1: A) Starting with two slits, separated by a distance "d," derive the key relation(s) associated with locating interference patterns.
B) Explain the effect on interference patterns if the number of slits is increased (but "d" remains the same).
C) Outline an experiment you can perform to determine the wavelength of a laser pointer (max intensity of 5mWatt) using "basic" lab equipment.
In: Physics
A ball is thrown into a bathtub full of water. The ball has a mass of 0.5 kg and a diameter of 0.22 m. The density of water is 1000 kg/m3 . [Useful info: volume of sphere ?= 4??^3 , where ? is the sphere radius]
Please ensure part e) is completed
(a) Calculate the weight of the ball.
(b) Calculate the buoyant force on the ball if it were completely immersed in water.
(c) Determine whether or not the ball can float on water. Explain your reasoning.
(d) If the ball floats on water, what fraction of the ball’s volume is below the water surface?
(e) What is the maximum diameter a ball with ?? = 0.5 kg can have so that is does not float on water but sinks to the ground?
In: Physics
Consider a two-dimensional hexagonal lattice:
(a) Draw the free electron Fermi surface in the reduced zone scheme when the lattice points are occupied by atoms with: i. One valence electron/atom. ii. Two valence electrons/atom.
In: Physics
The following two waves are sent in opposite directions on a horizontal string so as to create a standing wave in a vertical plane: y1(x, t) = (7.60 mm) sin(4.80πx - 520πt) y2(x, t) = (7.60 mm) sin(4.80πx + 520πt), with x in meters and t in seconds. An antinode is located at point A. In the time interval that point takes to move from maximum upward displacement to maximum downward displacement, how far does each wave move along the string?
In: Physics
A particle of mass m is constrained to a circle of radius r0: that is, the potential for the particle is 0 when the
particle is anywhere on that circle and infinite everywhere else,
?(?) = 0 (r=r0)
V(r) = ∞ (? ≠ ?0)
Find the eigenvalues and normalized eigenfunctions of the Hamiltonian for a particle on a ring.
What is the degeneracy of eigenvalues for this system. how many eigenfunctions are
there for each eigenvalue)?
In: Physics
Elastic Collision lab. I'm trying to calculate velocity, momentum, and kinetic energy in an elastic collision. The data I have is this. I tried using these numbers to calculate velocity and momentum but the results show momentum is not conserved as it should be. Is that just error from measurements or am I missing something?
| Car A | Car B |
| length=10cm | length=10cm |
| weight=189.6g | weight=299.7g |
| initial=0.153s |
initial=0s |
| final=-0.705s | final=47.2s |
In: Physics
If we recreated the scene from Fast & Furious 7 and dropped a Challenger SRT® Hellcat Redeye Widebody from a C-130 aircraft at 5,280 ft, how much horsepower would it take to drive past it before it hits the ground if you’re 1 mile away?
In: Physics
A 3000 kg minivan moving east at velocity 45 km/h collides with
a 1000 kg car moving north at
velocity 55 km/h. The two cars lock together, find their velocity
in km/h just after the accident.
In: Physics
The conservation of charge in an electric circuit is closely related to which of the following?
Group of answer choices
Ohm's law
Kirchhoff's junction rule
Kirchhoff's loop rule
Newton's laws
Ampère's law
In: Physics
The galaxy that contains our solar system, the milky way, is approximately a uniform disc of mass 10^12Msun and diameter 175×10^3 light years. Assuming that the center of mass of the galaxy is at rest, estimate the time that it takes the sun to complete one orbit around the galaxy center. A few useful numbers: the mass of the sun Msun = 2 × 10^30kg, 1 light year = 9.46 × 10^15m, and the distance between the sun and the galaxy center d = 26.4 × 10^3 light years.
Use the viral relation PE = -2 KE, and estimate the period using, t=2pir/v
In: Physics
If the mass of the ice in the test tube is
m_ice=15g
mass of warm water used (g) = 70g
Initial temperature of water (in degrees C ) =70C
Equilibrium temperature of ice-water system (in degrees C)
=44C
Calculate the calories of energy required to melt one gram of
ice.
In: Physics
The cube in the figure below has 5 sides grounded and the other side is held at a potential Vo. What is the potential at the center of the cube?
Side note: I can't upload the image for some reason. All it shows is a cube with a shaded face on the right hand with an arrow pointing left into that shaded side, with the label Vo.
In: Physics
Two charges each +q are initially separated by a distance d. If you triple the distance, the magnitude of the force does what?
In: Physics
A 750-g disk sliding along frictionless ice with a speed of 8.5 m/s strikes a stationary rod-disk combo 12-cm from its center-of-mass. This rod-disk combo is made from a 360-g rod that is 35-cm long, with 2 150-g solid disks of radius 7.0-cm attached, one on each end of the rod. After the perfectly elastic collision, the disk moves off along a path that is 28º above its original path, while the rod-disk combo spins about its center-of-mass as it moves off at an angle as well. Using this information, find the translational speed of both objects after the collision, the angular speed of the rod-disk combo, and the angle of its trajectory.
In: Physics
Explain the Enzyme-Based sensors for the assay of glucose. Discuss the reaction mechanism too. Explain in detail working principle with the chemical reactions involved in this measurement.
In: Physics