The counting rate of disintegration of radioactive source at $t = 0$ second was $1600$ counts per second and at $t = 8$ seconds was $100$ counts per second. The counting rate observed as counts per seconds, at $t = 6$ second would have been

Question

The counting rate of disintegration of radioactive source at

t = 0

second was

1600

counts per second and at

t = 8

seconds was

100

counts per second. The counting rate observed as counts per seconds, at

t = 6

second would have been

Toppr Admin · Accepted Answer

In 8-xA0-sec count is 100So- 2n-1600100n-4- so in 8 sec there are four half lifes-half life is 2-xA0-secIn 6-xA0-sec there are 3 half life- count after 6-xA0-sec- 160023-200-xA0-

The counting rate of disintegration of radioactive source at $t = 0$ second was $1600$ counts per second and at $t = 8$ seconds was $100$ counts per second. The counting rate observed as counts per seconds, at $t = 6$ second would have been
$100$
$200$
$300$
$400$

In $8 s e c$ count is $100$
So, $2^{n} = \frac{1600}{100}$
$n = 4$ , so in 8 sec there are four half lifes,half life is $2 s e c$
In $6 s e c$ there are 3 half life, count after $6 s e c =$ $\frac{1600}{2^{3}}$ $= 200$

The counting rate of disintegration of radioactive source at t=0 second was 1600 counts per second and at t=8 seconds was 100 counts per second. The counting rate observed as counts per seconds, at t=6 second would have been 100200300400

In 8 sec count is 100So, 2n=1600100n=4, so in 8 sec there are four half lifes,half life is 2 secIn 6 sec there are 3 half life, count after 6 sec= 160023=200

The counting rate of disintegration of radioactive source at $t = 0$ second was $1600$ counts per second and at $t = 8$ seconds was $100$ counts per second. The counting rate observed as counts per seconds, at $t = 6$ second would have been
$100$
$200$
$300$
$400$

In $8 s e c$ count is $100$
So, $2^{n} = \frac{1600}{100}$
$n = 4$ , so in 8 sec there are four half lifes,half life is $2 s e c$
In $6 s e c$ there are 3 half life, count after $6 s e c =$ $\frac{1600}{2^{3}}$ $= 200$