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

Energy 2 worksheet , Two pole vaulted clear the bar at the same height. The...

Two pole vaulted clear the bar at the same height. The first lands at a speed of 8.90 m/s and the second lands At a speed of 9m/s the first vaulted clears the bar at a speed of 1

Measurement of length, Measurement of length: If the Zeroth division o...

Measurement of length: If the Zeroth division of the head scale does not coincide with the index line the Screw gauge has Zero error. If the Zeroth division of the head Sca

What is the size of the coefficient of static friction, A 9.0-kg crate sits...

A 9.0-kg crate sits on a level, rough floor. A 61-N force is required just to begin it moving. What is the size of the coefficient of maximum static friction?

Detection (receiver), Detection (Receiver): The antenna receiver these mod...

Detection (Receiver): The antenna receiver these modulated waves from different transmitting stations. Channel selector selects the desired signals. The selected signals are am

What kind of batteries are used in tl coachees, What kind of batteries are ...

What kind of batteries are used in TL coachees. Briefly explain about each one of them? Ans. In TL coaches two kind of batteries are used. They are SMF and VRLA batteries.

Pendulum question, A pendulum is timed, first for 20 swings and then for 50...

A pendulum is timed, first for 20 swings and then for 50 swings Time for 20 swings= 17.4s Time for 50 swings= 43.2s Calculate the average time per swing in each case.

.inkjet printer, tell me in detail about inkjet printer???

tell me in detail about inkjet printer???

Determine the gauss law of magnetism, Gauss' law of magnetism, Gauss' law o...

Gauss' law of magnetism, Gauss' law of electricity,Faraday's law of induction, and Amperes' law form the basic equations of electromagnetism.  This combination is collectively

Fleming''s left-hand rule, Stretch the fore-finger, central finger and thum...

Stretch the fore-finger, central finger and thumb left hand mutually perpendicular. Then if the fore-finger shows in the direction of field   and the central in the direction of cu

Capacitor, explain spherical capacitor?

explain spherical capacitor?

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