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)
For closed organ pipe, resonate frequency is odd multiple of fundamental frequency.
$$ \therefore $$ (2n + 1) f0 $$ \le $$ 20,000
(f0 is fundamental frequency = 1.5 KHz)
$$ \therefore $$ n = 6
$$ \therefore $$ Total number of overtone that can be heared is 7. (0 to 6)
MCQ (Single Correct Answer)
JEE Main 2019 (Online) 10th January Evening Slot
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).
2.50 rad s$$-$$1
3.75 rad s$$-$$1
5.00 rad s$$-$$1
7.90 rad s$$-$$1
Restoring force due to pressing the bottle with small
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 -