During the mean life of a radioactive element | vedclass

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

Question

(B) The number of radioactive nuclei remaining after time $t$ is given by $N(t) = N_0 e^{-\lambda t}$.The mean life $	au$ of a radioactive element is

Vedclass · Accepted Answer

$\frac{e-1}{e}$

Vedclass · Answer

(B) The number of radioactive nuclei remaining after time $t$ is given by $N(t) = N_0 e^{-\lambda t}$.The mean life $	au$ of a radioactive element is defined as $	au = \frac{1}{\lambda}$.The fraction of nuclei that remains after time $t = 	au$ is $\frac{N}{N_0} = e^{-\lambda 	imes \frac{1}{\lambda}} = e^{-1} = \frac{1}{e}$.The fraction that disintegrates is $1 - \frac{N}{N_0} = 1 - \frac{1}{e} = \frac{e-1}{e}$.

During the mean life of a radioactive element,the fraction that disintegrates is

Similar Questions

The sensitivity of a galvanometer is $60 \text{ division/A}$. When a shunt is used,its sensitivity becomes $10 \text{ division/A}$. If the galvanometer is of resistance $20 \ \Omega$,the value of shunt used is: (in $\Omega$)

Which of the following is the strongest reducing agent?

For the given figure,if the block remains in equilibrium,find the frictional force between the block and the wall in $N$.

$A$ transverse wave is described by the equation $y = y_0 \sin 2\pi \left( ft - \frac{x}{\lambda} \right)$. The maximum particle velocity is equal to four times the wave velocity if

For the parabola $y^2+6y-2x+5=0$:
$(I)$ The vertex is $(-2,-3)$
$(II)$ The directrix is $y+3=0$
Which of the following is correct?

Vedclass Test Series

Exam Paper Generator

Online Exam Module