JEE Main 2022 (29th July – Evening Shift) Online

Assuming 1 microgram of trace radioactive element X with a half life of 30 years is absorbed by a growing tree. The amount of X remaining in the tree after 100 years is___×10^-1microgram.
[Given : ln 10 = 2.303; log2 = 0.30]

Sucrose hydrolyses in acid solution into glucose and fructose following first order rate law with
a half-life of 3.33 h at 25°C. After 9 h, the fraction of sucrose remaining is f. The value of is _______ × 10^-2 . (Rounded off to the nearest integer).
[Assume : ln 10 = 2.303, ln 2 = 0.693]