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Q.

Two particles of masses $m_{1} and m_{2} (m_{1} > m_{2})$ are separated by a distance d. The shift in the center of mass when the two particles are interchanged

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a

$\frac{(m_{1} - m_{2}) d}{m_{1} + m_{2}}$

b

$\frac{m_{2} d}{m_{1} - m_{2}}$

c

$\frac{(m_{1} + m_{2}) d}{m_{1} - m_{2}}$

d

$\frac{m_{1} d}{m_{1} - m_{2}}$

answer is B.

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Detailed Solution

Question Image

$\begin{array}{l} r_{1} = \frac{m_{2} d}{m_{1} + m_{2}} \\ r_{2} = \frac{m_{1} d}{m_{1} + m_{2}} \end{array}$

$Shift Δr = r_{2} - r_{1} = \frac{(m_{1} - m_{2}) d}{m_{1} + m_{2}}$

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