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Nuclear radius R has a dependence on the mass number (A) as R =1.3 × 10-16 A1/3 m. For a nucleus of mass number A = 125, obtain the order of magnitude of R expressed in metre.

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Question

Solve the numerical example.

Nuclear radius R has a dependence on the mass number (A) as R =1.3 × 10-16 A1/3 m. For a nucleus of mass number A = 125, obtain the order of magnitude of R expressed in the meter.

Numerical
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Solution

R = 1.3 × 10-16 × A1/3 m

For A = 125

R = 1.3 × 10-16 × (125)1/3

= 1.3 × 10-16 × (53)1/3

= 1.3 × 10-16 × 5

= 6.5 × 10-16

= 0.65 × 10-15 m

∴ Order of magnitude = - 15

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Chapter 1: Units and Measurements - Exercises [Page 14]

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Balbharati Physics [English] Standard 11 Maharashtra State Board
Chapter 1 Units and Measurements
Exercises | Q 3. v) | Page 14

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