1
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
A particle undergoing simple harmonic motion has time dependent displacement given by x(t) = Asin$${{\pi t} \over {90}}$$. The ratio of kinetic to potential energy of this particle at t = 210 s will be:
A
$${1 \over 9}$$
B
3
C
2
D
1
2
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
A closed organ pipe has a fundamental frequency of 1.5 kHz. The number of overtones that can be distinctly heard by a person with this organ pipe will be (Assume that the highest frequency a person can hear is 20,000 Hz)
A
4
B
7
C
6
D
5
3
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and left floating in a pond with still water. If pressed downward slightly and released, it starts performing simple harmonic motion at angular frequency $$\omega$$. If the radius of the bottle is 2.5 cm then $$\omega$$ is close to – (density of water = 103 kg/m3).
A
2.50 rad s$$-$$1
B
3.75 rad s$$-$$1
C
5.00 rad s$$-$$1
D
7.90 rad s$$-$$1
4
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from the mean position, the magnitude of its velocity in SI units is equal to that of its acceleration. Then, its periodic time in seconds is -
A
$${{4\pi } \over 3}$$
B
$${3 \over 8}\pi$$
C
$${7 \over 3}\pi$$
D
$${{8\pi } \over 3}$$
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