A hollow glass cell is made of thin glass in the form of an equiconcave lens. The radii of the two surfaces are 1.650 cm, and the distance between the two vertices is 1.850 cm. When sealed airtight, this cell is submerged in water of index 1.3330. Calculate (a) the focal lengths of each surface and (b) the power of each surface.

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Could you please help me to solve Second first question 

TH
Due: 10th Aug. 2022
01) A ray of light is incident on a piece of glass at an angle of 45.0°. If the angle of refraction is
25.37°, find (a) the refractive index and (b) the critical angle (c) Solve graphically
E
PHY2012 OPTICS
Tutorial 1 (Geometrical Optics)
Department of Physics, University of Sri Jayewardenepura
02) A hollow glass cell is made of thin glass in the form of an equiconcave lens. The radii of the two
surfaces are 1.650 cm, and the distance between the two vertices is 1.850 cm. When sealed
airtight, this cell is submerged in water of index 1.3330. Calculate (a) the focal lengths of each
surface and (b) the power of each surface.
03) Three lenses with focal lengths of +8.40, -4.60, and +6.20 cm, respectively, are located one
behind each other in this order and 2.0 cm apart. (a) If parallel light is incident on the first lens,
how far behind the third lens will the light be brought to a focus? (b) Draw a scale diagram.
04) A glass lens with radii r₁= + 3.0 cm and r₂ = + 3.0 cm has an index of 1.60, and a thickness of 3.0
cm. It is placed in the end of a tank so that air is in contact with face r₁ and a transparent oil of
index 1.30 is in contact with face r2, Find (a) the primary and secondary focal lengths and (b) the
power of the system as a lens. Calculate the positions of (c) focal points, (d) principal points, and
(e) nodal points.
=
05) A lens 4.50 cm thick has an index of 1.720 and radii r = -6.0 cm and r₂ = -12.0 cm. If the second
surface is silvered, find (a) the power, (b) the focal length, (c) the position of the principal point,
and (d) the position of the focal point.
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06) A single spherical surface is ground and polished on the end of a large cylindrical glass rod of
index 1.82500. The radius of curvature r= + 8.0 cm. The rod is immersed in a thin oil of index
1.35600. Find the axial distances (s'), for parallel incident rays at a height of (a) 6.0 cm, (b) 4.0
cm, (c) 2.0 cm, and (d) 0 cm. Solve graphically and by calculation.
O
Transcribed Image Text:TH Due: 10th Aug. 2022 01) A ray of light is incident on a piece of glass at an angle of 45.0°. If the angle of refraction is 25.37°, find (a) the refractive index and (b) the critical angle (c) Solve graphically E PHY2012 OPTICS Tutorial 1 (Geometrical Optics) Department of Physics, University of Sri Jayewardenepura 02) A hollow glass cell is made of thin glass in the form of an equiconcave lens. The radii of the two surfaces are 1.650 cm, and the distance between the two vertices is 1.850 cm. When sealed airtight, this cell is submerged in water of index 1.3330. Calculate (a) the focal lengths of each surface and (b) the power of each surface. 03) Three lenses with focal lengths of +8.40, -4.60, and +6.20 cm, respectively, are located one behind each other in this order and 2.0 cm apart. (a) If parallel light is incident on the first lens, how far behind the third lens will the light be brought to a focus? (b) Draw a scale diagram. 04) A glass lens with radii r₁= + 3.0 cm and r₂ = + 3.0 cm has an index of 1.60, and a thickness of 3.0 cm. It is placed in the end of a tank so that air is in contact with face r₁ and a transparent oil of index 1.30 is in contact with face r2, Find (a) the primary and secondary focal lengths and (b) the power of the system as a lens. Calculate the positions of (c) focal points, (d) principal points, and (e) nodal points. = 05) A lens 4.50 cm thick has an index of 1.720 and radii r = -6.0 cm and r₂ = -12.0 cm. If the second surface is silvered, find (a) the power, (b) the focal length, (c) the position of the principal point, and (d) the position of the focal point. ||| 06) A single spherical surface is ground and polished on the end of a large cylindrical glass rod of index 1.82500. The radius of curvature r= + 8.0 cm. The rod is immersed in a thin oil of index 1.35600. Find the axial distances (s'), for parallel incident rays at a height of (a) 6.0 cm, (b) 4.0 cm, (c) 2.0 cm, and (d) 0 cm. Solve graphically and by calculation. O
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