A nucleus with Z-92- emits the following in a sequence- - - - - - - The Z of the resulting nucleus is -

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Gamma Decay

A nucleus wit...

Question

A nucleus with $Z = 92$ , emits the following in a sequence, $α, β^{-}, β^{-}, α, α, α, α, α, β^{-},$ $β^{-}, α, β^{+}, β^{+}, α$ . The $Z$ of the resulting nucleus is ______.

Open in App

Solution

There are $8 α$ emission, $4 β^{-}$ emission and $2 β^{+}$ emission.

Each $α$ emission decreases $Z$ by $2$ .

Each $β^{-}$ emission increases $Z$ by $1$ .

Each $β^{+}$ emission decreases $Z$ by $1$ .

$\Rightarrow Z^{^{'}} = Z - 8 (2) + 4 - 2 = 92 - 14$

$\Rightarrow Z^{^{'}} = 78$

$∴ Correct answer : 78$

Why this Question?
This problem involves $3$ types of particle emission and gives the better understanding of $α, β^{-} and β^{+}$ decay.

Suggest Corrections

Similar questions

Q. A nucleus with

Z = 92

emits the following in a sequence

α, α, β^{-}, β^{-}, α, α, α, α, β^{-}, β^{-}, α, β^{+}, β^{+}, α

. The

Z

of the resulting nucleus is

Q. A nucleus with

Z = 92

emits the following in a sequence:

α, α, β^{-}, β^{-}, α, α, α, α; β^{-}, β^{-}, α, β^{+}, β^{+}, α

. The

Z

of the resulting nucleus is

Q. A nucleus with Z = 92 emits the following in a sequence:

α, β^{-}, β^{-}, α, α, α, α, α, β^{-}, β^{-}, α, β^{+}, β^{+}, α,

The Z of the resultant nucleus is [AIEEE-2003]

Q. A nucleus with

Z = 92

emits the following in a sequence :

α, β -, β -, α, α, α, α, α, β -, β -, β +, α, β +, α

The

Z

of the resulting nucleus is

A nucleus with Z = 92 emits the following in a sequence: $α, β^{-}, β^{-}, α, α, α, α, α, β^{-}, β^{-}, α, β^{+}, β^{+}, α,$ The Z of the resultant nucleus is

Join BYJU'S Learning Program

A nucleus with Z=92, emits the following in a sequence, α,β−,β−,α,α,α,α,α,β−, β−,α,β+,β+,α. The Z of the resulting nucleus is ______.

A nucleus with $Z = 92$ , emits the following in a sequence, $α, β^{-}, β^{-}, α, α, α, α, α, β^{-},$ $β^{-}, α, β^{+}, β^{+}, α$ . The $Z$ of the resulting nucleus is ______.