Practice Questions

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A block of clear glass with opposite faces parallel is placed successively in various transparent, colorless liquids referred to as liquids 1, 2, and 3. The refractive indices are: air = 1.00, glass = 1.50, liquid 1 = 1.30, liquid 2 = 1.50, liquid 3 = 1.70.

The figure below shows five situations involving the glass and liquids.

α > β > γ > δ > ε > θ

For each of the situations given below, select the diagram that best represents the path of a ray passing through the glass under the conditions described.


1			The block is submerged in liquid 1 Need a Hint?




2			The block is submerged in liquid 2 Need a Hint?




3			The block is submerged in liquid 3 Need a Hint?




4			The block half submerged in liquid 1 (the top half is in air) Need a Hint?




5			The block half submerged in liquid 3 (the top half is in air) Need a Hint?

The following figure shows a ball bearing embedded in a block of ice. The ray incident on the block undergoes total internal reflection at the second ice-air boundary.

n_i = 1.31 = index of refraction of ice

θ_ri = angle of refraction in ice

θ_ia = angle of incidence in air

θ_c = critical angle for ice relative to air

θ_ii = θ_c + 2.20° = angle of incidence in ice

Determine the following:


6			θ_c Need a Hint?




7			θ_ri Need a Hint?




8			θ_ia Need a Hint?




9			Apparent depth of the ball bearing when viewed from the top Need a Hint?




10			Speed of light in the ice Need a Hint?

The figure below shows objects in front of concave and convex mirrors.


\|f\| = 20.0 cm for both mirrors	h₁ = h₂ = h₃ = h₄ = 20.0 cm
p₁ = 100 cm	p₂ = 30.0 cm	p₃ = 10.0 cm	p₄ = 40.0 cm

Determine the following:


11			Location of the image of object 1 Need a Hint?




12			Location of the image of object 2 Need a Hint?




13			Location of the image of object 3 Need a Hint?




14			Location of the image of object 4 Need a Hint?




15			Magnification of object 1 Need a Hint?




16			Magnification of object 3 Need a Hint?




17			Size and orientation of the image of object 2 Need a Hint?




18			Size and orientation of the image of object 4 Need a Hint?




19			Whether the image of object 3 is real or virtual Need a Hint?




20			Whether the image of object 4 is real or virtual Need a Hint?

The figure below shows objects in front of converging and diverging lenses.


\|f\| = 20.0 cm	h₁ = h₂ = h₃ = h₄ = h₅ = 2.00 cm		p₁ = 60.0 cm
p₂ = 30.0 cm	p₃ = 10.0 cm	p₄ = 50.0 cm	p₅ = 20.0 cm

Determine the following:


21			Image distance for object 1 Need a Hint?




22			Image distance for object 4 Need a Hint?




23			Magnification of the image of object 2 Need a Hint?




24			Magnification of the image of object 5 Need a Hint?




25			Size and orientation of the image of object 3 Need a Hint?




26			Size and orientation of the image of object 5 Need a Hint?




27			Objects with virtual images Need a Hint?

Unpolarized light traveling in air is incident upon a liquid with a refractive index of 1.60 at Brewster's angle. It is established that 10.0% of the incident beam is reflected and 90.0% is refracted. Determine the following:


28			Polarizing angle for this liquid Need a Hint?




29			Angle of reflection for the reflected beam Need a Hint?




30			Angle between the reflected and refracted beam Need a Hint?




31			Angle of refraction for the refracted beam Need a Hint?

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