Light from a monochromatic bulb illuminates a hole located 2.50 m from the light source. Calculate the width of the hole if light passing through the hole forms a bright patch of diameter 0.80 mm on a wall 1.50 m behind the hole.

A light source hangs from one corner of a room. Calculate the value of (theta) if the light is directed to a wall before reflecting at the midpoint of the floor.

An observatory in California, equipped with a mirror that has a diameter of 3.4 m is used to observe a distant galaxy in the Leo constellation which is about 44,000 light-years away from Earth. During this observation, green light with a wavelength of 550 nm is used. What is the distance of this galaxy as a multiple of Venus's distance from the Sun? Consider the distance from the sun to Venus is 108.2 million km.

A tourist drops a coin vertically into a wishing well of height 80.0 cm that is totally filled with a liquid of refractive index n. The coin lands 26.0 cm from the well's border. However, when the tourist looks in from the same border, the coin appears 38.0 cm from the well's border. Determine n.

An underwater archaeologist explores a shipwreck at night and observes the moon 45° above the horizontal line of sight. What is the moon's height above the horizon for a person standing on a surfboard directly above the archaeologist?

A monochromatic beam of light of frequency f is split into two beams. The first beam has a wavelength of 450 nm in a quartz medium with a refractive index of 1.50. The second beam enters an ethanol medium. The refractive index of ethanol is 1.36. Determine the wavelength of this light in ethanol.

An infrared semiconductor laser that is used in a data transmission will emit a light source into a silicon-based optical fiber. The core of the fiber is made up of silicon which has a refractive index of 3.42. The coating material of the fiber is silicon dioxide which has a refractive index of 1.44. Determine what the maximum angle will be at which the light will strike the silicon dioxide interface and will still have the opportunity of becoming totally internally reflected.

A few young boys are practicing diving in a swimming pool. While doing so, one of the boys loses a silver coin in his pocket which falls into the pool. The coin reaches the bottom of the pool at a depth of 5.0 m. Treating the coin as a point, determine the circumference of the largest circle at the water surface through which the light ray reflected from the coin will pass out of water.

A child holds a pen 4.0 cm in front of a concave shaving mirror that has a focal length of 6.0 cm. Use a suitable ray diagram to determine the position of the image. State whether the image is inverted or upright.