Question 11 Mark
Suppose the magnitude of Nuclear force between two protons varies with the distance between them as shown in figure. Estimate the ratio "Nuclear force/Coulomb force" for:
- x = 8fm
- x = 4fm
- x = 2fm
- x = 1fm (1fm = 10-15m).
Answer
View full question & answer→First let us calculate the coulomb force between 2 protons for distance:
- x = 8fm
F = K q2r2 = 9 × 109 × (1.6 × 10 - 19)2(8 × 10 - 15)
= 3.6NFN
= 0.05 NFNFC = 0.053.6 = 0.0138 N
- x = 4fm
FC = 9 × 109 × (1.6 × 10 - 19)2(4 × 10 - 15)
= 23.04 × 10 - 29(4 × 10 - 15) = 14.4NF
= 1NFNFC = 114.4 = 0.0694N
- x = 2fm
FC = 9 × 109 × (1.6 × 10 - 19)2(2 × 10 - 15)
= 57.6 NFN = 10 NFNFC = 1057.6 =0.173
- x = 1fm
FC = 9 × 109 × (1.6 × 10 - 19)2(1 × 10 - 15)2
= 230.4 NFN = 1000 NFNFC = 1000230.4 = 4.34