Atoms And Nuclei Question 212

Question: 200 MeV of energy may be obtained per fission of $ U^{235} $ . A reactor is generating 1000 kW of power. The rate of nuclear fission in the reactor is [MP PET 1995]

Options:

A) 1000

B) $ 2\times 10^{8} $

C) $ 3.125\times 10^{16} $

D) 931

Show Answer

Answer:

Correct Answer: C

Solution:

Power
$ \Rightarrow {{( \frac{1}{2} )}^{4}}={{( \frac{1}{2} )}^{t/48}}\Rightarrow t=192\ hour. $ Rate of nuclear fission $ =\frac{10^{6}}{200\times 1.6\times {{10}^{-13}}} $ = 3.125 ´ 1016.



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