Select the following correct MC answer for the questions pertaining to the Photoelectric Experiment

1. The quantized nature of photon energy is confirmed by the photoelectric effect since

Select one:

a. only the right number of photons hitting the metal surface consecutively will cause electron ejection.

b. only a photon carrying the right amount energy will eject an electron from the metal surface.

c. only light of the highest intensity will be able to cause electron ejection.

d. any photon, regardless of the energy it carries, will be able to eject an electron.

2. In the photoelectric effect experiment we use a Hg lamp to shine a light on a metal surface encased inside a photocell. One of the things we observe is that the energy of electrons ejected from the metal surface is independent of the intensity of light that shines on that surface. In practice this means that

Select one:

a. if we don’t move the lamp at all the photoelectric effect cannot take place.

b. if we move the lamp further away from the photocell than the photocurrent (amount of ejected electrons) will increase.

c. if we move the lamp closer to the photocell nothing will happen to the photocurrent (amount of ejected electrons).

d. if we move the lamp closer to the photocell we will increase the photocurrent (amount of ejected electrons) without increasing individual electron’s energy.

3. In the photoelectric effect experiment we use a Hg lamp to shine a light on a metal surface encased inside a photocell. There are multiple filters mounted on the front of the photocell to help us separate the light from the lamp into single-wavelength beams. Which of the following statements is true?

Select one:

a. Knowing the wavelength of the incoming photons does not help us determine the energy of the ejected electrons.

b. Even if we had monochromatic light source, we would still need filters to separate its constituent wavelengths.

c. Without the filters the photoelectric effect cannot occur.

d. Without the filters the photoelectric effect will still happen, but we will have no way to determine which electron was ejected by which photon wavelength.

4. The sign (positive or negative) on the value of the work function gives us an indication of the direction of energy flow between the metal surface (the system) and the environment around it (the surroundings) during the photoelectric effect. The sign on the work function is interpreted from the point of view of the system (the metal surface). For example, if the work function is positive the energy is flowing into the system from the surroundings (i.e. the energy of the system is increasing). Which of the following statements is true?

Select one:

a. We expect the work function to be positive, because energy must be given to the system for an electron to be ejected.

b. We expect the work function to be positive, because energy must be released by the system for an electron to be ejected.

c. We expect the work function to be negative, because energy must be released by the system for an electron to be ejected.

d. We expect the work function to be negative, because energy must be given to the system for an electron to be ejected.

Diffraction grating produces its third-order bright band at an angle of 79.4 ∘ for light of wavelength 791 nm .

Part A

Find the number of slits per centimeter for the grating.

n = 

Part B

Find the angular location of the first-order bright band.

θ1 = 

Part C

Find the angular location of the second-order bright band.

θ2 = 

Part D

Will there be a fourth-order bright band?

A stone with a weight of 5.25 N is launched vertically from ground level with an initial speed of 19.0 m/s, and the air drag on it is 0.261 N throughout the flight. What are (a) the maximum height reached by the stone and (b) its speed just before it hits the ground?

A copper block is removed from a 299

The Mars Reconnaissance Orbiter (launched on 8/12/2005) achieved a nearly circular orbit in September 2006 with a period of T = 6.72 x 10³ s. The mass, M, of Mars is 6.417 x 10²³ kg and its radius, R_Mars, is 3.39 x 10⁶ m.

The mass, m, of the Orbiter is 1,031 kg.

1) The Net Radial Force, ΣF_r, acting on the Orbiter as it orbits Mars, is due to the gravitational force between it and Mars. ΣF_r = GMm/r², where r is the orbital radius.

True or False

2) This Net Radial Force, ΣF_r, is also equal to mv²/r = m(2π/T)²r.

True or False

3) Accordingly, r = [GM(T/2π)²]^1/3

True or False

4) The speed, v, and the radius, r, of the Orbiter depend on the Orbiter's mass.

True or False

5) The Orbiter is _____x 10⁶ m from the center of Mars. Show your answer with the correct number of significant figures.

True or False

6) How many times does the Orbiter circle Mars in one earth day? (Show three significant figures in your answer. Don't try to use exponential notation. Use numbers like 3.76 or 15.9)

7) The value of g, gravitational acceleration, near the surface of Mars is ______ m/s².

8) An engineer is planning to put another satellite around Mars with a radius of r = 4.000 x 10⁷ m. Its speed in m/s would be:

9) What is the period, T, of the above planned satellite in earth days (to 2 significant figures)?

