Exam 1: A: Foundations

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If an operatic aria lasts for 5.75 min,its length expressed in seconds is x s,where x is

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Gamma rays are photons with very high energy. How many visible-light photons with a wavelength of 500 nm would you need to match the energy of a gamma-ray photon with energy 4.1 × 10-13? (h = 6.626 × 10-34 J • s,c = 3.00 × 108 m/s)

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A quantity of ideal gas requires 800 kJ to raise the temperature of the gas by 10.0 K when the gas is maintained at constant volume. The same quantity of gas requires 900 kJ to raise the temperature of the gas by 10.0 K when the gas is maintained at constant pressure. What is the adiabatic constant γ for this gas?

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Consider a spherical Gaussian surface of radius R centered at the origin.A charge Q is placed inside the sphere.To maximize the magnitude of the flux of the electric field through the Gaussian surface,the charge should be located

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When a rigid body rotates about a fixed axis,all the points in the body have the same

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In a photoelectric effect experiment,electrons emerge from a copper surface with a maximum kinetic energy of 1.10 eV when light shines on the surface.The work function of copper is 4.65 eV.Which one of the following values is closest to the wavelength of the light? (h = 6.626 × 10-34 J • s,c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J)

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In the figure,two solenoids are side by side.The switch S,initially open,is closed.The induced current through the resistor R is In the figure,two solenoids are side by side.The switch S,initially open,is closed.The induced current through the resistor R is

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As shown in the figure,three force vectors act on an object.The magnitudes of the forces as shown in the figure are F1 = 80.0 N,F2 = 60.0 N,and F3 = 40.0 N,where N is the standard SI unit of force.The resultant force acting on the object is given by As shown in the figure,three force vectors act on an object.The magnitudes of the forces as shown in the figure are F<sub>1</sub> = 80.0 N,F<sub>2</sub> = 60.0 N,and F<sub>3</sub> = 40.0 N,where N is the standard SI unit of force.The resultant force acting on the object is given by

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At 50.0°C,the average translational kinetic energy of a gas molecule is K.If the temperature is now increased to 100.0°C,the average translational kinetic energy of a molecule will be closest to

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System S' has a velocity u = +0.56c relative to system S,as shown in the figure.The clocks of S and S'are synchronized at t = t' = 0 when the origins O and O' coincide.An event is observed in both systems.The event takes place at x = 800 m and at time t = 3.0 μs as measured by an observer in S.What is the time t' of the event,measured by an observer in S'? System S' has a velocity u = +0.56c relative to system S,as shown in the figure.The clocks of S and S'are synchronized at t = t' = 0 when the origins O and O' coincide.An event is observed in both systems.The event takes place at x = 800 m and at time t = 3.0 μs as measured by an observer in S.What is the time t' of the event,measured by an observer in S'?

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A single slit forms a diffraction pattern,with the first minimum at an angle of 40.0° from central maximum,using monochromatic light of 490-nm wavelength.What is the width of the slit?

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The height of the ceiling in a typical home,apartment,or dorm room is closest to

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Which of following graphs describes simple periodic motion with amplitude 2.00 cm and angular frequency 2.00 rad/s?

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A 0.50-kg object is attached to an ideal massless spring of spring constant 20 N/m along a horizontal,frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. (a)What is the amplitude of vibration? (b)At what location are the kinetic energy and the potential energy of the system the same?

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A 2.50-kg stone is dropped from rest at a height of 3.75 m.What impulse does gravity impart to this stone from the instant it is dropped until it hits the ground,assuming negligible air resistance?

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A coaxial cable consists of an inner cylindrical conductor of radius R1 = 0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R2 = 0.080 m and outer radius R3 = 0.090 m. The inner conductor carries current I1= 4.40 A in one direction,and the outer conductor carries current I2 = 7.70 A in the opposite direction.What is the magnitude of the magnetic field at the following distances from the central axis of the cable? (μ0 = 4π × 10-7 T • m/A) (a)At r = 0.060 m (in the gap midway between the two conductors) (b)At r = 0.150 m (outside the cable)

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One very small uniformly charged plastic ball is located directly above another such charge in a test tube as shown in the figure.The balls are in equilibrium a distance d apart.If the charge on each ball is doubled,the distance between the balls in the test tube would become One very small uniformly charged plastic ball is located directly above another such charge in a test tube as shown in the figure.The balls are in equilibrium a distance d apart.If the charge on each ball is doubled,the distance between the balls in the test tube would become

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Two long parallel wires carry currents of 10 A in opposite directions. They are separated by 40 cm. What is the magnitude of the magnetic field in the plane of the wires at a point that is 20 cm from one wire and 60 cm from the other? (μ0 = 4π × 10-7 T • m/A)

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Coherent monochromatic light of wavelength 632.8 nm passes through a pair of thin parallel slits.The figure shows the central portion of the pattern of bright fringes viewed on a screen 1.40 m beyond the slits.What is the distance between the two slits? Coherent monochromatic light of wavelength 632.8 nm passes through a pair of thin parallel slits.The figure shows the central portion of the pattern of bright fringes viewed on a screen 1.40 m beyond the slits.What is the distance between the two slits?

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In a series LRC circuit,the frequency at which the circuit is at resonance is f0.If you double the resistance,the inductance,the capacitance,and the voltage amplitude of the ac source,what is the new resonance frequency?

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