1
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
A 1 kg block attached to a spring vibrates with a frequency of 1 Hz on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to an 8 kg block placed on the same table. So, the frequency of vibration of the 8 kg block is :
A
$${1 \over 4}Hz$$
B
$${1 \over {2\sqrt 2 }}Hz$$
C
$${1 \over 2}Hz$$
D
$$2$$ $$Hz$$
2
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is 10 s−1 . At, t = 0 the displacement is 5 m. What is the maximum acceleration ? The initial phase is $${\pi \over 4}$$.
A
500 m/s2
B
500 $$\sqrt 2 m/$$ s2
C
750 m/s2
D
750 $$\sqrt 2$$m / s2
3
JEE Main 2016 (Online) 10th April Morning Slot
+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
4
JEE Main 2016 (Online) 9th April Morning Slot
+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
$${T \over 4}$$
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