1
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
In an engine the piston undergoes vertical simple harmonic motion with amplitude 7 cm. A washer rests on top of the piston and moves with it. The motor speed is slowly increased. The frequency of the piston at which the washer no longer stays in contact with the piston, is close to :
A
0.1 Hz
B
1.2 Hz
C
0.7 Hz
D
1.9 Hz
2
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Two particles are performing simple harmonic motion in a straight line about the same equilibrium point. The amplitude and time period for both particles are same and equal to A and I, respectively. At time t = 0 one particle has displacement A while the other one has displacement $${{ - A} \over 2}$$ and they are moving towards each other. If they cross each other at time t, then t is :
A
$${T \over 6}$$
B
$${5T \over 6}$$
C
$${T \over 3}$$
D
$${T \over 4}$$
3
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
A particle performs simple harmonic motion with amplitude $$A.$$ Its speed is trebled at the instant that it is at a distance $${{2A} \over 3}$$ from equilibrium position. The new amplitude of the motion is:
A
$$A\sqrt 3$$
B
$${{7A} \over 3}$$
C
$${A \over 3}\sqrt {41}$$
D
$$3A$$
4
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
The period of oscillation of a simple pendulum is $$T = 2\pi \sqrt {{L \over g}}$$. Measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using wrist watch of 1 s resolution. The accuracy in the determination of g is:
A
1 %
B
5 %
C
2 %
D
3 %
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