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PhysicsMediumNumerical2015 · 11 Apr Online

Q29.Let Nβ be the number of β particle emitted by 1 gram of Na24 radioactive nuclei having a half life of 15 h. In 7. 5 h, the number Nβ is close to [NA = 6 .023 ×1023 mole−1] (1) 1.75 × 1022 (2) 6.2 × 1021 (3) 7.5 × 1021 (4) 1.25 × 1022

What This Question Tests

This problem involves calculating the number of undecayed atoms after a certain time using the half-life and then relating it to the number of emitted beta particles by finding the difference from the initial number of atoms.

Concepts Tested

Radioactive decay lawHalf-lifeNumber of atomsAvogadro's number

Formulas Used

N = N₀ (1/2)^(t/T₁/₂)

Number of moles = mass/molar mass

Number of atoms = moles * N_A

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