A point charge Q at the center of a sphere of radius R produces an electric flux of Φ coming out of the sphere. If the charge r
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Answer:
As the wavelength of an electromagnetic wave _decrease__ the frequency of the wave _increase_______.
Explanation:
What is the relationship between frequency and wavelength?
Wavelength and frequency of light are closely related. The higher the frequency, the shorter the wavelength. Because all light waves move through a vacuum at the same speed, the number of wave crests passing by a given point in one second depends on the wavelength.
That number, also known as the frequency, will be larger for a short-wavelength wave than for a long-wavelength wave. The equation that relates wavelength and frequency is:
V= fλ
where v= velocity
f= frequency
λ = wavelength
⇒ f = v/λ
also f ∝ 1/λ
For electromagnetic radiation, the speed is equal to the speed of light, c, and the equation becomes:
C= fλ
where c= Speed of light
f= frequency
λ = wavelength
⇒ f = v/λ
also f ∝ 1/λ
Answer:
Afterward the magnitude of the acceleration of the stone is four times as great
Explanation:
A stone tied to a string and whirled at a constant speed in a horizontal circle will have a centripetal acceleration given by
Where is the centripetal acceleration
is the speed
and is the radius of the circle
Here, the radius of the circle is the length of the string.
Now, from the question
The speed is then doubled without changing the length of the string,
Let the new speed be , that is
and without changing the length of the string means radius is constant.
To determine the magnitude of the acceleration of the stone afterwards,
Let the new acceleration be .
Then we can write that
From
Recall that
∴
Now, we will put the value of into
Then,
The new magnitude of the acceleration of the stone is four times the initial acceleration.
Hence,
Afterward the magnitude of the acceleration of the stone is four times as great