Verified Solution • 2025–26 Session moderate

QAIPMT-2004-Ph-2638: NEET 2004 Physics - Class 11 AIPMT-2004-Ph-2638 Solution: Consider a system of two particles having masses \(m_1\) and…

Consider a system of two particles having masses m1m_1 and m2m_2. If the particle of mass m1m_1 is pushed towards the mass centre of particles through a distance d, by what distance would the particle of mass m2m_2 move so as to keep the mass centre of particles at the original position?

Multiple Choice Options

  • A m1m1+m2d\frac{m_1}{m_1+m_2}d
  • B m1m2d\frac{m_1}{m_2}d
  • C dd
  • D m2m1d\frac{m_2}{m_1}d

Step-by-Step Verified Solution

C . M = m 1 x 1 + m 2 x 2 m 1 + m 2    ...(i) After changing position of m 1 and to keep the position of C.M. same C . M = m 1 ( x 1 _ d ) + m 2 ( x 2 + d 2 ) m 1 + m 2 _ 0 = m 1 d + m 2 d 2 m 1 + m 2    [Substituting value of C.M. from (i)] _ d 2 = m 1 m 2 d

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