If the radius of a nucleus with mass number 125 is 1.5 fm , then the radius of a nucleus with mass number 64 is

Question

If the radius of a nucleus with mass number 125 is 1.5 fm , then the radius of a nucleus with mass number 64 is, 0.48 fm, 0.96 fm, 1.92 fm, 1.2 fm

MARKS App · Accepted Answer

By Rutherford's experiment R 1 = R 0 A 1 1 3 .....(i) R 2 = R 0 A 2 1 3 ......(ii) Given, R 1 = 1.5 fm A 1 = 125 A 2 = 64 Now, R 1 R 2 = A 1 A 2 1 3 [from the equation (i) and (ii)] 1.5 R 2 = 125 64 1 3 ⇒ 1.5 R 2 = 5 4 ⇒ R 2 = 1.5 × 4 5 = 0.3 × 4 = 1.2 fm

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