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1. The speed and the wavelength of a water wave in deep water are 18.0 cm/s and 2.0 cm, respectively. The speed in shallow water

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1. The speed and the wavelength of a water wave in deep water are 18.0 cm/s and 2.0 cm, respectively. The speed in shallow water is 10.0 cm/s. Find the corresponding wavelength. 2. You are measuring the wavelength of light from a certain single-colour source. You direct the light through two slits with a separation of 0.15 mm, and an interference pattern is created on a screen 3.0 m away. You find the distance between the first and the eighth consecutive dark lines to be 14.0 cm. At what wavelength is your source radiating? Communication 1. An FM radio station broadcasts at a frequency of 2.3 x 10# Hz. Determine the wavelength of the FM radio waves from this station 2. Red light with a wavelength of 6.50 x 10 nm travels from air into crown glass(n=1.52) a) What is its speed in glass? b) What is its wavelength in the glass? 1Thinking ( All questions are of 4 marks] 1. Monochromatic light from a single slit illuminate two, narrow parallel slits. The centres of the two slits are 0.800 mm apart. An interference pattern forms on a screen 50.0 cm away. The fringe separation on the screen is 0.304 mm. Find the wavelength * of the light. Central bright fringe A B C D E 2. A diffraction grating with slits 1x 1075 m apart is illuminated by monochromatic light with a wavelength of 6.0x 10- nm. Calculate the angle of the third order maximum. 3. Calculate the highest spectral order visible when a 6200-line/cm grating is illuminated with 633-nm laser light. 2Application (All questions are of 4 marks) 1. A young's double slit interferometer is illuminated with green light of wavelength 546 nm. The double slits are 0.100 mm apart and the screen is 20.0 cm away form the slits. Find... a) The angular position of the first minimum on the screen. b) The angular position of the fifth maximum on the screen. The distance, on the screen, between the first maximum and the fifth maximum. 2. Microwaves with a wavelength of 1.5 cm are used to transmit television signals coast to coast, through a network of relay towers. (a) What is the frequency of these microwaves? (b) How long does it take a microwave signal to cross the continent from St. John's, Newfoundland, to Victoria, British Columbia, a distance of approximately 6000 km? 3

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