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Light of wavelength 612 nm in a vacuum travels 1.57 pm in a medium of index of refraction 1.51. Find
(a) the wavelength in the medium
(b) the optical path length
(c) the phase difference after moving that distance, with respect to light travelling the same distance in a vacuum.
Consider a system in equilibrium with a heat bath at temperature T and a particle reservoir at chemical potential ?. Determine the (grand) partition function of the system
The drawing shows two perpendicular, long, straight wires, both of which lie in the plane of the paper. Find the magnitudes of the net magnetic fields at points A and B
Jeffrey is driving his Toyota Prius the freeway and reaches his exit. The exit has a radius of curvature of 25m and is banked 38°. How fast can Jeffrey travel around the curve on a dry day
A man of mass 76.5 kg walks down the aisle of an airplane at a speed of 1.10 m/s in the forward direction while the plane moves at a speed of 280 m/s relative to the earth
Use the absolute derivative DA?/Du=dA?/du??(from ?? to ?)A? dx^?/du to prove that the inner (scalar) product of two vectors is preserved under parallel transport on a path if the connection defined on the manifold is a metric connection.
a man with mass m1 61 kg stands at the left end of a uniform boat with mass m2 168 kg and a length l 2.6 m. let the
A 33 rpm phonograph record reaches its rated speed 1.8 s after it is turned on. What was the angular acceleration
An elevator cable breaks when a 975 kg elevator is 24.5 m above the top of a huge spring (k = 8.00 x 10^4 N/m) at the bottom of the shaft. Calculate the amount the spring compresses
A circular pond of radius 12 m has a layer of ice 0.25 m thick. On a spring day, the temperature of the water below the ice is 4.0°C, What is the rate of heat transfer through the ice
A 0.350 kg air-track glider is attached to each end of the track by two coil springs. Find the x-coordinate of the glider at time t= 0.530T, where T is the period of the oscillation
A spherical balloon has the potential to reach a diameter of 35 cm, what would be the volume of this balloon when it reaches a pressure of 0.75P0 and a temperature of -15°C
A standardized biological microscope has an 8.0--focal-length objective. What focal-length eyepiece should be used to achieve a total magnification of.
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