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Problem 1 (6 marks): Underwater point source of light, placed at the bottom of a swimming pool, is viewed from above water at the horizontal distance of d- 1 m, where light is seern at the angle # 30° as shown in the figure. Answer the following two questions; 1. How deep (in meters) is the swimming pool in reality? a) 1.2 b) 1.73 c) 2.2 d) 2.4 e)3.1 )3.9 2. What is the apparent depth (in m) of the swimming pool as seen from outside? a) 1.2 b) 1.73 2.2 d) 2.4 e)3.1 3.9 Problem I 9 marks)]: A candle is placed a distance s 1.5 m along the axis of a convex mirror of curvature R- 1 m as shown in the figure. Answer the following three questions 1. Find the position of the formed image from the mirror in meters a) 0.12 b) 0.375 c) 0.42 d) 1.2 e) 1.5 2. Find the magnification of the formed image. b) 0.25 a) 0.16 c) 0.62 d) 1.25 e) 1.62 3. Find the nature of the formed image. a) Real, Upright, Smaller b) Virtual, inverted, Smaller c)Real, Upright, larger d) Virtual, Upright, Smaller Problem IL16 marks): Consider the bi-concave thin lens shown in the figure, where R1- 1 m and R2 1.3 m 1. Find the focal length in m. Answer the following two problems; d)-3.22 e)8.67 f-8.67 a) 1.13 Find the nature of the formed image. a) Real, Upright, Smaller b) Virtual, inverted, Smaller cl Real, Upright, larger d) Virtual, Upright, Smaller b)-1.13 c)3.22 2. ART TWO: Physical Optics Consider a sinusoidal wave with the frequency f- 1kHz and the phase velocity of 500 m/s travelling in a rion-dispersive medium. Answer the following two questions; 1. Find the wavelength in cm. a) 5.00 b) 10.0 c) 30.0 50.0 e) 500 2. Find the group velocity m/s a) 5.00 b) 10.0 c) 30.0 d) 50.0 e) 500
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