Home
Class 12
PHYSICS
A system consists of N(0) nucleus at t =...

A system consists of `N_(0)` nucleus at t = 0. The number of nuclei remaining after half of a half-life (that is, at time `t=1/2T_(1/2)`)

A

`(N_(0))/(2)`

B

`(N_(0))/(sqrt 2)`

C

`(N_(0))/(4)`

D

`(N_(0))/(8)`

Text Solution

Verified by Experts

The correct Answer is:
B
`N = N_(0) ((1)/(2))^(t/T_(1/2)) , N = N_(0) ((1)/(2))^(1/2)T_(1/2))/(T_(1/2))`
`N = N_(0)((1)/(2))^(1/2) , N = (N_(0))/(sqrt2)`
Promotional Banner

Topper's Solved these Questions

  • ATOMIC AND NUCLEAR PHYSICS

    FULL MARKS|Exercise Textual Evaluation Solved (Short Answer Questions)|27 Videos

  • ATOMIC AND NUCLEAR PHYSICS

    FULL MARKS|Exercise Textual Evaluation Solved (Long Answer Questions)|17 Videos

  • ATOMIC AND NUCLEAR PHYSICS

    FULL MARKS|Exercise Additional question (Numerical Problems)|12 Videos

  • COMMUNICATION SYSTEMS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS  (Additional problems)|3 Videos

Similar Questions

Explore conceptually related problems

Radioactive isotopes are produced in a nuclear physics experiment at a constant rate dN//dt=R .An inductor of inductance 100 mH, a resistor of resistance 100 Omega and a battery are connected to form a series circuit.the circuit is switched on at the instant the production of radioactive isotope starts. It is found that i//N remains constant in time where i is the current in the circuit at time t and N is the number of active nuclei at time t. Find the half-life of the isotope.

Two raidoactive substances A and B Have decay constants 5lambda and lambda respectively. At t=0 they have the same number of nuclei.The ratio of number of nuclei of A to those of B will be after (1/e)^2 a time interval:

A radioactive isotope is being produced at a constant rate dN//dt=R in an experiment. The isotope has a half-life t_(1//2) .Show that after a time t gtgt t_(1//2) ,the number of active nuclei will become constant. Find the value of this constant.

An A.P. consist of even number of terms 2n having middle terms equal to 1 and 7 respectively. If n is the maximum value which satisfy t_(1)t_(2n)+713 ge 0 , then the value of the first term of the series is

A person learnt 100 words for an English test. The number of words the person remembers in t days after learning is given by W(t)=100xx(1-0.1t)^(2), 0 le t le 10 . What is the rate at which the person forgets the words 2 days after learning ?

A radioactive nucleus can decay by two different processes. The half-life for the first process is t_1 and that for the second process is t_2 . Show that the effective half-life t of the nucleus is given by 1/t = 1/t_1 + 1/t_2 .