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Question: The half life of radium is 1600 years. The fraction of a sample of radium that would remain after 64...

The half life of radium is 1600 years. The fraction of a sample of radium that would remain after 6400 years is-

A

2/4

B

1/2

C

1/8

D

1/16

Answer

1/16

Explanation

Solution

= where n = t/T

here, n = 64001600\frac { 6400 } { 1600 } = 4

so, = (12)4\left( \frac { 1 } { 2 } \right) ^ { 4 } = 116\frac { 1 } { 16 }