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Consider the nuclear fission {Ne}^{20} 2 {He}^{4}+{C}^{12} Gi

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Medium

Solving time: 3 mins

Consider the nuclear fission
$Ne^{20} ⟶ 2 He^{4} + C^{12}$
Given that the binding energy/nucleon of $Ne^{20}, He^{4}$ and $C^{12}$ are respectively, 8.03 MeV, 7.07 MeV and $7.86 MeV$ , identify the correct statement.
(a) Energy of $3.6 MeV$ will be released.
(b) Energy of $12.4 MeV$ will be supplied.
(c) $8.3 MeV$ energy will be released.
(d) Energy of $11.9 MeV$ has to be supplied.

Views: 5,900 students

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2019

Text solutionVerified

Exp. (*)
Energy absorbed or released in a nuclear reaction is given by;

Δ Q =

Binding energy of products
- Binding energy of reactants.
If energy is absorbed,

Δ Q

is negative and if it is positive then energy is released. Also, Binding energy

=

Binding energy per nucleon

\times

Number of nucleons.
Here, binding energy of products

= 2 \times

( B.E . of

He^{4}

)+(B.E.of

C^{12}

)

= 2 (4 \times 7.07) + (12 \times 7.86)

= 150.88 MeV

and binding energy of reactants
=

20 \times 8.03 = 160.6 MeV

So,

Δ Q = (B . E .)_{p ro d u c t s} - (B . E .)_{re a c t an t s}

= 150.88 - 160.6 = - 9.72 MeV

.
As

Δ Q

is negative

∴

energy of

9.72 Mev

is absorbed in the reaction.

∴

No option is correct.

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Levi Discussed

Consider the nuclear fission

Ne^{20} ⟶ 2 He^{4} + C^{12}

Given that the binding energy/nucleon of

Ne^{20}, He^{4}

and

C^{12}

are respectively, 8.03 MeV, 7.07 MeV and

7.86 MeV

, identify the correct statement.
(a) Energy of

3.6 MeV

will be released.
(b) Energy of

12.4 MeV

will be supplied.
(c)

8.3 MeV

energy will be released.
(d) Energy of

11.9 MeV

has to be supplied.

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Question Text	Consider the nuclear fission $Ne^{20} ⟶ 2 He^{4} + C^{12}$ Given that the binding energy/nucleon of $Ne^{20}, He^{4}$ and $C^{12}$ are respectively, 8.03 MeV, 7.07 MeV and $7.86 MeV$ , identify the correct statement. (a) Energy of $3.6 MeV$ will be released. (b) Energy of $12.4 MeV$ will be supplied. (c) $8.3 MeV$ energy will be released. (d) Energy of $11.9 MeV$ has to be supplied.
Topic	Nuclei
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	75

Text solutionVerified

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