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physics
physics scientists and engineers
Questions and Answers of
Physics Scientists and Engineers
The temperature increases from 300 K to 1200 K as a gas undergoes the process shown in FIGURE Q18.11. What is the final pressure? p (atm) 2- 0+ FIGURE Q18.11
What volume of aluminum has the same number of atoms as 10 cm3 of mercury?
A gas undergoes the process shown in FIGURE Q18.10. By what factor does the temperature change? FIGURE Q18.10
1.0 mol of gold is shaped into a sphere. What is the sphere’s diameter?
A gas is in a sealed container. By what factor does the gas pressure change if:a. The volume is doubled and the temperature is tripled?b. The volume is halved and the temperature is tripled?
An element in its solid phase has mass density 1750 kg/m3 and number density 4.39 × 1028 atoms/m3. What is the element’s atomic mass number?
a. A sample of water vapor in an enclosed cylinder has an initial pressure of 500 Pa at an initial temperature of -0.01°C.A piston squeezes the sample smaller and smaller, without limit. Describe
What is the number density of(a) Aluminum(b) Lead?
An aquanaut lives in an underwater apartment 100 m beneath the surface of the ocean. Compare the freezing and boiling points of water in the aquanaut’s apartment to their values at the surface.Are
How many atoms are in a 2.0 cm × 2.0 cm × 2.0 cm cube of aluminum?
A gas is in a sealed container. The gas pressure is tripled and the temperature is doubled.a. Does the number of moles of gas in the container increase, decrease, or stay the same?b. By what factor
How many moles are in a 2.0 cm × 2.0 cm × 2.0 cm cube of copper?
A gas is in a sealed container. By what factor does the gas temperature change if:a. The volume is doubled and the pressure is tripled?b. The volume is halved and the pressure is tripled?
A hollow aluminum sphere with outer diameter 10.0 cm has a mass of 690 g. What is the sphere’s inner diameter?
The cylinder in FIGURE Q18.4 is divided into two compartments by a frictionless piston that can slide back and forth. If the piston is in equilibrium, is the pressure on the left side greater than,
What is the diameter of a copper sphere that has the same mass as a 10 cm × 10 cm × 10 cm cube of aluminum?
a. Is there a highest temperature at which ice can exist? If so, what is it? If not, why not?b. Is there a lowest temperature at which water vapor can exist? If so, what is it? If not, why not?
The nucleus of a uranium atom has a diameter of 1.5 × 10-14 m and a mass of 4.0 × 10-25 kg. What is the density of the nucleus?
The sample in an experiment is initially at 10°C. If the sample’s temperature is doubled, what is the new temperature in °C?
What volume of water has the same mass as 100 cm3 of gold?
Rank in order, from highest to lowest, the temperatures T1 = 0 K, T2 = 0°C, and T3 = 0°F.
The three identical loudspeakers in FIGURE P17.71 play a 170 Hz tone in a room where the speed of sound is 340 m/s. You are standing 4.0 m in front of the middle speaker. At this point, the amplitude
A 44-cm-diameter water tank is filled with 35 cm of water. A 3.0-mm-diameter spigot at the very bottom of the tank is opened and water begins to flow out. The water falls into a 2.0-cm-diameter,
The 40-cm-long tube of FIGURE P17.54 has a 40-cm-long insert that can be pulled in and out. A vibrating tuning fork is held next to the tube. As the insert is slowly pulled out, the sound from the
Deep-sea divers often breathe a mixture of helium and oxygen to avoid getting the “bends” from breathing high pressure nitrogen. The helium has the side effect of making the divers’ voices
Western music uses a musical scale with equal temperament tuning, which means that any two adjacent notes have the same frequency ratio r. That is, notes n and n + 1 are related by fn+1 = rfn for all
FIGURE EX17.27 shows the circular wave fronts emitted by two wave sources.a. Are these sources in phase or out of phase? Explain.b. Make a table with rows labeled P, Q, and R and columns labeled r1,
In music, two notes are said to be an octave apart when one note is exactly twice the frequency of the other. Suppose you have a guitar string playing frequency f0. To increase the frequency by an
An organ pipe is tuned to exactly 384 Hz when the room temperature is 20°C. If the room temperature later increases to 22°C, does the pipe’s frequency increase, decrease, or stay the same?
