Home
Class 12
PHYSICS
The radioactivity of a certain radioacti...

The radioactivity of a certain radioactive element drops to `1//64` of its initial value in `30` seconds. Its half-life is.

A

2 seconds

B

4 seconds

C

5 seconds

D

6 seconds

Text Solution

Verified by Experts

The correct Answer is:
C
Since, `N = N_(0) ((1)/(2))^((t)/(T))`
`rArr (N_(0))/(64) = N_(0) ((1)/(2))^((30)/(T))`
`rArr ((1)/(2))^(6) = ((1)/(2))^((30)/(T)) rArr (30)/(T)= 6`
`rArr T=5` sec
Promotional Banner

Similar Questions

Explore conceptually related problems

The activity of a radioactive element reduces to (1//16)th of its original value in 30 years. Find its half life?

The nuclear activity of a radioactive element becomes (1/8)^(th) of its initial value in 30 years. The half-life of radioactive element is ________ years.

A radioactive element reduces to 25% of its initial value in 1000 years. What is half-life of the element ?

The activity of a radioactive sample drops fo 1//32 of its initial value in 7.5 h. Find the half life ?

A radioactive element decays to 1//32th of its initial activity in 25 decay. Calculate its half life.

A radioactive element reducess to 32st of its initial value in 1000 years . What is half life of the element ?

If the activity of radioactive sample drops to 1//32 of its initial value in 7.5 hr. Half life will be -

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