Byju's Answer

Standard VI

Biology

Cell Division and Functions

Two radioacti...

Question

Two radioactive nuclei P and Q in a given sample decay into a stable nucleus R. At time t = 0, number of P species are 4N0 and that of Q are 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 :

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Q. Two radioactive nuclei

P

and

Q

, in a given sample decay into a stable nucleous

R

. At time

t = 0

, number of

P

species are

4 N_{0}

and that of

Q

are

N_{0}

. Half-life of

P

(for conversion to

R

) is 1 minute where as 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

Q. A radioactive sample has a half-life of

10

minutes. If

64

nuclei are contained in the sample the number of nuclei that would decay after

50

minutes is:

Q. Nuclei A and B convert into a stable nucleus C. Nucleus A is converted into C by emitting 2

α

-particles and 3

β

- particles whereas, nucleus B is converted into C by emitting 1

α

- particle and 5

β

- particles. At time

t = 0

, nuclei of A are

4 N_{0}

and nuclei of B are

N_{0}

. Initially, the number of nuclei of C are zero. Half-life of A and B (into conversion of C) is 1 min and 2 min respectively. The time (in minutes) at which the rates of disintegration of A and B are equal is

Q. Nuclei A and B convert into a stable nucleus C. Nucleus A is converted into C by emitting 2

α -

particles and

3 β -

particles. Nucleus B is converted into C by emitting one

α - p a r t i c l e

and 5

β - p a r t i c l e s

. At time

t = 0

, nuclei of A are

4 N_{0}

and nuclei of B are

N_{0}

. Initially, number of nuclei of C are zero. Half-life of A (into conversion of C) is

1

min and that of B is

2

min. Find the time (in minutes) at which rate of disintegration of A and B are equal.

Q. There are n number of radioactive nuclei in a sample that undergoes beta decay. If from the sample, n' number of

β

-particles are emitted every 2 s, then half-life of nuclei is

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