NEET 2015 Physics - Class 11 AIPM-2015-Ph-1325 Solution: Two particles of masses $m_1 m_2$ move with initial…

QAIPM-2015-Ph-1325: NEET 2015 Physics - Class 11 AIPM-2015-Ph-1325 Solution: Two particles of masses $m_1 m_2$ move with initial…

Two particles of masses

m_1 m_2

move with initial velocities

u_1

and

u_2

. On collision one of the particles get excited to higher level after absorbing energy

\epsilon

. If final velocities of particles be

v_1

and

v_2

then we must have:

\frac{1}{2}m_1u_1^2 + \frac{1}{2}m_2u_2^2 - \epsilon = \frac{1}{2}m_1v_1^2 + \frac{1}{2}m_2v_2^2

\frac{1}{2}m_1^2u_1^2 + \frac{1}{2}m_2^2u_2^2 + \epsilon = \frac{1}{2}m_1^2v_1^2 + \frac{1}{2}m_2^2v_2^2

m_1^2u_1 + m_2^2u_2 - \epsilon = m_1^2v_1 + m_2^2v_2

\frac{1}{2}m_1u_1^2 + \frac{1}{2}m_2u_2^2 = \frac{1}{2}m_1v_1^2 + \frac{1}{2}m_2v_2^2 - \epsilon

A ${1 \over 2}$ 2 1 _ m 1 u $_1^2$ 1 2 _ + ${1 \over 2}$ 2 1 _ m 2 u $_2^2$ 2 2 _ $-$ _ $\varepsilon$ _ = ${1 \over 2}$ 2 1 _ m 1 v $_1^2$ 1 2 _ + ${1 \over 2}$ 2 1 _ m 2 v $_2^2$ 2 2 _
B ${1 \over 2}$ 2 1 _ m $_1^2$ 1 2 _ u $_1^2$ 1 2 _ + ${1 \over 2}$ 2 1 _ m $_2^2$ 2 2 _ u $_2^2$ 2 2 _ + $\varepsilon$ _ = ${1 \over 2}$ 2 1 _ m $_1^2$ 1 2 _ v $_1^2$ 1 2 _ + ${1 \over 2}$ 2 1 _ m $_2^2$ 2 2 _ v $_2^2$ 2 2 _
C m $_1^2$ 1 2 _ u 1 + m $_2^2$ 2 2 _ u 2 $-$ _ $\varepsilon$ _ = m $_1^2$ 1 2 _ v 1 + m $_2^2$ 2 2 _ v 2
D ${1 \over 2}$ 2 1 _ m 1 u $_1^2$ 1 2 _ + ${1 \over 2}$ 2 1 _ m 2 u $_2^2$ 2 2 _ = ${1 \over 2}$ 2 1 _ m 1 v $_1^2$ 1 2 _ + ${1 \over 2}$ 2 1 _ m 2 v $_2^2$ 2 2 _ $-$ _ $\varepsilon$ _

Step-by-Step Verified Solution

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