Match List $I$ (Wavelength range of electromagnetic spectrum) with List $II$ (Method of production of these waves) and select the correct option from the options given below the lists
List $I$ | List $II$ |
$(1)$ $700\, nm$ to $1\,mm$ | $(i)$ Vibration of atoms and molecules |
$(2)$ $1\,nm$ to $400\, nm$ | $(ii)$ Inner shell electrons in atoms moving from one energy level to a lower level |
$(3)$ $ < 10^{-3}\,nm$ | $(iii)$ Radioactive decay of the nucleus |
$(4)$ $1\,mm$ to $0.1\,m$ | $(iv)$ Magnetron valve |
$(1)-(iv), (2)-(iii), (3)-(ii), ( 4)-(i)$
$(1)-(iii), (2)-(iv), (3)-(i), (4)-(ii)$
$(1)-(ii), (2)-(ii i), (3)-(iv), (4)-(i)$
$(1)-(i), (2)-(ii), (3)-(iii), (4)-(iv)$
After five half lives what will be the fraction of initial substance
An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life $18$ days inside the laboratory. Tests revealed that the radiation was $64$ times more than the permissible level required for safe operation of the laboratory. What is the minimum number of days after which the laboratory can be considered safe for use?
Activity of a radioactive substance is $R_1$ at time $t_1$ and $R_2$ at time $t_2(t_2 > t_1).$ Then the ratio $\frac{R_2}{R_1}$ is :
A radio nuclide $A_1$ with decay constant $\lambda_1$ transforms into a radio nuclide $A_2$ with decay constant $\lambda_2$ . If at the initial moment the preparation contained only the radio nuclide $A_1$, then the time interval after which the activity of the radio nuclide $A_2$ reaches its maximum value is :-
If a radioactive material remains $25 \%$ after $16$ days, then its half life will be ......... days