FIGURE EX17.3a is a snapshot graph at t = 0 s of two waves approaching each other at 1.0 m/s. At what time was the snapshot graph in FIGURE EX17.3b taken? (a) (b) D (cm) at t = 0s D (cm) 1.0 m/s 1-
FIGURE Q17.3 shows the displacement of a standing sound wave in a 32-cm-long horizontal tube of air open at both ends. a. What mode (m-value) is this?b. Are the air molecules moving horizontally or
FIGURE EX17.2 is a snapshot graph at t = 0 s of two waves approaching each other at 1.0 m/s. Draw six snapshot graphs, stacked vertically, showing the string at 1 s intervals from t = 1 s to t = 6 s.
If you take snapshots of a standing wave on a string, there are certain instants when the string is totally flat. What has happened to the energy of the wave at those instants?
FIGURE EX17.1 is a snapshot graph at t = 0 s of two waves approaching each other at 1.0 m/s. Draw six snapshot graphs, stacked vertically, showing the string at 1 s intervals from t = 1 s to t = 6
FIGURE Q17.1 shows a standing wave oscillating on a string at frequency f0. a. What mode (m-value) is this?b. How many antinodes will there be if the frequency is doubled to 2f0? FIGURE Q17.1
A water wave is a shallow-water wave if the water depth d is less than ≈ λ/10. It is shown in hydrodynamics that the speed of a shallow-water wave is v = √gd, so waves slow down as they move
Some modern optical devices are made with glass whose index of refraction changes with distance from the front surface. FIGURE CP16.84 shows the index of refraction as a function of the distance into
A communications truck with a 44-cm-diameter dish receiver on the roof starts out 10 km from its base station. It drives directly away from the base station at 50 km/h for 1.0 h, keeping the receiver
One way to monitor global warming is to measure the average temperature of the ocean. Researchers are doing this by measuring the time it takes sound pulses to travel underwater over large distances.
You have just been pulled over for running a red light, and the police officer has informed you that the fine will be $250. In desperation, you suddenly recall an idea that your physics professor
Wavelengths of light from a distant galaxy are found to be 0.50% longer than the corresponding wavelengths measured in a terrestrial laboratory. Is the galaxy approaching or receding from the earth?
A loudspeaker, mounted on a tall pole, is engineered to emit 75% of its sound energy into the forward hemisphere, 25% toward the back. You measure an 85 dB sound intensity level when standing 3.5 m
A starship approaches its home planet at a speed of 0.10c. When it is 54 × 106 km away, it uses its green laser beam (λ = 540 nm) to signal its approach.a. How long does the signal take to travel
Show that the Doppler frequency f- of a receding source is f- = f0/(1 + vs /v).
A loudspeaker on a pole is radiating 100 W of sound energy in all directions. You are walking directly toward the speaker at 0.80 m/s.When you are 20 m away, what are(a) The sound intensity level
An avant-garde composer wants to use the Doppler effect in his new opera. As the soprano sings, he wants a large bat to fly toward her from the back of the stage. The bat will be outfitted with a
A physics professor demonstrates the Doppler effect by tying a 600 Hz sound generator to a 1.0-m-long rope and whirling it around her head in a horizontal circle at 100 rpm. What are the highest and
The intensity of a sound source is described by an inverse square law only if the source is very small (a point source) and only if the waves can travel unimpeded in all directions. For an extended
Your ears are sensitive to differences in pitch, but they are not very sensitive to differences in intensity. You are not capable of detecting a difference in sound intensity level of less than 1 dB.
A compact sound source radiates 25 W of sound energy uniformly in all directions. What is the ratio of the sound intensity at a distance of 1.0 m to that at 5.0 m in(a) A two-dimensional universe,(b)
A distant star system is discovered in which a planet with twice the radius of the earth and rotating 3.0 times as fast as the earth orbits a star with a total power output of 6.8 × 1029 W.a. If the
The sound intensity 50 m from a wailing tornado siren is 0.10 W/m2.a. What is the intensity at 1000 m?b. The weakest intensity likely to be heard over background noise is ≈ 1 цW/m2. Estimate the
LASIK eye surgery uses pulses of laser light to shave off tissue from the cornea, reshaping it. A typical LASIK laser emits a 1.0-mm-diameter laser beam with a wavelength of 193 nm. Each laser pulse
An AM radio station broadcasts with a power of 25 kW at a frequency of 920 kHz. Estimate the intensity of the radio wave at a point 10 km from the broadcast antenna.
