The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is

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Solution

Q.
The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is [2024]

1 24

2 32

3 40

4 20

Ans.
(1)

$R_{1} = \frac{R_{2}}{2}$

$R_{0} {(A_{1})}^{1 / 3} = \frac{R_{0}}{2} {(A_{2})}^{1 / 3}$

$A_{1} = \frac{1}{8} A_{2}$

$A_{1} = \frac{192}{8} = 24$

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