A shell projected from a level ground has a range R, if it did not explode. At the highest point, the shell explodes into two fragments having masses in the ratio 1:4; with each fragment moving horizontally immediately after the explosion. If the lighter fragment falls at a distance R from the point of projection, behind the point of projection, the distance at which the other fragments falls from the point of projection is

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

2R/3

5R/3

3R/2

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

_{$x c m = \frac{m_{1} x_{1} + m_{2} x_{2}}{m_{1} + m_{2}}$}

_{$R = \frac{\frac{m}{5} (- R) + \frac{4 m}{5} (x_{2})}{m}$}

_{$M R = \frac{m}{5} (- R) + \frac{4}{5} m x_{2}$}

_{$R + \frac{R}{5} = \frac{4}{5} x_{2}$}

_{$\frac{6 R}{5} = \frac{4}{5} x_{2}$}

_{$x_{2} = \frac{6}{4} R = \frac{3}{2} R$}

Watch 3-min video & get full concept clarity