1
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
2
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
3
JEE Main 2021 (Online) 25th February Evening Shift
+4
-1
Y = A sin($$\omega$$t + $$\phi$$0) is the time-displacement equation of a SHM. At t = 0 the displacement of the particle is $$Y = {A \over 2}$$ and it is moving along negative x-direction. Then the initial phase angle $$\phi$$0 will be:
A
$${{5\pi } \over 6}$$
B
$${{\pi } \over 3}$$
C
$${{2\pi } \over 3}$$
D
$${{\pi } \over 6}$$
4
JEE Main 2021 (Online) 25th February Evening Shift
+4
-1
Two identical springs of spring constant '2k' are attached to a block of mass m and to fixed support (see figure). When the mass is displaced from equilibrium position on either side, it executes simple harmonic motion. The time period of oscillations of this system is :

A
$$2\pi \sqrt {{m \over k}}$$
B
$$\pi \sqrt {{m \over k}}$$
C
$$2\pi \sqrt {{m \over {2k}}}$$
D
$$\pi \sqrt {{m \over {2k}}}$$
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