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JEE Main20241 Feb 2024Morning ShiftPhysicsNuclear PhysicsActual

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 1000 x , where x is _________.

Correct answer

0

Step-by-step solution

Radius of a nucleus is given by, R = R 0 A 1 / 3 . Therefore, R 3 ∝ A ⇒ 4 . 8 4 3 = 64 A ⇒ 64 A = ( 1 . 2 ) 3 ⇒ 64 A = 1 . 44 × 1 . 2 ⇒ A = 64 1 . 44 × 1 . 2 = 1000 x ⇒ x = 144 × 12 64 = 27

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