A bomb is kept stationary at a point. It suddenly explodes into two fragments of masses \( 1 \ma...

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A bomb is kept stationary at a point. It suddenly explodes into two fragments of masses \( 1 \mathrm{~g} \) and \( 3 \mathrm{~g} \). The total K.E. of the fragments is \( 6.4 \times 10^{4} \mathrm{~J} \). What is the K.E. of the smaller fragment
[DCE 2004]
(a) \( 2.5 \times 10^{4} \mathrm{~J} \)
(b) \( 3.5 \times 10^{4} \mathrm{~J} \)
(c) \( 4.8 \times 10^{4} \mathrm{~J} \)
(d) \( 5.2 \times 10^{4} \mathrm{~J} \)
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