15. A vessel at rest explodes into three pieces. Two pieces having equal masses fly off perpendicular to one another with the same velocity 30 meter per second. The third piece has three times mass of each of other piece. The magnitude and direction of the velocity of the third piece will be
(a) 10√2 m/second and 135° from either
(b) 10√2 m/second and 45° from either
(c) 10/√2 m/second and 135° from either
(d) 10/√2 m/second and 45° from either
Answer: a
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(a) – 5 J (b) – 10 J (c) – 15 J (d) – 20 J Answer-a