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Nuclear radius, volume or surface area from the mass number (R proportional to A to the power 1/3)

This type of question, asked 6 times: 25 Jan 2023, 11 Apr 2023, 31 Jan 2024, 1 Feb 2024, 28 Jan 2026 S1, 28 Jan 2026 S2. All 7 questions below, oldest first.

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  1. Question 1

    25 Jan 2023

    113
    A nucleus disintegrates into two smaller parts, which have their velocities in the ratio 3:23:2. The ratio of their nuclear sizes will be (x3)13\left( \frac{x}{3} \right)^{\frac{1}{3}}. The value of ' xx ' is: -

  2. Question 2

    11 Apr 2023

    113
    A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is 1:21/31:2^{1/3}. Their respective speed have a ratio of n:1n:1. The value of nn is___

  3. Question 3

    31 Jan 2024

    105
    The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is:

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  4. Question 4

    31 Jan 2024

    120
    A nucleus has mass number A1A_{1} and volume V1V_{1}. Another nucleus has mass number A2A_{2} and volume V2V_{2}. If relation between mass number is A2=4A1A_{2}= 4A_{1}, then V2V1=\frac{V_{2}}{V_{1}}= ______

  5. Question 5

    1 Feb 2024

    25
    The radius of a nucleus of mass number 64 is 4.8 fermi. Then the mass number of another nucleus having radius of 4 fermi is 1000x\frac{1000}{x}, where xx is ______ .

  6. Question 6

    28 Jan 2026 S1

    6
    An atom  38X\ _{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 nucleus is recorded by :

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  7. Question 7

    28 Jan 2026 S2

    1
    A nucleus has mass number α\alpha and radius RαR_{\alpha} Another nucleus has mass number β\beta and radius RβR_{\beta}. If β=8α\beta= 8\alpha then Rα/RβR_{\alpha}/R_{\beta} is :

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