The mass number and the volume of a nucleus is M and V, respectively. If the mass number is increased to 2M, then the volume is changed to

Question

Accepted Answer

Correct answer: C. (c) Radius of nuclei is given by R=R_0A^1/3 ⇒R ∝A^ 13 … … (i ) where, R_0 is radius of nucleus and A is mass number. Since, volume V= 43 R^3 … . ( ii ) ⇒R ∝ (V )^1/3 Now, from Eqs. (i) and (ii), we get R ∝A^1/3 ∝V^1/3 ⇒A ∝V ⇒ A_1A_2= V_1V_2 ⇒ M_1M_2= V_1V_2 SupposeM_1=M andM_2=2M ⇒ M2M= VV_2 ⇒V_2=2V

$The mass number and the volume of a nucleus is M and V, respectively. If the mass number is increased to 2 M, then the volume is changed to$

Solution

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