Homework Statement
A 400 nm light ray is traveling through a vacuum.
a.) Give the light’s speed, frequency and color.
speed = 3E8: Correct
frequency = 7.5E14: Correct
color = violet: Correct
b.) This light now passes into a material where n=1.6. Give the light’s speed, frequency, wavelength...
Thanks guys! Approximating the derivative of f(x)=dy/dx as Δf/Δx did the trick.
Also, for reference purposes if anyone is reading this thread in search of an answer to a similar problem, I forgot to explicitly mention in my OP that the problem question states: "What is the (average)...
Homework Statement
A traveling wave pulse is shown in figure 1 below, traveling at v=6 m/s across a string. In figure 2, a short segment of the string is shown zoomed in. The angle of this string goes from θ1 = 17o to zero within a small horizontal distance Δx = 3 mm.
Homework...
Recall from the problem, it states: "very long solenoid (you may approximate it as infinite.)"
So I have four choices for part a, which asks, The magnetic field across the coil's entire cross-sectional area (as caused by the solenoid) at any given time ...
1) is zero across the entire area...
Oops, you're right. flux2 should just be B1 * A1. Though this is where I'm getting confused right now. On my equation sheet, provided by the instructor, our equation for magnetic flux looks like the following: flux = N * Integral ( B dot dA ) :/
In the end [of that part of the problem] I...
Homework Statement
The figure below shows a short coil which is coaxial with a very long solenoid (you may approximate it as infinite.)
Coil: Has 120 turns of radius 1.8 cm and resistance 5.8 . It is not attached to anything.
Solenoid: Has 22700 turns/m and a radius of 1.6 cm. It receives an...
Homework Statement
We did a lab in my PHYS with Caclulus I class involving a collision of cart A (given an initial push) and cart B (initially at rest) on a relatively smooth surface. *At the moment of the collision, the two carts become attached, providing a completely inelastic collision*...
To the instructor's credit, these past few weeks were really heavily focused on the conceptual idea of using integration to find volumes of various shapes / functions. He really wanted to keep the number-crunching part down to a minimum. 95% of the problems we did involved definite integrals...
Thanks guys. I was able to do it on a TI83 by graphing y = 19.65 and y = [integral], then finding the intersection. Then, five minutes later, I successfully repeated that operation on my midterm :)
Homework Statement
The volume of a tank, a half-cylinder with the flat side UP, when it is FULL, is given by the following:$$16 \int_0^2 \sqrt{4-y^2} dy$$ where 0 is the top of the tank and 2 is the bottom. We also know that when evaluated from 0 to 1 (depth of gas = 1), it equals the...