1
MHT CET 2023 9th May Evening Shift
+1
-0

Two S.H.Ms. are represented by equations $$\mathrm{y}_1=0.1 \sin \left(100 \pi \mathrm{t}+\frac{\pi}{3}\right)$$ and $$\mathrm{y}_2=0.1 \cos (100 \pi \mathrm{t})$$ The phase difference between the speeds of the two particles is

A
$$\frac{\pi}{3}$$
B
$$-\frac{\pi}{6}$$
C
$$+\frac{\pi}{6}$$
D
$$-\frac{\pi}{3}$$
2
MHT CET 2023 9th May Evening Shift
+1
-0

A spring has a certain mass suspended from it and its period for vertical oscillations is '$$T_1$$'. The spring is now cut in to two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations is now '$$\mathrm{T}_2$$'. The ratio $$\mathrm{T}_1 / \mathrm{T}_2$$ is

A
2
B
$$\sqrt{2}$$
C
$$\frac{1}{\sqrt{2}}$$
D
$$\frac{1}{2}$$
3
MHT CET 2023 9th May Evening Shift
+1
-0

A particle is vibrating in S.H.M. with an amplitude of $$4 \mathrm{~cm}$$. At what displacement from the equilibrium position is its energy half potential and half kinetic?

A
$$1 \mathrm{~cm}$$
B
$$\sqrt{2} \mathrm{~cm}$$
C
$$2 \mathrm{~cm}$$
D
$$2 \sqrt{2} \mathrm{~cm}$$
4
MHT CET 2023 9th May Morning Shift
+1
-0

A rubber ball filled with water, having a small hole is used as the bob of a simple pendulum. The time period of such a pendulum

A
is a constant.
B
decreases with time.
C
increases with time.
D
first increases and then decreases, finally having same value as at the beginning.
MHT CET Subjects
Physics
Mechanics
Optics
Electromagnetism
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Calculus
Coordinate Geometry
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