Ray Nature Of Light Practice Problems

A television set consumes 75 W•h (equal to 2.70 × 10⁵ J) in one hour. As a young scientist, you decide to store the energy consumed by the television for one hour using a uniform magnetic field. If the magnetic field is stored in an evacuated cylindrical space of radius 20 cm and height 30 cm, determine the magnitude of the required magnetic field.

A student discovers that light takes specific time duration t to travel 5.0 m in the air. Calculate the distance that light would need to cover in i) diamond and ii) benzene liquid within the same time duration, t. Note that the refractive indices for both mediums are: η_diamond = 2.42 and η_benzene = 1.49. 

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 child drills a hole in one side of a cardboard box and mounts a screen behind the hole. The distance between the hole and the screen is 20 cm. Calculate the distance between the hole and a 2.4 m tall shrub in front of the hole when the image is 6.0 cm tall.

Bulletproof glass has layers of materials such as glass laminate, polycarbonate, and acrylic that have a nearly equal refractive index to keep the glass transparent. Bulletproof glass has a 31.75 mm thick polycarbonate layer (η = 1.581). Calculate the time taken by a light that is incident normally to the surface of the polycarbonate layer to go through the 31.75 mm thick layer.

A charging adapter is powered using energy stored in a large solenoid (inductor).  Determine the electrical energy delivered to a mobile device in 10 hrs using a charging adapter rated 25 W.

A solenoid is used to store 1.25 × 10⁶ joules of energy in its uniform magnetic field. If the solenoid is supplied with 50.0 A of electrical current, determine its inductance.

In a spectroscopic experiment, a beam expander is used to illuminate a semiconductor material. The Figure below illustrates the beam expander used, where parallel rays of a laser beam with a width of 25.0 mm enter from the right. What is the width w_b of the laser beam as it exits the beam expander?

Considering the constraints on resolution in digital cameras due to lens diffraction and the division of discrete pixels on the sensor, let's explore a typical point-and-shoot camera. This camera is fitted with a lens having a focal length of 15 mm and a sensor consisting of pixels measuring 3 μm x 3 μm. What is the f-number of the lens that aligns with a diameter of 1.3 cm?

Determine the focal length required for the objective lens of a microscope to attain an approximate total magnification of 800x, when used alongside an eyepiece with a focal length of 4.5 cm, assuming a tube length of 200 mm.

A microscope with a tube length of 150 mm comprises a 30x objective lens and a 20x eyepiece. Determine the approximate distance between the objective lens and the sample when the microscope is adjusted for relaxed viewing.