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Q.

The half-life of 238U for α-decay is 4.5×109 years. The number of disintegrations per second occur in 1 g of 238U is(Avogadro’s number = 6.023×1023mol-1 )

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a

1.532×104 s-1

b

1.325×104 s-1

c

1.412×104 s-1

d

1.235×104 s-1

answer is D.

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Detailed Solution

dNdt=λN    N=6×1023236×m    and   λ=0.693T12
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