1
JEE Main 2021 (Online) 24th February Evening Shift
+4
-1
In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane. The free ends of the springs are attached to firm supports. If each spring has spring constant k, the frequency of oscillation of given body is :

A
$${1 \over {2\pi }}\sqrt {{{2k} \over {Mg\sin \alpha }}}$$
B
$${1 \over {2\pi }}\sqrt {{k \over {Mg\sin \alpha }}}$$
C
$${1 \over {2\pi }}\sqrt {{{2k} \over M}}$$
D
$${1 \over {2\pi }}\sqrt {{k \over {2M}}}$$
2
JEE Main 2021 (Online) 24th February Evening Shift
+4
-1
When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is :
A
circular
B
straight line
C
parabolic
D
elliptical
3
JEE Main 2021 (Online) 24th February Evening Shift
+4
-1
The period of oscillation of a simple pendulum is $$T = 2\pi \sqrt {{L \over g}}$$. Measured value of 'L' is 1.0 m from meter scale having a minimum division of 1 mm and time of one complete oscillation is 1.95 s measured from stopwatch of 0.01 s resolution. The percentage error in the determination of 'g' will be :
A
1.30%
B
1.33%
C
1.13%
D
1.03%
4
JEE Main 2021 (Online) 24th February Morning Shift
+4
-1
In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is k. The mass oscillates on a frictionless surface with time period T and amplitude A. When the mass is in equilibrium position, as shown in the figure, another mass m is gently fixed upon it. The new amplitude of oscillations will be :

A
$$A\sqrt {{M \over {M - m}}}$$
B
$$A\sqrt {{{M - m} \over M}}$$
C
$$A\sqrt {{{M + m} \over M}}$$
D
$$A\sqrt {{M \over {M + m}}}$$
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