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TS EAMCET · Physics · Gravitation

A mass \(M\) is split into two parts \(m_0\) and \(M-m_0\). These two masses are then separated by a distance \(D\). If the gravitational force between the parts is maximum, then the ratio \(\frac{m_0}{M}\) is

  1. A 0.2
  2. B 0.4
  3. C 0.5
  4. D 0.6
Verified Solution

Answer & Solution

Correct Answer

(C) 0.5

Step-by-step Solution

Detailed explanation

According to given situation, Again, \(m_0\) and \(M-m_0\) are kept at a distance \(D\) gravitational force, \(F=\frac{G m_0\left(M-m_0\right)}{D^2}\) \(F\) will be maximum, when \(\frac{d F}{d m_0}=0\)…
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