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A 7Li target is bombarded with a proton beam current of 10−4 A
Question

A 7Li target is bombarded with a proton beam current of 10−4 A for 1 hour to produce 7Be of activity 1.8×108 disintegrations per second. Assuming that one 7Be radioactive nucleus is produced by bombarding 1000 protons, determine its half-life.

A
8.6×106s

B
4.2×105s

C
3.1×105s

D
1.1×106s

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A 7Li target is bombarded with a proton beam current of 10−4 A for 1 hour to produce 7Be of activity 1.8×108 disintegrations per second. Assuming that one 7Be radioactive nucleus is produced by bombarding 1000 protons, determine its half-life.
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[a] The total number of protons bombarded =itλ=10−4×36001.6×10−19=22.5×1017 Number of 7Be produced N=22.5×10171000=22.5×1014 We know that activity A=λN or A=(0.693t1/2)N ∴t1/2=0.693NA=0.693×22.5×10141.8×108 =8.63×106s
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Question Text
A 7Li target is bombarded with a proton beam current of 10−4 A for 1 hour to produce 7Be of activity 1.8×108 disintegrations per second. Assuming that one 7Be radioactive nucleus is produced by bombarding 1000 protons, determine its half-life.
Answer TypeText solution:1
Upvotes150