Amber (n = 1.546) is a transparent brown-yellow fossil resin. An insect, trapped and preserved within the amber, appears to be 1.8 cm beneath the surface when viewed directly from above. How far below the surface is the insect actually located?

Explain echo and doppler effect in details

Answer/Complete the Following Concerning the High Plains Aquifer:

• What is an aquifer?
• What is the High Plains Aquifer and where is it located?
• When and how did the High Plains Aquifer form?
• What is the primary use of the High Plains Aquifer, how has this usage changed over time, and how heavily is water withdrawn now?
• Define and describe two consequences that occur as a result of excessive tapping of aquifer water. in geography

A siren emitting a sound of frequency 1100 Hz moves away from you toward the face of a cliff at a speed of 15 m/s. Take the speed of sound in air as 330 m/s.

(a) What is the frequency of the sound you hear coming directly from the siren? (Give your answer to at least one decimal place.) Hz

(b) What is the frequency of the sound you hear reflected off the cliff? (Give your answer to at least one decimal place.) Hz

(c) What is the beat frequency between the two sounds?

Hz Is it perceptible (less than 20 Hz)? Yes, No

1. All the gas molecules (1028of them) are compressed so that they only fill 1/3rdof the room.They are then allowed to expand to fill the whole room. First, why do they expand to fill theroom, and what is the increase in entropy of this system, as well as the increase in entropy ofthe “universe” during this expansion?

Explain the three types of tectonic plate boundaries, and the three sub-types of the one boundary. In your explanation you must include:

1. The type of boundary
2. What is happening at this boundary
3. The type of features/events that are common with this boundary
4. An example of where this type of boundary exists (on this one, make sure you explain what has happened at this specific location) in geography

A dielectric cylinder of permitivity ε rotates around its axis with angular velocity ω. If it is inside a uniform magnetic field B parallel yo the cylinder's axis, find the polarización charge in the cylinder

Consider the Stark effect with a constant external electric field for the states n=3 of the Hidrogen atom without considering spin. Using perturbation theory for degenerated states in first order, find the eigenvalues and their degeneration.

In the Daytona 500 auto race, a Ford Thunderbird and a Mercedes Benz are moving side by side down a straight-away at 74.5 m/s. The driver of the Thunderbird realizes he must make a pit stop, and he smoothly slows to a stop over a distance of 250 m. He spends 5.00 s in the pit and then accelerates out, reaching his previous speed of 74.5 m/s after a distance of 330 m. At this point, how far has the Thunderbird fallen behind the Mercedes Benz, which has continued at a constant speed?

1. An electron moves with velocity of 6.0x10⁶ m/s perpendicular to a magnetic field facing out of the page. The circular path of the electron has radius of 3 mm. (a) draw sketch of the magnetic field and path of electron. Determine (b) the magnitude of the B field, (c) acceleration of the electron (m_e= 9.11x10^-31 kg, e=60x10^-19 C).
2. When a magnetic flux through 5 loops of wire increases by 30.0 T.m², an average current of 40.0 A is induced in the wire. Assuming that the wire has a resistance of 2.5 ohms, (a) over what period of time did the flux increases? (b) If the area of the loop is 0.08 m², perpendicular to the magnetic field and the flux change is only due to change of magnetic field, how much the field changes during this time period ?
3. A metal airplane with a wingspan of 30.0 m flies horizontally along a north-south route in the northern hemisphere at a constant speed of 320.0 km/h in a region where the vertical component of the Earth’s magnetic field is 5.0 x10^-5 T. (a) What is the magnitude of the induced emf between the tips of the wings. (b) If the easternmost wing tip is negatively charged, is the plane flying due north or due south, explain?

1. ​A negative pion ( ) is a particle that​ ​has a mass equal to 2.49 x 10​-28​ kg. What is the rest π− energy of the pion in joules and in megaelectron-volts (MeV)?

2. ​A negative pion is observed to be moving to the right at 0.950​c ​ .​ ​ What is the negative pion’s total energy (in MeV) ​and ​ momentum at this speed?

3. ​The negative pion decays (splits) into two particles, a muon ( ) and a neutrino ( ). The μ υ muon has a rest energy of 106 MeV, and the neutrino is (virtually) massless. After the decay, the total energy of the neutrino is observed to be 187 MeV. How much total energy must the ​muon ​ have?

4. ​ At what speed is the muon observed to be travelling?

5.  On Earth in 2017, the amount of electrical energy used was 8.03 x 10​16​ J. How much mass would need to be converted directly to energy to release this much energy?

6.  Imagine this conversion of mass to energy all came from nuclear fission reactions of the element uranium. Assume the reaction is 35% efficient: that means that the mass you calculated above to produce the electrical energy is only 35% of the total mass that was converted to energy. The other 65% was “waste” energy. How much total mass was converted to all kinds of energy?

7. The amount of mass actually converted to energy is just a small fraction of the original uranium’s mass: just 0.0000885 of the original mass (0.00885%). Given all these assumptions, how much total mass of uranium must be available to create all the electrical energy used in the world, in one year? (The total reserve of uranium-235 currently available is about 37,000 tonnes, or 3.7 x 10​7​ kg.).

. If a string fixed at both ends resonates in its fundamental mode with a frequency of 150 Hz, at which of the following frequencies will it not resonate?

2. (a). Prove that the sum of the two projection operators is not a projection operator, unless the multiplication of the two projection operators produces a zero value.

(b). Prove that the result of the multiplication of two projection operators is not a projection operator, unless the two projection operators are hermitian.