The decay rate for a certain mass of a radioa | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) From the graph, at $t = 0 \, hr$, the initial decay rate $R_0 = 200 \, 	ext{decays/sec}$.At $t = 2 \, hr$, the decay rate $R = 100 \, 	ext{decay

Vedclass · Accepted Answer

$\frac{25}{2} \, 	ext{decays/sec}$

Vedclass · Answer

(A) From the graph, at $t = 0 \, hr$, the initial decay rate $R_0 = 200 \, 	ext{decays/sec}$.At $t = 2 \, hr$, the decay rate $R = 100 \, 	ext{decays/sec}$.Since the decay rate becomes half in $2 \, hr$, the half-life $T_{1/2} = 2 \, hr$.The decay rate at any time $t$ is given by $R = R_0 \left( \frac{1}{2} ight)^{t/T_{1/2}}$.For $t = 8 \, hr$, $R = 200 \left( \frac{1}{2} ight)^{8/2} = 200 \left( \frac{1}{2} ight)^4 = \frac{200}{16} = \frac{25}{2} \, 	ext{decays/sec}$.

The decay rate for a certain mass of a radioactive substance measured at different times varies with time as shown in the figure. The count rate at $t = 8 \, hr$ will be:

Similar Questions

The velocity $v$ reached by a car of mass $m$ at a certain distance from the starting point,driven with constant power $P$,is such that:

$A$ capacitor is charged by using a battery,which is then disconnected. $A$ dielectric slab is then inserted between the plates. What is the result?

Assertion : Net primary productivity is gross primary productivity minus respiration.
Reason : Secondary productivity is produced by heterotrophs.

The distribution of relative intensity $I(\lambda)$ of blackbody radiation from a solid object versus the wavelength $\lambda$ is shown in the figure. If the Wien displacement law constant is $2.9 \times 10^{-3} \ mK$,what is the approximate temperature of the object in $K$?

The method of zone refining of metals is based on the principle of

Vedclass Test Series

Exam Paper Generator

Online Exam Module