Test Index

NCERT Class XII Chapter
Nuclei
Questions With Solutions

© examsnet.com
Question : 20 of 31
Marks: +1, -0
Calculate the height of potential barrier for a head-on collision of two deuterons. The effective radius of deuteron can be taken to be 2 fm.
Solution:  
For head on collision, distance between centres of two deuterons
= r = 2 × radius ⇒ r = 4 fm = 4 × 10−1510^{-15} m
charge of each deuteron, e = 1.6 × 10−1910^{-19} C
Potential energy
= e24πϵ0r\frac{e^2}{4\pi\epsilon_0 r} = 9×109(1.6×10−19)24×10−15\frac{9 \times 10^9 (1.6 \times 10^{-19})^2}{4 \times 10^{-15}} joule = 9×1.6×1.6×10−144×1.6×10−16\frac{9 \times 1.6 \times 1.6 \times 10^{-14}}{4 \times 1.6 \times 10^{-16}} keV
P.E. = 360 keV or P.E. = 2 × K.E. of each deuteron = 360 keV
∴ K.E. of each deuteron = 3602\frac{360}{2} = 180 keV.
This is a measure of height of Coulomb barrier.
© examsnet.com
Go to Question: