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PhysicsMediumMCQ2016 · 03 Apr

Q24.Half-lives of two radioactive elements A and B are 20 minutes and 40 minutes, respectively. Initially, the samples have an equal number of nuclei. After 80 minutes, the ratio of decayed numbers of A and B nuclei will be: (1) 1 : 4 (2) 5 : 4 (3) 1 : 16 (4) 4 : 1

What This Question Tests

This question involves calculating the number of decayed nuclei for two different radioactive elements after a certain time, using their respective half-lives and initial equal number of nuclei.

Concepts Tested

Radioactive decayHalf-lifeNumber of undecayed nucleiNumber of decayed nuclei

Formulas Used

N = N₀ (1/2)^(t/T_½)

N_decayed = N₀ - N

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