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Polonium ${}_{84}P o^{210}$ emit $α$ particles and is converted into ${}_{82}P b^{206}$ . This reaction is used for producing electric power in a space mission. $P o^{210}$ has half life of $138.6$ days. A ssuming an efficiency of $10 %$ Select the correct statement(s)
Given $M (P o^{210}) = 209.98264 a m u$ ; $M (α) = 4.0026 a m u$ $M (P b^{206}) = 205.97440 a m u; 1 a m u = 931 M e V$ energy

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None of these is correct

$10 g$ $P o^{210}$ is required to produce $1.2 \times 10^{7}$ Joule energy

$Q$ value of $α$ decay process is $8.4 \times 10^{- 13} J$

Decay constant of $P o^{210}$ is $0.005 d a y^{- 1}$

answer is A, B, C.

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Detailed Solution

$Q = [M (P o^{210}) - M (P b^{206}) - M (α)] 931 M e V λ = \frac{0.693}{T_{1 / 2}}$

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