1
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
$$A\sqrt {{M \over {M + m}}}$$
2
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
$$\sqrt {{g \over {2{y_0}}}}$$
3
JEE Main 2020 (Online) 3rd September Evening Slot
+4
-1
A block of mass m attached to a massless spring is performing oscillatory motion of amplitude ‘A’ on a frictionless horizontal plane. If half of the mass of the block breaks off when it is passing through its equilibrium point, the amplitude of oscillation for the remaining system become fA. The value of f is :
A
1
B
$${1 \over 2}$$
C
$$\sqrt 2$$
D
$${1 \over {\sqrt 2 }}$$
4
JEE Main 2020 (Online) 2nd September Evening Slot
+4
-1
The displacement time graph of a particle executing S.H.M is given in figure :
(sketch is schematic and not to scale)
Which of the following statements is/are true for this motion?
(A) The force is zero at t = $${{3T} \over 4}$$
(B) The acceleration is maximum at t = T
(C) The speed is maximum at t = $${{T} \over 4}$$
(D) The P.E. is equal to K.E. of the oscillation at t = $${{T} \over 2}$$
A
(B), (C) and (D)
B
(A), (B) and (C)
C
(A) and (D)
D
(A), (B) and (D)
EXAM MAP
Medical
NEET