Nuclei · Question 22

A radioactive X with a half life 1.4 109 years decays to Y which is stable. A sample of the rock from a cave was found to contain X and Y in the ratio 1 : 7. The age of the rock is

1. 1.96 109 years
2. 3.92 109 years
3. 4.20 109 years
4. 8.40 109 years

A certain mass of Hydrogen is changed to Helium by the process of fusion. The mass defect in fusion reaction is 0.02866 u. The energy liberated per u is (given 1 u = 931 MeV)

1. 6.675 MeV
2. 13.35 MeV
3. 2.67 MeV
4. 26.7 MeV

The half life of a radioactive isotope 'X' is 20 years. It decays to another element 'Y' which is stable. The two elements 'X' and 'Y' were found to be in the ratio 1 : 7 in a sample of a given rock. The age of the rock is estimated to be

1. 80 years
2. 100 years
3. 40 years
4. 60 years

How does the Binding Energy per nucleon vary with the increase in the number of nucleons ?

1. Decreases continuously with mass number.
2. First decreases and then increases with increase in mass number.
3. First increases and then decreases with increase in mass number.
4. Increases continuously with mass number.

-particles, -particles and -rays are all having same energy. Their penetrating power in a given medium in increasing order will be

1. , ,
2. , ,
3. , ,
4. , ,

The half life of a radioactive nucleus is 50 days. The time interval (t2 - t1) between the time t2 when 23 of it has decayed and the time t1 when 13 of it had decayed is

1. 30 days
2. 50 days
3. 60 days
4. 15 days

If the nuclear radius of 27Al is 3.6 fermi, the approximate nuclear radius of 64Cu in fermi is

1. 2.4
2. 1.2
3. 4.8
4. 3.6

A mixture consists of two radioactive materials A1 and A2 with half lives of 20 s and 10 s respectively. Initially the mixture has 40 g of A1 and 160 g of A2. The amount of the two in the mixture will become equal after

1. 60 s
2. 80 s
3. 20 s
4. 40 s

Two radioactive nuclei P and Q, in a given sample decay into a stable nucleus R. At time t = 0, the number of P species is 4N0 and that of Q is N0. Half-life of P (for conversion to R) is 1 minute whereas that of Q is 2 minutes. Initially there are no nuclei of R present in the sample. When number of nuclei of P and Q are equal, the number of nuclei of R present in the sample would be

1. 2N0
2. 3N0
3. 9N02
4. 5N02

The power obtained in a reactor using 235U disintegration is 1000 kW. The mass decay of 235U per hour is

1. 10 microgram
2. 20 microgram
3. 40 microgram
4. 1 microgram