Answer:
The lowest possible frequency of sound for which this is possible is 1307.69 Hz
Explanation:
From the question, Abby is standing 5.00m in front of one of the speakers, perpendicular to the line joining the speakers.
First, we will determine his distance from the second speaker using the Pythagorean theorem
l₂ = √(2.00²+5.00²)
l₂ = √4+25
l₂ = √29
l₂ = 5.39 m
Hence, the path difference is
ΔL = l₂ - l₁
ΔL = 5.39 m - 5.00 m
ΔL = 0.39 m
From the formula for destructive interference
ΔL = (n+1/2)λ
where n is any integer and λ is the wavelength
n = 1 in this case, the lowest possible frequency corresponds to the largest wavelength, which corresponds to the smallest value of n.
Then,
0.39 = (1+ 1/2)λ
0.39 = (3/2)λ
0.39 = 1.5λ
∴ λ = 0.39/1.5
λ = 0.26 m
From
v = fλ
f = v/λ
f = 340 / 0.26
f = 1307.69 Hz
Hence, the lowest possible frequency of sound for which this is possible is 1307.69 Hz.
Answer:
option (a)
Explanation:
Wavelength is defined as the distance traveled by the wave in one complete oscillation.
The number of oscillations completed in one second is called frequency.
The relation for the wave velocity is given by
wave velocity = frequency x wavelength
Answer:
L = 0.24 m = 24 cm
Explanation:
Given:
- Wavelength of the wave λ = 12 cm
- total number of nodes : mode @ each end = 2 , 3 nodes in between = 5 nodes
Find:
How wide is the oven?
Solution:
- The wavelength of the microwave corresponds to a frequency of:
f = c / λ
f = 3.0*10^8 / 0.12
f = 25 * 10^8 Hz
- We have a total of 5 nodes, hence we get m = 4 anti-nodes in our standing wave.
- The frequency of a standing wave @ m of length L fixed at both ends is given by:
f_m = m*c / 2*L m = 1 , 2, 3 , 4, ....
L = m*c / 2*f_m
- Plug in values:
L = 4*3 / 2*25
L = 0.24 m = 24 cm
Answer:
see below
Explanation:
to find distance multiply speed by time
to compute speed the formula is distance divided by time
here is to learn the triangle
Search up distance, speed and time triangle
it is much easier to remember
hope this helps
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