CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Universal Law of Gravitation

Two concentri...

Question

Two concentric shells of masses $M_{1}$ and $M_{2}$ are having radii $r_{1}$ and $r_{2}$ . Which if the following is the correct expression for the gravitational field on a mass $m$ ?

A

F = \frac{G (M_{1} + M_{2})}{r^{2}}

for

r < r_{1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

F = \frac{G (M_{1} + M_{2})}{r^{2}}

for

r < r_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

F = \frac{G M_{2}}{r^{2}}

for

r_{1} < r < r_{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

F = \frac{G M_{1}}{r^{2}}

for

r_{1} < r < r_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $F = \frac{G M_{2}}{r^{2}}$ for $r_{1} < r < r_{2}$
A uniform shell has no contribution to the gravitational field inside it from Gauss Law for Gravitation. Using this principle,

gravitational field would be 0 for $r < r_{1}$

gravitational field would be $\frac{G M_{2}}{r^{2}}$ for $r_{1} < r < r_{2}$

gravitational field would be $\frac{G {(M_{1} + M}_{2})}{r^{2}}$
for $r > r_{2}$

Answer is option C.

Suggest Corrections

thumbs-up

0

Similar questions

Q. Two concentric shells of masses

M_{1}

M_{2}

are having radii

r_{1}

r_{2}

. Which of the following is the correct expression for the gravitational field at a distance r.

Q. Two concentric spherical shells have masses

M_{1}

M_{2}

R_{1}

R_{2}

(R_{1} < R_{2})

. What is the force exerted by this system on a particle of mass

m

if it is at a distance

\frac{(R_{1} + R_{2})}{2}

from the centre?

Q. Two resistors of resistance

R_{1}

R_{2}

R_{1} > R_{2}

are connected in parallel. For equivalent resistance R, the correct statement is:

Q. The magnitudes of the gravitational force at distances

r_{1}

r_{2}

from the centre of a uniform sphere of radius

R

M

F_{1}

F_{2}

respectively. Then

Q. Two concentric spherical shells have masses and radii

m_{1}, m_{2}

R_{1}, R_{2} (R_{1} < R_{2})

. Calculate the force exerted by this system on a particle of mass

m

, if it is placed at a distance

\frac{(R_{1} + R_{2})}{2}

from the centre.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

The Universal Law

PHYSICS

Watch in App

explore_more_icon

Explore more

Universal Law of Gravitation

Standard IX Physics

Join BYJU'S Learning Program

CrossIcon