Radium ({ }_{88} {Ra}^{226}) decays by emitting an \alpha -particle into {Rn}^{222} with a half life of 1620 years, which then decays into {Po}^{218} by emitting another \alpha -particle with a half life of 3.82 days. The ratio of {Ra}^{226} to {Rn}^{222} nuclei in a sample when {Rn} is in radioactive equilibrium:

Correct Answer is : 1.55×105:1

JEE Advanced 2020 Full Test 1 Paper 2

Question : 5 of 54

Marks: +1, -0

Radium (‌88Ra226) decays by emitting an α -particle into Rn222 with a half life of 1620 years, which then decays into Po218 by emitting another α -particle with a half life of 3.82 days. The ratio of Ra226 to Rn222 nuclei in a sample when Rn is in radioactive equilibrium:

1: 1
1.55×105:1
1.78×105:1
1.63×105:1

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