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A container with glass walls has oil inside. The total length, of the containers is 14 cm. The walls of the container have a thickness () of 25 mm and a refractive index of 1.58. The container is surrounded by air (n = 1), and the oil inside the container has a refractive index of 1.42. The angle of incidence, is 30º. Calculate the lateral shift, x, for this container. (5 marks)
Knowing that the minimum angle of deviation for the same prism is 30º, calculate the refractive index of the prism and the new angle of incidence at the first surface.
(3 marks)
Q2. A prism made of glass is surrounded by air.
a) Calculate the apical angle if the maximum angle of deviation for this prism is 65º, and it occurs when the angle of incidence at the first surface is 35º. (2 marks)
A police car of mass 2.4x103kg is travelling on the highway when the officers receive an emergency call. They increase the speed of the car to 33 m/s. The increase in speed results in 3.1 x 10 5 J of work done on the car. Determine the initial speed of the police car in kilometers per hour?
A 150-g piece of iron at 3000C is submerged in 250 g of water at 100C to be cooled quickly.
Determine the final temperature of the iron and the water. [ 5 marks]
[ Cw = 4.18x103 J/kg0C and Ciron= 4.5 x 102J/kg0C]
A portable heater is plugged into a 120-V outlet and draws a current of 8.0 A for 10.0 min. Calculate each of the following:
a) the quantity of electric charge that flows through the heater
b) the energy consumed by the heater
c) the power dissipated by the heater
A golf ball is launched from the roof of a school with a velocity of 20 m/s at an angle of 300 above the horizontal. If the roof is 40 m above the ground, calculate:
a) the ball’s time of flight
b) the ball’s horizontal displacement
The first resonant length of a closed air column occurs when the length is 16 cm.
a) What is the wavelength of the sound?
b) If the frequency of the source is 512 Hz, what is the speed of sound?
Two people are fishing from small boats located 28 m apart.Waves pass through the water, and each person’s boat bobs up and down 15 times in 1.0 min. At a time when one boat is on a crest, the other one is in a trough, and there is one crest between the two boats. What is the speed of the waves?
The distance between successive crests in a series of water waves is 4.0 m,and the crests travel 9.0 m in 4.5 s.What is the frequency of the waves?