Is the displacement D(x, t) = (3.0 mm) ei(2.0x+8.0t+5.0), where x is in m, t is in s, and i = √-1, a possible traveling wave? If so, what is the wave speed? Complex exponentials are often used to
Is the displacement D(x, t) = (0.10 - 0.10x2 + xt - 2.5t2) m, where x is in m and t is in s, a possible traveling wave? If so, what is the wave speed?
A sinusoidal wave travels along a stretched string. A particle on the string has a maximum speed of 2.0 m/s and a maximum acceleration of 200 m/s2. What are the frequency and amplitude of the wave?
FIGURE P16.46 is a snapshot graph at t = 0 s of a 5.0 Hz wave traveling to the left.a. What is the wave speed?b. What is the phase constant of the wave?c. Write the displacement equation for this
The G string on a guitar is a 0.46-mm-diameter steel string with a linear density of 1.3 g/m. When the string is properly tuned to 196 Hz, the wave speed on the string is 250 m/s. Tuning is done by
A string that is under 50.0 N of tension has linear density 5.0 g/m. A sinusoidal wave with amplitude 3.0 cm and wavelength 2.0 m travels along the string. What is the maximum speed of a particle on
The string in FIGURE P16.60 has linear density μ. Find an expression in terms of M, μ, and θ for the speed of waves on the string. -Frictionless
A wire is made by welding together two metals having different densities. FIGURE P16.59 shows a 2.00-m-long section of wire centered on the junction, but the wire extends much farther in both
FIGURE P16.58 shows two masses hanging from a steel wire.The mass of the wire is 60.0 g. A wave pulse travels along the wire from point 1 to point 2 in 24.0 ms. What is mass m? 2.0 m 140° 2.0 m 4.0
FIGURE P16.57 shows a snapshot graph of a wave traveling to the right along a string at 45 m/s. At this instant, what is the velocity of points 1, 2, and 3 on the string? D (cm) 45 m/s 2, 3 -2- 30 cm
A wave on a string is described by D(x, t) = (2.00 cm) × sin[(12.57 rad/m)x - (638 rad/s)t], where x is in m and t in s. The linear density of the string is 5.00 g/m. What area. The string
A wave on a string is described by D(x, t) = (3.0 cm) × sin[2π(x/(2.4 m) + t/(0.20 s) + 1)], where x is in m and t is in s.a. In what direction is this wave traveling?b. What are the wave speed,
A sound wave is described by D(y, t) = (0.0200 mm) × sin[(8.96 rad/m)y + (3140 rad/s)t + π/4 rad], where y is in m and t is in s.a. In what direction is this wave traveling?b. Along which axis is
A 20.0-cm-long, 10.0-cm-diameter cylinder with a piston at one end contains 1.34 kg of an unknown liquid. Using the piston to compress the length of the liquid by 1.00 mm increases the pressure by
Helium (density 0.18 kg/m3 at 0°C and 1 atm pressure) remains a gas until the extraordinarily low temperature of 4.2 K.What is the speed of sound in helium at 5 K?
Earthquakes are essentially sound waves—called seismic waves—traveling through the earth. Because the earth is solid, it can support both longitudinal and transverse seismic waves.The speed of
A helium-neon laser beam has a wavelength in air of 633 nm. It takes 1.38 ns for the light to travel through 30 cm of an unknown liquid. What is the wavelength of the laser beam in the liquid?
One cue your hearing system uses to localize a sound (i.e., to tell where a sound is coming from) is the slight difference in the arrival times of the sound at your ears. Your ears are spaced
Oil explorers set off explosives to make loud sounds, then listen for the echoes from underground oil deposits. Geologists suspect that there is oil under 500-m-deep Lake Physics. It’s known that
String 1 in FIGURE P16.47 has linear density 2.0 g/m and string 2 has linear density 4.0 g/m.A student sends pulses in both directions by quickly pulling up on the knot, then releasing it.What should
FIGURE P16.45 is a history graph at x = 0 m of a wave traveling in the positive x-direction at 4.0 m/s. a. What is the wavelength?b. What is the phase constant of the wave?c. Write the displacement
A mother hawk screeches as she dives at you. You recall from biology that female hawks screech at 800 Hz, but you hear the screech at 900 Hz. How fast is the hawk approaching?
