1
MHT CET 2025 21st April Evening Shift
MCQ (Single Correct Answer)
+1
-0

Using Bohr's quantization condition, the rotational kinetic energy in the third orbit for a diatomic molecule is ( $h=$ Planck's constant, $\mathrm{I}=$ moment of inertia of diatomic molecule)

A
$\frac{9 h^2}{8 \pi^2 I}$
B
$\frac{3 \mathrm{~h}^2}{8 \pi^2 \mathrm{I}}$
C
$\frac{6 h^2}{8 \pi I}$
D
$\frac{12 h^2}{7 \pi^2 I}$
2
MHT CET 2025 21st April Morning Shift
MCQ (Single Correct Answer)
+1
-0

Which of the following transitions in hydrogen atom emit photons of highest frequency? ( $\mathrm{n}=$ principle quantum number)

A
$\mathrm{n}=1$ to $\mathrm{n}=3$
B
$\mathrm{n}=2$ to $\mathrm{n}=4$
C
$\mathrm{n}=5$ to $\mathrm{n}=3$
D
$\mathrm{n}=2$ to $\mathrm{n}=1$
3
MHT CET 2025 21st April Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two radioactive materials $A$ and $B$ having decay constant ' $7 \lambda$ ' and ' $\lambda$ ' respectively, initially have same number of nuclei. The time taken to have the ratio of number of nuclei of material B to that of A as ' e ' is

A
$\frac{1}{\lambda}$
B
$\frac{1}{6 \lambda}$
C
$\frac{1}{7 \lambda}$
D
$\frac{1}{8 \lambda}$
4
MHT CET 2025 20th April Evening Shift
MCQ (Single Correct Answer)
+1
-0

The ratio of angular momentum of an electron in $\mathrm{n}^{\text {th }}$ orbit of hydrogen atom to the velocity of electron in $\mathrm{n}^{\text {th }}$ orbit is proportional to

A
$\mathrm{n}^2$
B
$\frac{1}{\mathrm{n}^2}$
C
$\mathrm{n}^3$
D
$\frac{1}{\mathrm{n}^3}$
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