Energy released in Radioactive decay process X → Y + y is g…

Physics Ray Optics Mix MCQ (Single Correct)

Energy released in Radioactive decay process

X → Y + y

is given as –

Rest energy of Y and y minus rest energy of (X)

Sum of Binding energy of Y and y minus binding of X

Rest energy of X minus sum of rest energy of Y and y

Binding energy of X minus sum of binding energy of Y and y

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(b, c)

Conservation of energy gives

m X c 2 + K.E X = m Y c 2 + K.E Y + m y c 2 + K.E y

Q = (m X c 2 – m Y c 2 – m y c 2 ) = K.E y + K.E Y – K.E X

as 'X' is at rest

∴ Q ≡ Energy released is

Q = (m X c 2 – m Y c 2 – m y c 2 ) = K.E Y + K.E y

Q (energy released) is rest energy of X minus rest energy of Y and y.

* When binding energy of products is more than binding energy of initial nucleus then energy is released

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