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NEET 2004

Exam: NEET
Year: 2004
Subject: Physics
Chapter: Center of Mass, Momentum and Collision

NEET 2004 · Physics · Center of Mass, Momentum and Collision

A particle of mass m_1 is moving with a velocity v_1 and another...

A particle of mass

m_1

is moving with a velocity

v_1

and another particle of mass

m_2

is moving with a velocity

v_2

. Both of them have the same momentum but their different kinetic energies are

E_1

and

E_2

respectively. If

m_1>m_2

then:

Options

A $E_1 < E_2$
B $\frac{E_1}{E_2}=\frac{m_1}{m_1}$
C $E_1>E_2$
D $E_1=E_2$

Correct answer

A. $E_1 < E_2$

Step-by-step solution

We know that K.E.

=\frac{P^2}{2 m}

\begin{array}{ll} \therefore& \frac{E_1}{E_2}=\frac{P_1^2 / 2 m_1}{P_2^2 / 2 m_2}\\ \Rightarrow \quad \frac{E_1}{E_2}=\frac{m_2}{m_1} \end{array}

Here

\quad m_1=m_2

\therefore \quad E_1 < E_2

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