A particle is represented by the following wave function:

(a) Use the normalization condition to find C ?

(b) Evaluate the probability to find the particle in an interval of width 0.01 at x = 0.1 (that is, between x = 0.095 and x = 0.105.)(No integral is necessary for this calculation.)

(c)Evaluate the probability to find the particle between x=0.19 and x=0.35.

(d) Find the average values of x and x², and the uncertainty of x: Δx=√(x²)_av-(x_av)²

What is the acceptance cone angle of a multimode optical fiber assuming that light is passing through some coupling oil at the LED driver source end and that oil has refractive index about that of olive oil, where 1) the core is high-index flint glass and the cladding is Plexiglas 2) the core is crown class and the clad is soda lime glass?

The capacity of a storage battery, such as those used in automobile electrical systems, is rated in ampere-hours (A?h). A 50 A?h battery can supply a current of 50 A for 1.0 h, or 25 A for 2.0 h, and so on.

(I need some help on Part A & C Thank you : )

Part A

What total energy can be supplied by a 10V , 80A?h battery if its internal resistance is negligible?

Express your answer using two significant figures.

Part B

What volume (in liters) of gasoline has a total heat of combustion equal to the energy obtained in part (a)? (See Section 17.6; the density of gasoline is 900 kg/m3.)

Express your answer using two significant figures.

Ans: 7.0*10^-2

Part C

If a generator with an average electrical power output of 0.45kW is connected to the battery, how much time will be required for it to charge the battery fully?

Express your answer using two significant figures.

One of the conditions for Uniform Circular Motion is that the acceleration be centripetal and directed toward the center of motion. What would the effect be of a non-zero acceleration parallel to the tangential velocity?

The following data table gives the position of an object during freefall. The time interval between adjacent points is 1/60 seconds.

What is the instantaneous velocity (in cm/s) of the object when it is at position 9?

1. The temperature to which air must be cooled to result in a relative humidity of 100% is called the

a) dew point temperature b) condensation point temperature c) wind cooling cool factor d) absolute temperature

2. Air moving from a higher altitude to a lower altitude on the side of a mountain

a) is cooled since cool air is more dense b) will have a higher absolute humidity c) will have a higher relative humidity d) is warmed by compression

3. The intertropical convergence zone has tropical rain forests because

a) sinking air warms, increasing the relative humidity b) rising air cools as it is pushed upward c) it is a high pressure belt of descending air d) dry rising air is moved horizontally by the jet stream

4. The principal source of water vapor in Earth's hydrologic cycle is

a) the ocean b) lakes, rivers, and soil c) plants and animals d) burning of wood, fossil fuels, and crop residue

5. Showers or thunderstorms are usually associated with which type of cloud?

a) stratus b) cirrus c) cumulus d) any of the above

6. A cold front is the boundary between

a) the southward edge of a cold air mass b) the northward edge of a warm air mass c) a moving warm air mass and a cooler air mass d) a moving cold air mass and a warmer air mass

7. Most of the southeastern part of the United States has a climate that is

a) Mediterranean b) humid continental c) marine d) humid subtropical

Why do the passengers in high-altitude jet planes feel the

sensation of weight while passengers in the International Space Station do not?

A pair of in-phase stereo speakers is placed side by side, 0.80m apart. You stand directly in front of one of the speakers, 1.2m from the speaker. What is the lowest frequency that will produce constructive interference at your location?

3. (a) Common transparent tape becomes charged when pulled from a dispenser. If one piece is placed above another, the repulsive force can be great enough to support the top piece's weight. Assuming equal point charges (only an approximation), calculate the magnitude of the charge if electrostatic force is great enough to support the weight of a9.00 mg piece of tape held 1.10 cm above another. (The magnitude of this charge is consistent with what is typical of static electricity.)

5. (a) Two point charges totaling 8.00 µC exert a repulsive force of 0.100 N on one another when separated by 0.553 m. What is the charge on each?
smallest charge

largest charge


5(b). What is the charge on each if the force is attractive?
smallest charge

largest charge

A 0.50-?F and a 1.4-?F capacitor (C1 and C2, respectively) are connected in series to a 18-V battery.

Calculate the potential difference across each capacitor.

Calculate the charge on each capasitor.

Calculate the potential difference across each capacitor assuming the two capacitors are in parallel

Calculate the charge on each capasitor assuming the two capacitors are in parallel.

In a diagnostic x-ray procedure, 5.25*10^10 photons are absorbed by tissue with a mass of 0.590kg . The x-ray wavelength is 2.00*10^-2nm . What is the total energy absorbed by the tissue? What is the equivalent dose in rem?

A student makes a short electromagnet by winding 480 turns of wire around a wooden cylinder of diameter d = 3.5 cm. The coil is connected to a battery producing a current of 4.8 A in the wire. (a) What is the magnitude of the magnetic dipole moment of this device? (b) At what axial distance z >> d will the magnetic field have the magnitude 4.7 µT (approximately one-tenth that of Earth's magnetic field)?

In moving away from Planet Z, a spacecraft fires a probe with a speed of 0.19 c, relative to the spacecraft, back toward Z.
If the speed of the spacecraft is 0.50 c relative to Z, what is the velocity of the probe as seen by an observer on Z?
                           c,samedirectionasspacecraft

By holding a bike wheel (mass m, radius r, so that it rotates freely about its vertical center axis) and standing on a circular platform (a disk of mass M and radius R, free to rotate about its vertical center axis), describe a method to measure your mass using a stopwatch (an interesting balance!). Explain your method using physics equations and manipulations to prove that your method will work