NEET Practice Questions (MCQs) with Answers & Solutions

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The half-life of a radioactive substance is 40 years. How long will it take to reduce to one fourth of its original amount and what is the value of decay constant 

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Explanation

(c) To reduce one fourth it takes time t=2(T1/2) = 2×40
= 80 years.
Decay constant λ=0.693T1/2=0.69340=0.0173 years

A radioactive material has a half life of 10 days. What fraction of the material would remain after 30 days

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Explanation

(c) N=N012tT1/2NN0=123010=18=0.125

Starting with a sample of pure Cu6678 of it decays into Zn in 15 min. The corresponding half-life is 

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Explanation

(a) 78 part decays i.e. remaining part is 18

N=N012tT1/218=1215T1/2T1/2=5 min

A radioactive material has a half-life of 8 years. The activity of the material will decrease to about 1/8 of its original value in 

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Explanation

(d) AA0=12t/T1/218=12t/8t=24 years

A nucleus of mass 218 amu in free state decays to emit an α-particle. Kinetic energy of the α-particle emitted is 6.7 MeV. The recoil energy (in MeV) of the daughter nucleus is

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Explanation

(d) Using conservation of momentum Pdaughter=Pα
EdEα=mαmdEd=Eα×mαmd=6.7×4214=0.125 MeV

C14 has half life 5700 years. At the end of 11400 years, the actual amount left is  

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Explanation

(b) N=N0×1211400/5700=N0122=0.25 N0

Mean life of a radioactive sample is 100 seconds. Then its half life (in minutes) is

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Explanation

(d) Mean life (T) = 1/λ = 100 second
Half-life = 0.693λ=0.693×10060=1.155 min 

A86222B84210. In this reaction how many α and β particles are emitted 

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Explanation

(b) By using nα=A-A'4 and nβ=2nα-Z+Z'

The phenomenon of radioactivity is 

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Explanation

(c) The phenomenon of radioactivity does not depend on external factos.

If half life of radium is 77 days. Its decay constant in day will be

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Explanation

(b) λ=0.693T1/2=0.69377=9×10-3/day

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