The rest energy of an electron is 0.511 MeV. The electron is accelerated from rest to a velocity 0.5 c. The change in its energy will be
(1) 0.026 MeV           

(2) 0.051 MeV

(3) 0.079 MeV           

(4) 0.105 MeV

Subtopic:  Mass-Energy Equivalent |
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For uranium nucleus how does its mass vary with volume

(1) mV          

(2) m1/V

(3)  mV       

(4) mV2

Subtopic:  Types of Decay |
 72%
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In the nuclear fusion reaction H12+H13He24+n given that the repulsive potential energy between the two nuclei is -7.7×10-14 J, the temperature at which the gases must be heated to initiate the reaction is nearly
[Boltzmann’s constant k=1.38×10-23 J/K)
(a)109 K            (b) 107 K
(c) 105 K           (d)  103 K

Subtopic:  Mass-Energy Equivalent |
 63%
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A nucleus with mass number 220 initially at rest emits an α-particle. If the Q value of the reaction is 5.5 MeV, calculate the kinetic energy of the α-particle

(1) 4.4 MeV             

(2) 5.4 MeV

(3) 5.6 MeV             

(4) 6.5 MeV

Subtopic:  Types of Decay |
 70%
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The half life of radioactive Radon is 3.8 days. The time at the end of which 1/20 th of the Radon sample will remain undecayed is
(Given log10e=0.4343
(a) 3.8 days               (b) 16.5 days
(c) 33 days                (d) 76 days

Subtopic:  Radioactivity (OLD NCERT) |
 78%
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If 10% of a radioactive material decays in 5 days, then the amount of original material left after 20 days is approximately
(1) 60%             

(2) 65%

(3) 70%             

(4) 75%

Subtopic:  Radioactivity (OLD NCERT) |
 62%
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A radioactive isotope X with a half-life of 1.37×109 years decays to Y which is stable. A sample of rock from the moon was found to contain both the elements X and Y which were in the ratio of 1 : 7. The age of the rock is
(a) 1.96×108 years         (b) 3.85×109 years
(c) 4.11×109years          (d) 9.59×109 years

Subtopic:  Radioactivity (OLD NCERT) |
 75%
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From a newly formed radioactive substance (Half-life 2 hours), the intensity of radiation is 64 times the permissible safe level. The minimum time after which work can be done safely from this source is:
1. 6 hours           
2. 12 hours
3. 24 hours         
4. 128 hours

Subtopic:  Radioactivity (OLD NCERT) |
 82%
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The half-life of radium is 1620 years and its atomic weight is 226 kg per kilo mol. The number of atoms that will decay from its 1 gm sample per second will be:

(1) 3.61×1010    

(2) 3.6×1012

(3) 3.11×1015     

(4) 31.1×1015

(Avogardo's number N = 6.02×1026 atoms/mol)

Subtopic:  Radioactivity (OLD NCERT) |
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A radioactive material decays by simultaneous emission of two particles with respective half lives 1620 and 810 years. The time (in years) after which one- fourth of the material remains is 
(a) 1080         (b) 2430
(c) 3240         (d) 4860

Subtopic:  Radioactivity (OLD NCERT) |
 51%
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