Occurrence on a diffraction grating the first order maximum, Physics

Assignment Help:

When white light is normally occurrence on a diffraction grating the first order maximum for which colour of light occurs at the greatest angle with respect to the straight ahead direction?

Answer:

The length of the path that light should travel to get to a point on the screen from one slit in the diffraction grating must differ by one wavelength from the distance that light must travel to the same point from an adjacent slit in order to get maximal constructive interference. The greater the wavelength tends to the bigger the path difference needed. Additional from plane geometry the bigger the angle the bigger the path difference. Therefore we get first order interference at the biggest angle for the light with the longest wavelength. Red light has the longest observable light wavelength. Therefore red light yields the biggest angle for the first interference maximum.

We are able to as well get at this mathematically using the equation for the angles relative to the straight ahead direction of the interference maxima. The equation reads like

ml = d sinq

For first order interfering m=1 and the equation become

l = d sinq

Note that for a given diffraction harsh with a given slit separation d the greater the wavelength the greater the sinθ. Now intrusion maxima occur at angles between 0 and 90 degrees to either side of the straight-ahead direction. In that variety of angles the bigger the sinθ the bigger the angle θ itself. With red being the observable light having the longest wavelength

λ

,as well as with the longest wavelength interference maximum occurring at the biggest sinθ which in turn corresponds to the biggest θ we have a red light interference maximum occurring at the biggest angle of interference relative to the straight-ahead direction.


Related Discussions:- Occurrence on a diffraction grating the first order maximum

Acceleration, An object starts from point A and moves with constant acceler...

An object starts from point A and moves with constant acceleration in a straight line. 5 seconds after the start, it crosses point B, and 7 seconds after the start it crosses poin

Wave, application of huygen''principle

application of huygen''principle

Motion in one dimension, a ball is dropped from a bridge 122.5m high. afte...

a ball is dropped from a bridge 122.5m high. after the ball has been falling for2 sec another is thrown straight downwards after it. the initial velocity of the ball is such that

Determine the weight of a body, Determine the weight of a body. Princip...

Determine the weight of a body. Principle: When a spring is fixed at one end and a force is applied to the other end the stretching of the spring is proportional to the applie

heat transfer, Heat may be transmitted from one body to the other by any o...

Heat may be transmitted from one body to the other by any of three possible ways: conduction, radiation and convection.  In the conduction, convection phenomena, a medium is essent

YDSE, Consider Young’s double slit experiment with a finite ...

Consider Young’s double slit experiment with a finite sized ( height 2b) source whose center point is symmetrically oriented about the mid

Describe how optical fibers used as hydrophones, Describe how optical fiber...

Describe how optical fibers used as hydrophones. Optical fibers are employed as hydrophones for sonar and seismic applications. Each hydrophone systems along with more than one

Explain weightlessness, Explain Weightlessness When can you feel weight...

Explain Weightlessness When can you feel weightless? There are two basic ways. You can be far enough away from all large objects in the universe that the force of gravity due t

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd