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Question

Physics Question on Radioactivity

How many alpha and beta particles are emitted when Uranium 92U238 decays to lead 82Pb206

A

3 alpha particles and 5 beta particles

B

6 alpha particles and 4 beta particles

C

4 alpha particles and 5 beta particles

D

8 alpha particles and 6 beta particles

Answer

8 alpha particles and 6 beta particles

Explanation

Solution

92238U2082Pb+x24He+y(01e)¸\c{^{238}_{92}U \rightarrow ^{82}_{20}Pb + x^4_2He + y(^{-1}_0e)}

206+4x=238(1)206 + 4x = 238 …(1)
and 82+2xy=92(2)82 + 2x – y = 92 …(2)
⇒$$ x = 8 and y=6y = 6