1
JEE Main 2021 (Online) 24th February Evening Slot
+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 Slot
+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 2020 (Online) 6th September Evening Slot
+4
-1
When a particle of mass m is attached to a vertical spring of spring constant k and released, its motion is described by
y(t) = y0 sin2 $$\omega$$t, where 'y' is measured from the lower end of unstretched spring. Then $$\omega$$ is:
A
$$\sqrt {{g \over {{y_0}}}}$$
B
$${1 \over 2}\sqrt {{g \over {{y_0}}}}$$
C
$$\sqrt {{{2g} \over {{y_0}}}}$$
D
$$\sqrt {{g \over {2{y_0}}}}$$
4
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
In a resonance tube experiment when the tube is filled with water up to a height of 17.0 cm from bottom, it resonates with a given tuning fork. When the water level is raised the next resonance with the same tuning fork occurs at a height of 24.5 cm. If the velocity of sound in air is 330 m/s, the tuning fork frequency is :
A
2200 Hz
B
3300 Hz
C
1100 Hz
D
550 Hz
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