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JEE Main 201219 MayOnline

Exam: JEE Main
Year: 2012
Date: 19 May
Mode: Online
Subject: Physics
Chapter: Laws of Motion

JEE Main 2012 · 19 May · Online · Physics · Laws of Motion

Two point masses of mass m_1=f M and m_2=(1-f) M(f < 1) are in...

Two point masses of mass

m_1=f M

and

m_2=(1-f) M(f < 1)

are in outer space (far from gravitational influence of other objects) at a distance

R

from each other. They move in circular orbits about their centre of mass with angular velocities

\omega_1

for

m_1

and

\omega_2

for

m_2

. In that case

Options

A $(1-f) \omega_1=f \omega$
B $\omega_1=\omega_2$ and independent of $f$
C $f \omega_1=(1-f) \omega_2$
D $\omega_1=\omega_2$ and depend on $f$

Correct answer

B. $\omega_1=\omega_2$ and independent of $f$

Step-by-step solution

Angular velocity is the angular displacement per unit time i.e.,

\omega=\frac{\Delta \theta}{\Delta t}

Here

w_1=w_2

and independent of

f

.

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