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Question: The half life period of a radioactive substance is 140 days. After how much time, 15 gm will decay f...

The half life period of a radioactive substance is 140 days. After how much time, 15 gm will decay from a 16 gm sample of the substance?–

A

140 days

B

560 days

C

420 days

D

280 days

Answer

560 days

Explanation

Solution

= 1gm16gm\frac { 1 \mathrm { gm } } { 16 \mathrm { gm } } = (12)4\left( \frac { 1 } { 2 } \right) ^ { 4 } = (12)tT\left( \frac { 1 } { 2 } \right) ^ { \frac { \mathrm { t } } { \mathrm { T } } } Ž t = 4T = 4×140 days

= 560 days