A nucleus is at rest in the laboratory frame of reference. Show that if it disintegrates into two smaller nuclei, the products must move in opposite directions.

Asked by Pragya Singh | 1 year ago |  90

##### Solution :-

Let m1, m2 be the masses of the two daughter nuclei and v1,v2 be their respective velocities of the daughter nuclei. Let m be the mass of the parent nucleus.

Total linear momentum after disintegration = m1v1 +mv2.

Before disintegration, the nucleus is at rest. Therefore, its linear momentum before disintegration is zero.

Applying the law of conservation of momentum,

Total linear momentum before disintegration = Total linear momentum after disintegration

0 = m1v+ m2v2

v1=$$\dfrac{-m_2v_2}{m_1}$$

Answered by Abhisek | 1 year ago

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