An atom is bombarded by shower of fundamental particles and in 10 s this atom absorbed 10 electrons, 10 protons and 9 neutrons. The percentage growth in the surface area of the nucleons is recorded b

Question

An atom ${}_{3}^{8}X$ is bombarded by shower of fundamental particles and in 10 s this atom absorbed 10 electrons, 10 protons and 9 neutrons. The percentage growth in the surface area of the nucleons is recorded by: [2026]

Smart Achievers · Accepted Answer

(4)

$Surface area x \propto A^{2 / 3}$

$X_{i} = 8^{2 / 3} K = 4 K$

$X_{f} = {(8 + 10 + 9)}^{2 / 3} K = 9 K$

$% increase in surface area of nucleus$

$x_{i} = \frac{9 K - 4 K}{4 K} \times 100 = 125 %$

Solution

Q.
An atom ${}_{3}^{8}X$ is bombarded by shower of fundamental particles and in 10 s this atom absorbed 10 electrons, 10 protons and 9 neutrons. The percentage growth in the surface area of the nucleons is recorded by: [2026]

1 900%

2 250%

3 225%

4 None of these

Ans.
(4)

$Surface area x \propto A^{2 / 3}$

$X_{i} = 8^{2 / 3} K = 4 K$

$X_{f} = {(8 + 10 + 9)}^{2 / 3} K = 9 K$

$% increase in surface area of nucleus$

$x_{i} = \frac{9 K - 4 K}{4 K} \times 100 = 125 %$

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