A speck of dirt is embedded 3.50 cm below the surface of a sheet of ice (n = 1.309). What is its apparent depth when viewed at normal incidence?
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A speck of dirt is embedded 3.50 cm below the surface of a sheet of ice (n = 1.309). What is its apparent depth when viewed at normal incidence?
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- When a light ray passes from a layer with index n1 = 1.5 to an adjacent layer with index n2, the ray deviates 10° from its initial direction as shown below. If the angle of incidence is e1 = 30°, then determine the value of the index n2. n2 n2 = 1.05 n2 = 1.26 n2 = 1.17 n2 = 1.48 n2 = 1.37Spherical refracting surfaces. An object O stands on the central axis of a spherical refracting surface. For this situation (see the table below, all distances are in centimeters), n₁ is the index of refraction where the object is located, no is the index of refraction on the other side of the refracting surface. Find (a) the image distance i, and determine whether the image is (b) real or virtual and (c) on the same side of the surface as object O or on the opposite side. (a) Number (b) (c) P (a) (b) (c) n₁ n₂ pri RV Side 1.7 1.3 +75 +47 Units KOlivia is inspecting the concave primary mirror of the Hubble telescope before its launched into space. She stands 73.4 m, in front of the mirror which has a focal length of 39.9 m What is the image distance, v, of Olivia's image? Let's use the mirror formula with proper sign convention. (Do not enter units, round your answer to two decimal places)
- A goldfish is swimming inside a spherical bowl of water having an index of refraction n = 1.333. Suppose the goldfish is p 10.4 cm from the wall of a bowl of radius |R| = 15.8 cm, as in the figure below. Neglecting the refraction of light caused by the wall of the bowl, determine the apparent distance of the goldfish from the wall according to an observer outside the bowl. 1.07 Your response differs from the correct answer by more than 10%. Double check your calculations. cm behind the glassLight strikes a diamond (n = 2.42) immersed in glycerin (n = 1.473) at an angle of 45° relative to the normal to the surface. What is the angle of refraction? 25° 52° 39° 34° 17°In an experiment, a student shines laser light on a semicircular acrylic block at an angle of 71 to the surface of the block. What is the angle of incidence?
- An underwater scuba diver sees the Sun at an apparent angle of 31.0° from the vertical. What is actual direction of the Sun? ° (above the horizon)You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle 0 in radians is related to the linear height of the object h and to the distance d by 0= h/d. Assume that you are driving a car and that another car, 1.50 m high, is 22.0 m behind you. KTO & $3 m (d) What angle does the image subtend at your eyes? rad (e) Based on its angular size, how far away does the following car appear to be? m 0 1900 Per Works Inc OBJECTS IN MIRROR ARE CLOSER THAN THEY APPEAR vestest by Creators Syndicate The Far Side by Gary Larson 1985 FarWorks, Inc. All Rights Reserved. Used with permission. (a) Suppose your car has a flat passenger-side rearview mirror, 1.55 m from your eyes. How far from your eyes is the image of the car following you? m (b) What angle does the image subtend in your field of view? rad (c) Suppose instead your car has a convex rearview mirror (see figures) with a radius of curvature of magnitude 1.70 m. How far from your eyes is…Spherical refracting surfaces. An object O stands on the central axis of a spherical refracting surface. For this situation (see the table below, all distances are in centimeters), nį is the index of refraction where the object is located, n2 is the index of refraction on the other side of the refracting surface. Find (a) the image distance i, and determine whether the image is (b) real or virtual and (c) on the same side of the surface as object O or on the opposite side. (a) (b) (c) n1 n2 p ri R/V Side 1.5 1.3 +70 +56 (a) Number i Units (b) (c) > >
- White light strikes the left face of a 300-60°-90° glass prism along a normal to the surface (so there is no refraction there). The light moves horizontally through the prism and strikes the right face at an angle of 30.00° to the normal. As the light leaves the prism it is refracted at the right face. DO ALL CALCULATIONS TO 4 SIGNIFICANT FIGURES! What is the DIFFERENCE in the refracted angles for red light (ned = 1.567) and violet (niolet = 1.613)? Find (8, - e,), where e, and e, are the angles of refraction for violet and red light. 313 PMA very large piece of clear ice has a cave man frozen inside it. When viewed at an anglefrom the top of the ice the cave man appears to be 1.00 ft below the surface of the ice.What is the actual depth (in units of inches) of the cave man from the top of the ice?The index of refraction of the ice is 1.309 Do NOT use i for the angle of incidence or r for the refracted angleThe figure below shows the path of a light beam through several slabs with different indices of refraction. (n4 = 1.01) 10% = n = 1.60 n = 1.40 n = 1.20 14 (a) If 01 35.0°, what is the angle 02 of the emerging beam? 63.12 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.º