Question

A particle of mass \(2m\) is projected at an angle of \(45^\circ\) with the horizontal with a velocity \(20\sqrt{2}\,\text{m/s}\). After \(1\,\text{s}\), an explosion takes place and the particle breaks into two equal pieces. As a result of explosion, one part comes to rest. The maximum height from the ground attained by the other part is:

• A. \(50\,\text{m}\)
• B. \(25\,\text{m}\)
• C. \(40\,\text{m}\)
• D. \(35\,\text{m}\)

Hint:

Explosion does not change total momentum instantaneously. Vertical momentum conservation is crucial.

Answer 1

The Correct Option is C