0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

A radioactive nucleus can decay by three different processes simultaneously. The half life for the processes are $$1h, \dfrac {1}{\sqrt {2}}h, \dfrac {1}{2}h$$. The effective half life of the nucleus is

A
$$\left (1 + \dfrac {1}{\sqrt {2}} + \dfrac {1}{2}\right ) hour$$
B
$$\dfrac {1}{2} hour$$
C
$$\left (\dfrac {3 - \sqrt {2}}{7}\right )hour$$
D
$$\dfrac {1}{2\sqrt {2}} hour$$
E
$$\dfrac {3 + \sqrt {2}}{7} hour$$
Solution
Verified by Toppr

Correct option is B. $$\left (\dfrac {3 - \sqrt {2}}{7}\right )hour$$

Was this answer helpful?
0
Similar Questions
Q1
A radioactive nucleus can decay by two different processes. If the half lives of the first and second decay processes are 5×103 years and 105 years respectively, then the effective half life of the nucleus is-(nearly)
View Solution
Q2
A radioactive nucleus can decay by two different processes. Half-life for the first process is 3.0 hours while it is 4.5 hours for the second process. The effective half-life of the nucleus will be:
View Solution
Q3
A radioactive nucleus decays by two different processes. The half life for the first process is 10 s and that for the second is 100 s. The effective half life of the nucleus is close to
View Solution
Q4

A radioactive nucleus decays by two different processes. The half-life for the first process is 10s and that for the second is 100s. The effective half-life of the nucleus is close to:


View Solution
Q5
A radioactive nucleus can decay by two different processes with half-lives of 2 years and 4 years respectively. Effective half life of nucleus in years is (Write upto two digits after the decimal point)
View Solution