A ball of mass 'm' moving with a speed 'u' under goes a head-on e… - Vidyadip

MCQ

A ball of mass $'m'$ moving with a speed $'u'$ under goes a head-on elastic collision with a ball of mass $(nm)$ initially at rest. The fraction of the incident energy transferred to the heaveir ball is

A
$\frac {n}{1+n}$
B
$\frac{n}{{{{(1 + n)}^2}}}$
C
$\frac{2n}{{{{(1 + n)}^2}}}$
✓
$\frac{4n}{{{{(1 + n)}^2}}}$

✓

Answer

Correct option: D.

$\frac{4n}{{{{(1 + n)}^2}}}$

d
$\frac{{4{m_1}{m_2}}}{{{{({m_1}\, + \,{m_2})}^2}}}\,\, \Rightarrow \,\,\frac{{4m(nm)}}{{(m + n{m^2})\,}}\,\,\,\,\,\,\,\,\frac{{4n}}{{{{(1 + n)}^2}}}$

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