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Question 1. A person looking in to an empty container is able to see the far edge of the container’s bottom as shown. The height of the container is h, & its width is d. When the container is fully filled with a fluid of index of reflection n, the person can see a coin at the middle of the container’s bottom. Show that h/d is given by,
Question 2. A light beam is incident on a piece of fused quartz (n = 1.458) at the Brewster’s angle. Determine the value of the Brewster’s angle & the angle of refraction for the transmitted ray.
Water runs out of the horizontal drainpipe at the rate of 120 liters per minute. It falls 3.20 m to the ground. Assume the water doesn't splash up, what average force does it exert on the ground? (1 liter = 1 kg.)
A screen is placed 1.30 {rm m} behind a single slit. The central maximum in the resulting diffraction pattern on the screen is 1.70 {rm cm} wide-that is, two first-order diffraction minima are separated by 1.70 {rm cm}.
An airplane is flying with the velocity of 85.0 m/s at an angle of 20.0 degrees above the horizontal. When the plane is a distance 107 m directly above the dog that is standing on level ground, a suitcase drops out of the luggage compartment. How far..
Find the smallest particle size (density 2.65 grams per cubic cm) that will be removed in a horizontal grit chamber 10 meters long and 1.0 meter deep if the flow rate is 1000 cubic meters per hour. Suppose temperature is 25 ºC.
Suppose that a structure of arbitrary complexity has a number of forces applied to it (at various points) and yet is in static equilibrium. The principle of virtual work allows one to write an equation that relates the applied forces.
Estimate the acceleration of cyclist, and roller coaster.
On another planet the simple pendulum consisting of a 0.154 kg mass suspended on a 1.20 m long string has a period of 3.860 seconds. What is acceleration on this planet.
A cockroach of mass m lies on the rim of a uniform disk of mass 7.00 m that can rotate freely about its center like the merry-go-round. At first the cockroach and disk rotate together with an angular velocity of 0.220 rad/s. Then the cockroach walks ..
An Oscilloscope grid is calibrated so that one square represents 1-V vertically and 1 msec horizontally. If the height of a square wave pulse display is 6 squares, the width of the pulse is 7 squares, and the cycle of the wave is 16 squares, the a..
A small metal bead, labelled A, has a charge of 29 nC. It is touched to metal bead B, initially neutral, so that the two beads share the 29 nC charge, but not of necessity evenly. When the two beads are then placed 5.0 {rm cm} apart, the force betwee..
A 0.27 kg rock is thrown perpendicularly upward from the top of the cliff that is 32 m high. When it hits the ground at the base of cliff, the rock has a speed of 29 m/s. suppose that air resistance can be ignored, find out A) initial speed of the ro..
If the surface of the water is calm and the pool is h = 1.52 m deep, find out the minimum diameter of the raft that would prevent the diamond from being seen.
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