91Ó°ÊÓ

A flashlight beam strikes the surface of a pane of glass \((n=1.56)\) at a \(63^{\circ}\) angle to the normal. What is the angle of refraction?

(I) A flashlight beam strikes the surface of a pane of glass \((n=1.56)\) at a \(63^{\circ}\) angle to the normal. What is the angle of refraction?

(I) Rays of the Sun are seen to make a \(33.0^{\circ}\) angle to the vertical beneath the water. At what angle above the horizon is the Sun?

Rays of the Sun are seen to make a \(33.0^{\circ}\) angle to the vertical beneath the water. At what angle above the horizon is the Sun?

(I) Rays of the Sun are seen to make a \(33.0^{\circ}\) angle to the vertical beneath the water. At what angle above the horizon is the Sun?

A light beam coming from an underwater spotlight exits the water at an angle of \(56.0^{\circ} .\) At what angle of incidence did it hit the air-water interface from below the surface?

(II) A beam of light in air strikes a slab of glass \((n=1.56)\) and is partially reflected and partially refracted. Determine the angle of incidence if the angle of reflection is twice the angle of refraction.

A beam of light in air strikes a slab of glass \((n=1.56)\) and is partially reflected and partially refracted. Determine the angle of incidence if the angle of reflection is twice the angle of refraction.

In searching the bottom of a pool at night, a watchman shines a narrow beam of light from his flashlight, \(1.3 \mathrm{~m}\) above the water level, onto the surface of the water at a point \(2.5 \mathrm{~m}\) from his foot at the edge of the pool (Fig. \(32-50)\). Where does the spot of light hit the bottom of the pool, measured from the bottom of the wall beneath his foot, if the pool is \(2.1 \mathrm{~m}\) deep?

(II) A laser beam of diameter \(d_{1}=3.0 \mathrm{mm}\) in air has an incident angle \(\theta_{1}=25^{\circ}\) at a flat air-glass surface. If the index of refraction of the glass is \(n=1.5,\) determine the diameter \(d_{2}\) of the beam after it enters the glass.