The binding energy of deuteron _1^2H is 1.112 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The binding energy of a nucleus is given by the product of the number of nucleons and the binding energy per nucleon.For the reactant,two deuteron

Vedclass · Accepted Answer

$23.8$

Vedclass · Answer

(C) The binding energy of a nucleus is given by the product of the number of nucleons and the binding energy per nucleon.For the reactant,two deuterons $(1^2H)$ are involved. Each deuteron has $2$ nucleons.Total binding energy of two deuterons $= 2 	imes (2 	imes 1.112 \, MeV) = 4 	imes 1.112 \, MeV = 4.448 \, MeV$.For the product,one $\alpha$-particle $(2^4He)$ is formed. It has $4$ nucleons.Total binding energy of one $\alpha$-particle $= 4 	imes 7.047 \, MeV = 28.188 \, MeV$.The energy released $Q$ in the fusion reaction is the difference between the total binding energy of the products and the total binding energy of the reactants.$Q = 28.188 \, MeV - 4.448 \, MeV = 23.74 \, MeV$.Rounding to the nearest provided option,$Q \approx 23.8 \, MeV$.

The binding energy of deuteron $_1^2H$ is $1.112 \, MeV$ per nucleon and an $\alpha$-particle $_2^4He$ has a binding energy of $7.047 \, MeV$ per nucleon. Then in the fusion reaction $_1^2H + _1^2H \to _2^4He + Q$,the energy $Q$ released is ........ $MeV$.

Similar Questions

In a nuclear reactor, the main purpose of the moderator is to

Nuclear fission is possible because the binding energy per nucleon ..........

Suppose we think of the fission of a $^{56}_{26} Fe$ nucleus into two equal fragments,$^{28}_{13} Al$. Is the fission energetically possible? Argue by working out the $Q$-value of the process.
Given: $m(^{56}_{26} Fe) = 55.93494 \; u$ and $m(^{28}_{13} Al) = 27.98191 \; u$.

The operation of a nuclear reactor is said to be critical when the value of the neutron multiplication factor $K$ is:

Which nuclear process occurs in a hydrogen bomb? Or,state the principle of a hydrogen bomb.

Vedclass Test Series

Exam Paper Generator

Online Exam Module