MHT CET202211 Aug 2022Morning ShiftPhysicsNuclear PhysicsActual
Activity of a radioactive sample decreases to ( 1 3 )^ r d of its original value in 3 days. Then in 9 days its activity reduces to
Options
- A( 1 18 ) of the original value
- B( 1 9 ) of the original value
- C( 1 27 ) of the original value
- D( 1 3 ) of the original value
Correct answer
C. ( 1 27 ) of the original value
Step-by-step solution
Activity after time t given that half-life is T : A= A₀ 2^ t / T A₀ 3 = A₀ 2^ 3 / T Activity in 9 days, A= A₀ 2^ t / T = A₀ 2^ 9 / T = A₀ (2^ 3 / T )^3 = A₀ 27