Question

A nucleus of density ρ disintegrates into two daughter nuclei with masses in the ratio 27 : 64. Density of the larger nucleus is

Answer 1

Explanation:

Let mass and velocities of two fragments be m

1

,v

1

,m

2

,v

2

As both fragments have the same density and volume of sphere ∝ r

3

Applying conservation of momentum:

m

1

,v

1

=m

2

,v

2

⇒v

1

r

1

3

=v

2

r

2

3

⇒

r

2

3

r

1

3

=

2

1

⇒

r

2

r

1

=

2

3

1

1

Answer 2

The nucleus of density ρ splits into two female nuclei of density at 27:54 and the density of the largest nucleus is:

• The nucleus splits into two female nuclei of a mass at 27:64.
• If the radius of the parent nucleus is the radius of the simple daughter nucleus it is LIN (4) 10> the nucleus splits.
• Ρ nucleus = m / V = 238 x 1.66 x 10 -27 / (1.73 x 10 -42) = 2.3 x 1017 kg / m3.
• Thus, the concentration of nuclear material is 2.10 times more than that of water.
• It's too crowded.