A 300 gram radioactive sample has half life of 3 hours. After 18 hours remaining quantity will be :

A 300 gram radioactive sample has half life of 3 hours. After 18 hours remaining quantity will be :
A 4.68 gram
B 2.34 gram
C 3.34 gram
D 9.37 gram

Detailed Solution

Number of half lives: $n = \dfrac{18}{3} = 6$
Remaining amount $= \dfrac{N_0}{2^n} = \dfrac{300}{2^6} = \dfrac{300}{64}$
$= 4.6875 \approx 4.68$ g

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Practise Radioactive Decay as First Order Process All 3 questions This chapter in 2000 AIPMT