NCERT Class XII Chapter
Nuclei
Questions With Solutions

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Question : 20
Total: 31
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 × 1015 m
charge of each deuteron, e = 1.6 × 1019 C
Potential energy
=
e2
4πε0r
=
9×109(1.6×1019)2
4×1015
joule =
9×1.6×1.6×1014
4×1.6×1016
keV
P.E. = 360 keV or P.E. = 2 × K.E. of each deuteron = 360 keV
∴ K.E. of each deuteron =
360
2
= 180 keV.
This is a measure of height of Coulomb barrier.
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