Answer:
50.67
Explanation:
L = 4 m
Let the mass of small length dx is dm.
So, dm = ρ(x) dx
Integrate on both the sides within proper limits
m = 40 + 32 / 3 = 152 / 3 = 50.67
A standing wave with a fundamental frequency 1.25x10 2 Hz is set up on a string of length 0.750 meters. What is the frequency of
1 answer:
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Answer:
1.41 m/s, 7.85 rad/s
Explanation:
We can start by calculating the tangential velocity, which is given by:
where
r = 18 cm = 0.18 m is the radius of the circumference
T = 0.8 s is the period
Substituting,
Now we can also calculate the angular velocity, which is given by:
where again,
T = 0.8 s is the period
Substituting,
When light travels from a medium with greater refractive index 
to a medium with smaller refractive index 
, there exists an angle (called critical angle) above which the light is totally reflected, and the value of this angle is given by
In this problem, we know that the critical angle is
, so we can find the ratio between the refractive indices of the two mediums:
and since the second medium is air (n=1.00), the refractive index of the first medium is
In the second part of the problem, we have light entering from air (
) at angle of incidence of 
, into the second medium with 
. By using Snell's law, we can find the angle of refraction of the light inside the medium:
In this problem, we know that the critical angle is
and since the second medium is air (n=1.00), the refractive index of the first medium is
In the second part of the problem, we have light entering from air (