1
NEET 2024 (Re-Examination)
+4
-1

A particle executing simple harmonic motion with amplitude A has the same potential and kinetic energies at the displacement

A
$$2 \sqrt{A}$$
B
$$\frac{A}{2}$$
C
$$\frac{A}{\sqrt{2}}$$
D
$$A \sqrt{2}$$
2
NEET 2024 (Re-Examination)
+4
-1

The two-dimensional motion of a particle, described by $$\vec{r}=(\hat{i}+2 \hat{j}) A \cos \omega t$$ is a/an:

A. parabolic path

B. elliptical path

C. periodic motion

D. simple harmonic motion

Choose the correct answer from the options given below:

A
B, C and D only
B
A, B and C only
C
A, C and D only
D
C and D only
3
NEET 2024
+4
-1

If $$x=5 \sin \left(\pi t+\frac{\pi}{3}\right) \mathrm{m}$$ represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively, are

A
5 cm, 2 s
B
5 m, 2 s
C
5 cm, 1 s
D
5 m, 1 s
4
NEET 2024
+4
-1

If the mass of the bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is $$\frac{x}{2}$$ times its original time period. Then the value of $$x$$ is:

A
$$\sqrt{3}$$
B
$$\sqrt{2}$$
C
$$2 \sqrt{3}$$
D
4
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