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At a given instant, say t = 0, two radioactive substance A and B have equal activities.  The ratio   of their activities after time t itself decays with time t as e−34 .  If the half-life of A is m2 , the half-life of B is

a.

 

b.

2ln2

c.

 

d.

4ln2



Question ID - 50110 | SaraNextGen Top Answer

At a given instant, say t = 0, two radioactive substance A and B have equal activities.  The ratio   of their activities after time t itself decays with time t as e−34 .  If the half-life of A is m2 , the half-life of B is

a.

 

b.

2ln2

c.

 

d.

4ln2

1 Answer
127 votes
Answer Key / Explanation : (c) -

Half life of A = ln2

t1/2 =       

λA = 1

at  t = 0 RA = RB   

Ne−λAT = NB e−λBT

N= NB     at  t = 0

at t = t            =

  = e−t

λB−λA = 3

λB= 3 + λA = 4

t1/2 =     = 

127 votes


127