The wavelength of the interfering waves is 3.14 m.
<h3>Calculation:</h3>
The general equation of a standing wave is given by:
y = 2A sin (kx) cos (ωt) ......(1)
The given equation represents the standing wave produced by the interference of two harmonic waves:
y = 3 sin (2x) cos 5t .......(2)
Comparing equations (1) and (2):
k = 2
We know that,
k = 2π/λ
λ = 2π/k
λ = 2 (3.14)/ 2
λ = 3.14 m
Therefore, the wavelength of the interfering waves is 3.14 m.
I understand the question you are looking for is this:
Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 3 sin (2x) cos 5t where x is in m and t is in s. What is the wavelength of the interfering waves?
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Answer:
6.83 cm
Explanation:
Given data:
Focal length of the eye piece, = 2.50 cm
Focal length of the converging lens, f = 1.00 cm
distance of the object, p = 1.30 cm
Now,
we have the lens equation as:
q is the distance of the image
thus,
on substituting the values in the above equation, we get
or
q = 4.33 cm
now, the image is formed at the focal point of the eye piece,
therefore, the distance between the objective and the eyepiece, d = + q = 2.50 cm + 4.33 cm
or
d = 6.83 cm
Answer:
The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.
Divide 14 by 6 and there is your answer with the unit of m
Answer:
P = 1447.51 Watts
Explanation:
Given that,
Mass of the person, m = 87.4 kg
Length of the hillside, l = 12 m
Inclination above horizontal,
Time, t = 3 s
Let h is the height of the hillside, it can be calculated using trigonometry.
h = 5.07 m
Let P is the minimum average power output. It is equal to the energy per unit time. Its formula is given by :
P = 1447.51 Watts
So, the minimum average power output of the person is 1447.51 Watts. Hence, this is the required solution.