Which is the correct expression for half-life - Vidyadip

MCQ

Which is the correct expression for half-life

A
${(t)_{1/2}} = \log \,2$
B
${(t)_{1/2}} = \frac{\lambda }{{\log \,2}}$
C
${(t)_{1/2}} = \frac{\lambda }{{\log \,{\rm{2}}}}(\,2.303)$
✓
${(t)_{1/2}} = \frac{{2.303\,{\rm{ log\,2}}}}{\lambda }$

✓

Answer

Correct option: D.

${(t)_{1/2}} = \frac{{2.303\,{\rm{ log\,2}}}}{\lambda }$

d
(d)${T_{1/2}} = \frac{{{{\log }_e}\,2}}{\lambda } = \frac{{2.303\,{{\log }_{10}}\,2\,}}{\lambda }$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 13. Nuclei→13. Nuclei — all question types→Physics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

A uniformly charged solid sphere of radius $R$ has potential $V_0$ (measured with respect to $\infty$) on its surface. For this sphere the equipotential surfaces with potentials $\frac{{3{V_0}}}{2},\;\frac{{5{V_0}}}{4},\;\frac{{3{V_0}}}{4}$ and $\frac{{{V_0}}}{4}$ have rasius $R_1,R_2,R_3$ and $R_4$ respectively. Then

You are given several identical resistances each of value $R = 10\,\Omega $ and each capable of carrying maximum current of $1\, ampere$. It is required to make a suitable combination of these resistances to produce a resistance of $5\,\Omega $ which can carry a current of $4\, amperes$. The minimum number of resistances of the type $R$ that will be required for this job

A bar magnet of magnetic moment $3.0 A- m ^2$ is kept in an uniform magnetic induction of $2 \times 10^{-5} T$. If each pole of the magnet experiences a force of $6 \times 10^{-4} N$, then length of the magnet is :

Light is incident normally on a diffraction grating through which the first order diffraction is seen at $32^\circ$. The second order diffraction will be seen at

You are given two lenses, a converging lens with focal length $+10\, cm$ and a diverging lens with focal length $- 20 \,cm$. Which of the following would produce a virtual image that is larger than the object?

How will you relate velocity of cathode rays to $c$, if $‘c'$ denotes the velocity of light?

Two circuits have mutual inductance of 0.1 H. What average e.m.f. is induced in one circuit when the current in the other circuit changes from 0 to 20 A in 0.02 s

Three unequal resistors in parallel are equivalent to a resistance $1\, ohm$. If two of them are in the ratio $1 : 2$ and if no resistance value is fractional, the largest of the three resistances in $ohms$ is

Assertion : The true geographic north direction is found by using a compass needle.

Reason : The magnetic meridian of the earth is along the axis of rotation of the earth.

How much work is required to carry a $6$ $\mu C$ charge from the negative terminal to the positive terminal of a $9\, V$ battery