Using the appropriate approximations:
dx/L = mλ
d = slit separation
x = fringe spacing
L = distance between slits and screen
m = some integer, used to determine the distance from the central bright fringe to another bright fringe
We don't really need a value for m because we're calculating the distance between any pair of consecutive fringes. Let's just set m = 1
Given values:
d = 1.0mm
L = 2.0m
λ = 480nm
Substitute the terms in the equation with our given values and solve for x:
1.0*10⁻³*x/2 = 480*10⁻9
<h3>x = 0.96mm</h3>
Answer:
Explanation:
The condition that the sphere completes the loop is that it doesn't fall off at the top. In order to do that, the sphere has to have enough velocity to beat the centripetal acceleration.
The forces acting on the sphere at the top of the loop:
1- Weight of the sphere to the downwards direction.
2- The normal force to the downwards direction.
So Newton's Second Law gives the following equation
At the minimum velocity, which corresponds to minimum height 'h', the normal force is equal to zero. That means, if the sphere moves any less than the minimum velocity, its weight will be greater than the centripetal force, hence it will fall off.
Therefore,
Now, we can use the conservation of energy to find the minimum height.
Answer:
Explanation:
The frequency of a light is inversely proportional to its wavelength. It is given by:
The speed of the red light, v = 3.0 × 10⁸ m/s
The wavelength of the red light, λ = 690 nm = 690 ×10⁻⁹ m
Thus, the frequency of red light emitted by neon sign having wavelength 690 nm is
Answer:
D) 31 m, 19 Hz
Explanation:
The equation of the wave in the problem is
In general, the equation of a travelling wave is written as
where
A is the amplitude
is the wave number, with being the wavelength of the wave
is the angular frequency and f is the frequency
By comparing the two equations, we see that for this wave:
So now we can use the two equations for k and to find the wavelength and the frequency of the wave: