AP EAMCET202021 Sep 2020Evening ShiftPhysicsNuclear PhysicsActual
The half-life of a radioactive sample is (T ). The fraction of the initial mass of the sample that decays in an interval (T / 2 ) is
Options
- A( 1 2 )
- B( 2 )
- C( ( 2 -1) 2 )
- D( ( 2 +1) 2 )
Correct answer
A. ( 1 2 )
Step-by-step solution
Fraction remains after (n ) half-lives is given as ( N N₀ = ( 1 2 )^n= ( 1 2 )^ t / T ) [where, (T ) is half-life] ( N N₀ = ( 1 2 )^ t T ) Given, ( t= T 2 ) ( N N₀ = ( 1 2 )^ T / 2 T = ( 1 2 )^ 1 2 = 1 2 )