A bat locates insects by emitting ultrasonic “chirps” and then listening for echoes from the bugs. Suppose a bat chirp has a frequency of 25 kHz. How fast would the bat have to fly, and in what
An opera singer in a convertible sings a note at 600 Hz while cruising down the highway at 90 km/h. What is the frequency heard bya. A person standing beside the road in front of the car?b. A person
A friend of yours is loudly singing a single note at 400 Hz while racing toward you at 25.0 m/s on a day when the speed of sound is 340 m/s.a. What frequency do you hear?b. What frequency does your
The sound intensity level 5.0 m from a large power saw is 100 dB. At what distance will the sound be a more tolerable 80 dB?
A loudspeaker on a tall pole broadcasts sound waves equally in all directions. What is the speaker’s power output if the sound intensity level is 90 dB at a distance of 20 m?
What are the sound intensity levels for sound waves of intensity (a) 3.0 × 10-6 W/m2(b) 3.0 × 10-2 W/m2?
The sun emits electromagnetic waves with a power of 4.0 × 1026 W. Determine the intensity of electromagnetic waves from the sun just outside the atmospheres of Venus, the earth, and Mars.
During takeoff, the sound intensity level of a jet engine is 140 dB at a distance of 30 m. What is the sound intensity level at a distance of 1.0 km?
A concert loudspeaker suspended high above the ground emits 35 W of sound power. A small microphone with a 1.0 cm2 area is 50 m from the speaker.a. What is the sound intensity at the position of the
The intensity of electromagnetic waves from the sun is 1.4 kW/m2 just above the earth’s atmosphere. Eighty percent of this reaches the surface at noon on a clear summer day. Suppose you think of
A sound wave with intensity 2.0 × 10-3 W/m2 is perceived to be modestly loud. Your eardrum is 6.0 mm in diameter. How much energy will be transferred to your eardrum while listening to this sound
A sound source is located somewhere along the x-axis. Experiments show that the same wave front simultaneously reaches listeners at x = -7.0 m and x = +3.0 m.a. What is the x-coordinate of the
A loudspeaker at the origin emits a 120 Hz tone on a day when the speed of sound is 340 m/s. The phase difference between two points on the x-axis is 5.5 rad. What is the distance between these two
A spherical wave with a wavelength of 2.0 m is emitted from the origin. At one instant of time, the phase at r = 4.0 m is π rad. At that instant, what is the phase at r = 3.5 m and at r = 4.5 m?
A circular wave travels outward from the origin. At one instant of time, the phase at r1 = 20 cm is 0 rad and the phase at r2 = 80 cm is 3π rad. What is the wavelength of the wave?
The density of mercury is 13,600 kg/m3. What is the speed of sound in mercury at 20°C?
What is the speed of sound in air(a) On a cold winter day in Minnesota when the temperature is –25°F, (b) On a hot summer day in Death Valley when the temperature is 125°F?
A 440 Hz sound wave in 20°C air propagates into the water of a swimming pool. What are the wave’s(a) Frequency(b) Wavelength in the water?
A light wave has a 670 nm wavelength in air. Its wavelength in a transparent solid is 420 nm.a. What is the speed of light in this solid?b. What is the light’s frequency in the solid?
a. How long does it take light to travel through a 3.0-mm thick piece of window glass?b. Through what thickness of water could light travel in the same amount of time?
Cell phone conversations are transmitted by high-frequency radio waves. Suppose the signal has wavelength 35 cm while traveling through air. What are the(a) Frequency(b) Wavelength as the signal
A hammer taps on the end of a 4.00-m-long metal bar at room temperature. A microphone at the other end of the bar picks up two pulses of sound, one that travels through the metal and one that travels
a. Telephone signals are often transmitted over long distances by microwaves. What is the frequency of microwave radiation with a wavelength of 3.0 cm?b. Microwave signals are beamed between two
a. An FM radio station broadcasts at a frequency of 101.3 MHz. What is the wavelength?b. What is the frequency of a sound source that produces the same wavelength in 20°C air?
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