1
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The common region of the solutions of the inequations $$x+2 y \geq 4,2 x-y \leq 6$$ and $$x, y>0$$ is

A
bounded and origin side
B
unbounded and non-origin side
C
unbounded and origin side
D
bounded and non-origin side
2
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\int \frac{(\cos x-\sin x)}{8-\sin 2 x} d x=\frac{1}{p} \log \left[\frac{3+\sin x+\cos x}{3-\sin x-\cos x}\right]+c$$, then $$p=$$ (where $$\mathrm{c}$$ is a constant of integration)

A
12
B
$$\frac{1}{6}$$
C
6
D
3
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two identical particles each of mass '$$m$$' are separated by a distance '$$d$$'. The axis of rotation passes through the midpoint of '$$\mathrm{d}$$' and is perpendicular to the length $$\mathrm{d}$$. If '$$\mathrm{K}$$' is the average rotational kinetic energy of the system, then the angular frequency is

A
$$2 \mathrm{~d} \sqrt{\frac{\mathrm{m}}{\mathrm{K}}}$$
B
$$\frac{\mathrm{d}}{2} \sqrt{\frac{\mathrm{K}}{\mathrm{m}}}$$
C
$$\frac{2}{\mathrm{~d}} \sqrt{\frac{\mathrm{K}}{\mathrm{m}}}$$
D
$$\frac{d}{4} \sqrt{\frac{\mathrm{m}}{\mathrm{K}}}$$
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

An electron makes a transition from an excited state to the ground state of a hydrogen like atom. Out of the following statements which one is correct?

A
Kinetic energy, potential energy and total energy decreases
B
Kinetic energy and total energy decreased but potential energy increases
C
Kinetic energy increases but potential energy and total energy decreases
D
Kinetic energy decreases, potential energy increases but total energy remains the same.
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