}} (\frac{3 R^{2} - r^{2}}{2}) if r < R$

$V = - \frac{GM}{r} if r > R$

Gravitational field intensity for a uniform sphere is given by

$E = - \frac{GMr}{R^{3}} if r < R$

$E = - \frac{GM}{r^{2}} if r > R$

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