An object is placed in front of a lens with focal length f₁, a second lens is placed at a distance of d from the first lens and has focal length f₂. Given that the object has a height of h, find the height of the final image.

Describe a non-deterministic two-tape TM for testing whetehr the string on the first tape is a substring of the string in the second a tape. choose your own test cases

Given the angle of incidence and the angle of refraction, in a material of index of refraction n, find the speed of light in the material.

A particular HeNe laser operating at 632.8 nm has a tube that is 40 cm long. The operating gas temperature is about 130 C.

Calculate the frequency separation and the wavelength separation of the laser modes. How do these change as the tube warms up during operation? Taking the linear expansion coefficient to be 10-6 K-1, estimate the change in the mode frequency separation.

(please calculate the frequency separation and the wavelength separation)

In 2008, S. Stephen-Wales from Canada set the world record for his age group (15-19) for climbing the 320 m vertical height empire state building stairs. Suppose that he climbed the first 300 m in 12 minutes 30 seconds. Estimate the total power his body needed to produce in climbing the 300m if his body's bio-mechanical efficiency was 25%. Assume that his mass was 50kg.

Sam, whose mass is 70kg , takes off across level snow on his jet-powered skis. The skis have a thrust of 280N and a coefficient of kinetic friction on snow of 0.15. Unfortunately, the skis run out of fuel after only 12s .How far has Sam traveled when he finally coasts to a stop?

Daylight gets reflected from a freestanding soap film and appears reddish (wavelength = 660 nm) when observed from a direction perpendicular to the film surface. Assume a refractive index of n = 1.33.

(a) What are the two smallest possible thicknesses of the soap film which fit to your observation?
(b) Which typical wavelength and related color do you observe when watching the film from an angle of 50° (relative to the surface normal) using the smallest possible thickness of the film from (a)?

what is the difference between oil,mercury and red water on barometer?

Moon effect. Some people believe that the Moon controls their activities. If the Moon moves from being directly on the opposite side of Earth from you to being directly overhead, by what percentage does (a) the Moon's gravitational pull on you increase and (b) your weight (as measured on a scale) decrease? Assume that the Earth–Moon (center-to-center) distance is 3.82 × 108 m, Earth's radius is 6.37 × 106 m, Moon's mass is 7.36 × 1022 kg, and Earth's mass is 5.98 × 1024 kg.

Problem 3

Police car is chasing a speed limit violator car with a Doppler radar installed on the roof. Suppose the speed of sound is 300 m/s. When the police car has a velocity v = 10 m/s in the lab frame, it sends a 30 kHz frequency signal.

3.1 If the violator is moving at 20 m/s, what would be the frequency of the radar signal if received by an instrument installed at the violator car?

3.2 If the police car detected a returning signal at 29 kHz (after bouncing off the violator’s car), what is the velocity of the violator? Describe the situation in words.

Suppose we took a parallel plates capacitor: the plates have area 1 by 1 meter and they are separated by 1 cm with vacuum.

3.3 What would be the force between the two plates if we deposit a charge of 1 Coulomb.

3.4 How will the force in 3.3 change if we fill the space between the capacitors plate with a silicon, which has a dielectric relative permittivity of 10.

Suppose we have made a different capacitor, which consists of two oppositely charged small spheres with a radius R separated by a distance D. Assume R << D and the charge is distributed uniformly on the surface of the sphere. Consider an X-axis originating in the center of the first sphere and going through the center of the second sphere. The two centers are at X = 0 and X =D.

3.5 Sketch the electric field between X = R and X = D-R.

3.6 If once the sphere is given a charge Q and the other –Q, calculate the voltage difference between the two spheres.

3.7 Calculate the capacitance and express it via R, D, and epsilon_0.

An inertial reference system S' moves in the x-direction at speed υ relative to reference system S. The axis x’ slides along the x axis. Considering a uniform electric field in the region between the plates of a large parallel plate capacitor moving with S'. Show that the component of electric field E parallel to the motion is unchanged, that is, Ex = Ex’. [

An electron (q=-1.602x10^(-19)C and m=9.11x10^(-31)kg) is place at the center of an infinite uniformly charged cylinder (ρ=-0.15µC/m^(3)and radius of 5cm) with a speed of 3.2Mm/s radially outward. What is the speed of the electron after it moves 10m? Assume it doesn't hit everything.

Suppose heat is transferred at a rate of 500 W into 1 L of water. The water starts at 20˚C.

a) How much heat is required to raise the water temperature to 100 ˚C? How long does this take?

b) How much heat is required to boil off half the water? How long does this take? Comment on the value compared to part a.

c) Plot temperature vs Q for this heating process. You should only need 3 points for the graph, connected by straight lines. You should have this information from the previous steps.

I am taking physics lab and I can not understand the difference of the sources of errors below:

Random error in measurement

Random intrinsic error

Systematic error in measurement

Systematic intrinsic error

So, can you explain the difference between them please