MHT CET202415 May 2024Morning ShiftPhysicsNuclear PhysicsActual
A radioactive substance has half-life of 60 minute. During 3 hour, the amount of substance decayed would be
Options
- A8.5 %
- B12.5 %
- C25 %
- D87.5 %
Correct answer
D. 87.5 %
Step-by-step solution
aligned & N=N₀ ( 1 2 )^ t T₁ / 2 & N N₀ & ( 1 2 )^ t T₁ / 2 aligned array ll & N ~N ₀ = ( 1 2 )^ 3 60 60 = ( 1 2 )^3 & & ~N ~N ₀ = 1 8 array The amount of substance decayed =1- N N₀ 1- N ~N ₀ =1- 1 8 = 7 8 =87.5 %