Home
Class 12
CHEMISTRY
A radioactive isotope decays at such a r...

A radioactive isotope decays at such a rate that after 192 minutes only 1/16 of the original amount remains. The half life of the radioactive isotope is

A

32 min

B

48 min

C

12 min

D

24 min

Text Solution

Verified by Experts

The correct Answer is:
B
`N/N_0 = (1/2)^((T)/(t_(1//2))) , (1/(16)) = (1/2)^((192)/(t_(1//2))) , (1/2)^4 = (1/2)^((192)/(t_(1//2)))`
`t_(1//2) = `48 min
Promotional Banner

Similar Questions

Explore conceptually related problems

A radioactive isotope decays to such a rate that after 96 min only 1/8th of the original amount remains. The value t_(1//2) of this nuclide is

A radioactive isotope decays at such a rate that after 96 min, only 1//8th of the original amount remains. The value of t_(1//2) of this nuclide is a. 12 min b. 32 min c. 24 min d. 48 min

Radioactive elements decays at such a rate that after 68 minutes only one-fourth of its original amount remains. Calculate its decay constant and half life period.

The half - life of a radioactive isotope is always. ………………………… .

A radioactive isotope has a half life of T years. It radius to 3.125% of its original value in

After a period of 100 days the radioactive of an isotope remains 1/4th of the original activity . The half life of the isotope is

The activity of a radioactive isotope is 3000 count per minute at a certai time and 2736 count per minute after 48 h later. The half-life of this isotope is

Radioactivity of a radioactive element remains 1//10 of the original radioactivity after 2.303 seconds. The half life period is