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PhysicsMediumNumerical2022 ยท 24 Jun Shift 2

Q28.A sample contains 10โˆ’2 kg each of two substances A and B with half lives 4 s and 8 s respectively. The ratio of their atomic weights is 1 : 2 . The ratio of the amounts of A and B after 16 s is 100x . The value of x is _____ .

What This Question Tests

This question involves calculating the remaining mass of two radioactive substances after a given time, considering their half-lives and initial masses, then determining the ratio of their amounts (masses).

Concepts Tested

Radioactive decayHalf-lifeAmount remaining after decayMolar mass and number of atoms

Formulas Used

N = N0 * (1/2)^(t/T)

Number of moles = mass / molar mass

Number of atoms = number of moles * Avogadro's number

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