1
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Half-lives of two radioactive elements A and B are 30 minute and 60 minute respectively. Initially the samples have equal number of nuclei. After 120 minute the ratio of decayed numbers of nuclei of $B$ to that of $A$ will be

A
$1: 15$
B
$1: 4$
C
$4: 5$
D
$5: 4$
2
MHT CET 2024 4th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

For hydrogen atom, ' $\lambda_1$ ' and ' $\lambda_2$ ' are the wavelengths corresponding to the transitions 1 and 2 respectively as shown in figure. The ratio of ' $\lambda_1$ ' and ' $\lambda_2$ ' is $\frac{x}{32}$. The value of ' $x$ ' is

MHT CET 2024 4th May Morning Shift Physics - Atoms and Nuclei Question 22 English

A
3
B
9
C
27
D
81
3
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The ratio of the radius of the first Bohr orbit to that of the second Bohr orbit of the orbital electron is

A
$4: 1$
B
$2: 1$
C
$1: 4$
D
$1: 2$
4
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A diatomic molecule has moment of inertia ' I ', By applying Bohr's quantization condition, its rotational energy in the $\mathrm{n}^{\text {th }}$ level is $[\mathrm{n} \geq 1]$ [h= Planck's constant]

A
$\frac{1}{\mathrm{n}^2}\left(\frac{\mathrm{~h}^2}{8 \pi^2 \mathrm{I}}\right)$
B
$\frac{1}{\mathrm{n}}\left(\frac{\mathrm{h}^2}{8 \pi^2 \mathrm{I}}\right)$
C
$n\left(\frac{h^2}{8 \pi^2 \mathrm{I}}\right)$
D
$\mathrm{n}^2\left(\frac{\mathrm{~h}^2}{8 \pi^2 \mathrm{I}}\right)$
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