1. A roller coaster car has a mass of 250 Kg. The car is towed to the top of a 30 m hill where it is released from rest and allowed to roll.   The car plunges down the hill, then up an 8 m hill and through a loop with a radius of 8 m. Assuming no friction: (8 points)

1. What is the potential energy of the car at the top of the 30 m hill?

2. What are the Kinetic Energy and the speed of the car at the bottom of the 30 m hill?

3. What are the Kinetic Energy and the speed of the car at the top of the 8 m hill?

4. If the hill makes an angle of 60 ° with the horizontal and the car takes 15 seconds to be towed up the 30 m hill, determine the length of the hill, the velocity of the car, the force required to tow the car up the hill, and the power of the motor pulling the car up the hill.

Please type your answer, Please do not write on the Paper and Post t.

A particle of mass 0.350 kg is attached to the 100-cm mark of a meterstick of mass 0.150 kg. The meterstick rotates on the surface of a frictionless, horizontal table with an angular speed of 6.00 rad/s.

(a) Calculate the angular momentum of the system when the stick is pivoted about an axis perpendicular to the table through the 50.0-cm mark.

(b) Calculate the angular momentum of the system when the stick is pivoted about an axis perpendicular to the table through the 0-cm mark.

Two long straight parallel wires are 11 cm apart. Wire A carries 2.0-A current. Wire B's current is 5.0 A in the same direction.

Determine the magnetic field magnitude due to wire A at the position of wire B.

Determine the magnetic field due to wire B at the position of wire A

Are these two magnetic fields equal and opposite?

Determine the force per unit length on wire A due to wire B.

Determine the force per unit length on wire B due to wire A.

Are these two forces per unit length equal and opposite?

3) The very first magnetic resonance imaging (MRI) devices employed multi-layer copper solenoids, like the one shown in the figure below. The solenoid dimensions were: length = 2 m and inner radius = 0.4 m. The required magnetic field was 0.3 T. Due to thermal considerations, the copper wire conductor was chosen to have a square cross-section, 10 mm×10 mm, which limited the maximum current in the conductor to 1,000 A.

A) What is the minimum number of solenoid layers needed to achieve the required magnetic field? Assume that the conductor in each layer is tightly wound on a cylinder, without any gaps.

B) For the chosen number of layers and using the copper resistivity value at room temperature, estimate the electrical power consumption of this solenoid at 0.3 T.

This year, three scientists won the Nobel Prize in Physics. Give a brief summary of their research and provide examples of common applications of their work.

A sinusoidal wave is traveling on a string with speed 34.9 cm/s. The displacement of the particles of the string at x = 5.9 cm is found to vary with time according to the equation
y = (3.9 cm) sin[1.2 - (7.1 s^-1)t].
The linear density of the string is 4.8 g/cm. What are (a) the frequency and (b) the wavelength of the wave? If the wave equation is of the form
y(x,t) = y_m sin(kx - ωt),
what are (c) y_m, (d) k, and (e) ω, and (f) the correct choice of sign in front of ω? (g) What is the tension in the string?

Consider a beam of white light striking a face of an equilateral prism at an incident angle of Theta(1)= 50

IP A charge of 18.0 μCμC is held fixed at the origin.

Part A:

If a -7.00 μCμC charge with a mass of 3.40 gg is released from rest at the position (0.925 mm, 1.17 mm), what is its speed when it is halfway to the origin?

Part B:

Suppose the -7.00 μCμC charge is released from rest at the point xx = 1212(0.925mm) and yy = 1212(1.17mm). When it is halfway to the origin, is its speed greater than, less than, or equal to the speed found in part A?

Suppose the -7.00  charge is released from rest at the point  = (0.925) and  = (1.17). When it is halfway to the origin, is its speed greater than, less than, or equal to the speed found in part A?

Part D

Find the speed of the charge for the situation described in part B.

In a Young's double-slit experiment, two parallel slits with a slit separation of 0.135 mm are illuminated by light of wavelength 579 nm, and the interference pattern is observed on a screen located 4.15 m from the slits.

(a) What is the difference in path lengths from each of the slits to the location of the center of a fifth-order bright fringe on the screen?
µm

(b) What is the difference in path lengths from the two slits to the location of the center of the fifth dark fringe away from the center of the pattern?
µm

a)An infinite (very large) charged plate with charge density σ is parallel to the xz plane and passes through the point (0, 5, 0). Calculate the electric field of the plate.
For points and> 5, where is the electric field directed? How much is E⃗
for points and <5 where is the electric field directed? how much is E⃗
b) Thinking about the previous example, now in addition to the loaded plate from the previous exercise, think that there is an extra plate with −σ load density, parallel to the xz plane but passing through the origin.
Calculate the electric field E⃗ for points between the plates.
(This system is called a condenser.)