High-power lasers are used to cut and weld materials by focusing the laser beam to a very small spot. This is like using a magnifying lens to focus the sun light to a small spot that can burn things. As an engineer you have designed a laser cutting device in which the material to be cut is placed behind the lens. you have selected a high-power laser with a wavelength of
your calculation indicates that the laser must be focused to a spot in order to have sufficient power to make the cut. what is the minimum diameter of lens you must install?
The minimum diameter of the lens is.
We have given that:
High power laser wavelength
Laser cutting device
sufficient power to cut laser
we need to find the diameter of lens to install.
Let us use this formula,
Here, is the focal length, is wavelength and is the value for laser must be focused.
Now multiplying both sides by D,
Dividing both the sides by ,
Let us substitute values in the equation,
Here, is the diameter of the lens.
A beam of white light enters a transparent material. Wavelengths for which the index of refraction is n are refracted at angle u2. Wavelengths for which the index of refraction is n + dn, where dn V n, are refracted at angle u2 + du.
a. Show that the angular separation of the two wavelengths, in radians, is du = -1dn/n2 tan u2.
b. A beam of white light is incident on a piece of glass at 30.0°. Deep violet light is refracted 0.28° more than deep red light. The index of refraction for deep red light is known to be 1.552. What is the index of refraction for deep violet light?
The Hubble Space Telescope has a mirror diameter of 2.4 m. Suppose the telescope is used to photograph stars near the center of our galaxy, 30,000 light years away, using red light with a wavelength of 650 nm.
a. What’s the distance (in km) between two stars that are marginally resolved? The resolution of a reflecting telescope is calculated exactly the same as for a refracting telescope.
b. For comparison, what is this distance as a multiple of the distance of Jupiter from the sun?
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