1
JEE Main 2021 (Online) 24th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
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%
2
JEE Main 2021 (Online) 24th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
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 :

JEE Main 2021 (Online) 24th February Morning Shift Physics - Simple Harmonic Motion Question 87 English
A
$$A\sqrt {{M \over {M - m}}} $$
B
$$A\sqrt {{{M - m} \over M}} $$
C
$$A\sqrt {{{M + m} \over M}} $$
D
$$A\sqrt {{M \over {M + m}}} $$
3
JEE Main 2020 (Online) 6th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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
$${1 \over {\sqrt 2 }}$$
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