MHT CET 2024 16th May Evening Shift | Atoms and Nuclei Question 2 | Physics

Two radioactive substances A and B have decay constants ' $5 \lambda$ ' and ' $\lambda$ ' respectively. At $\mathrm{t}=0$, they have the same number of nuclei. The ratio of number of nuclei of $A$ to those of $B$ will be $\left(\frac{1}{\mathrm{e}}\right)^2$ after a time interval

$\frac{1}{42}$

$4 \lambda$

$2 \lambda$

$\frac{1}{2 \lambda}$

MHT CET 2024 16th May Morning Shift

MCQ (Single Correct Answer)

-0

In $\mathrm{M}_{\mathrm{O}}$ is the mass of an oxygen isotope ${ }_8 \mathrm{O}^{17}$ and $\mathrm{M}_{\mathrm{p}}$ and $\mathrm{M}_{\mathrm{N}}$ are the mass of proton and mass of neutron respectively, then the nucleus binding energy of the isotope is

$\mathrm{M}_{\mathrm{o}} \mathrm{C}^2$

$\left(\mathrm{M}_{\mathrm{o}}-8 \mathrm{M}_{\mathrm{P}}\right) \mathrm{C}^2$

$\mathrm{\left(M_o-17 M_N\right) C^2}$

$\left(\mathrm{M}_{\mathrm{o}}-8 \mathrm{M}_{\mathrm{P}}-9 \mathrm{M}_{\mathrm{N}}\right) \mathrm{C}^2$

MHT CET 2024 16th May Morning Shift

MCQ (Single Correct Answer)

-0

Frequency of the series limit of Balmer series of hydrogen atom of Rydberg's constant ' $R$ ' and velocity of light ' $C$ ' is

$\frac{\mathrm{RC}}{4}$

$\frac{4}{\mathrm{RC}}$

4 RC

MHT CET 2024 15th May Evening Shift

MCQ (Single Correct Answer)

-0

Acceleration of an electron in the first Bohr's orbit is proportional to $\mathrm{m}=$ mass of electron, $\mathrm{r}=$ radius of the orbit, $\mathrm{h}=$ Planck's constant)

$\frac{\mathrm{m}^3 \mathrm{r}^3}{\mathrm{~h}^2}$

$\frac{h^2}{m^2 r^3}$

$\frac{\mathrm{h}^2}{\mathrm{mr}^3}$

$\frac{\mathrm{mr}^3}{\mathrm{~h}^2}$

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