1
JEE Main 2021 (Online) 16th March Morning Shift
+4
-1
Time period of a simple pendulum is T inside a lift when the lift is stationary. If the lift moves upwards with an acceleration g/2, the time period of pendulum will be :
A
$$\sqrt 3 T$$
B
$$\sqrt {{2 \over 3}} T$$
C
$${T \over {\sqrt 3 }}$$
D
$$\sqrt {{3 \over 2}} T$$
2
JEE Main 2021 (Online) 26th February Evening Shift
+4
-1
A particle executes S.H.M., the graph of velocity as a function of displacement is :
A
a parabola
B
a helix
C
an ellipse
D
a circle
3
JEE Main 2021 (Online) 26th February Evening Shift
+4
-1
Given below are two statements :

Statement I : A second's pendulum has a time period of 1 second.

Statement II : It takes precisely one second to move between the two extreme positions.

In the light of the above statements, choose the correct answer from the options given below :
A
Both Statement I and Statement II are false
B
Statement I is false but Statement II is true
C
Both Statement I and Statement II are true
D
Statement I is true but Statement II is false
4
JEE Main 2021 (Online) 26th February Morning Shift
+4
-1
Assume that a tunnel is dug along a chord of the earth, at a perpendicular distance (R/2) from the earth's centre, where 'R' is the radius of the Earth. The wall of the tunnel is frictionless. If a particle is released in this tunnel, it will execute a simple harmonic motion with a time period :
A
$$2\pi \sqrt {{R \over g}}$$
B
$${g \over {2\pi R}}$$
C
$${{2\pi R} \over g}$$
D
$${1 \over {2\pi }}\sqrt {{g \over R}}$$
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