1
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
A pendulum is executing simple harmonic motion and its maximum kinetic energy is K1. If the length of the pendulum is doubled and it performs simple harmonic motion with the same amplitude as in the first case, its maximum kinetic energy is K2. Then :
A
$${K_2}$$ = $${{{K_1}} \over 2}$$
B
K2 = 2K1
C
K2 = K1
D
K2 = $${{{K_1}} \over 4}$$
2
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
3
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
Out of Syllabus
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
4
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
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