WAVES (HL)
THE CRITICAL ANGLE
When light goes from a less dense medium to a denser medium, light bends towards the normal.
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If incident angle critical angle, then the angle of refraction is exactly 90 degrees.
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If angle is greater than the critical angle, then light will reflect, not refract.
![he.PNG](https://static.wixstatic.com/media/71b23a_9cbe236d7fd94114a4b32a550f66bd57~mv2.png/v1/fill/w_231,h_55,al_c,q_85,enc_avif,quality_auto/he_PNG.png)
![he1.PNG](https://static.wixstatic.com/media/71b23a_fd2f7ad194844707872fd16286d90b9a~mv2.png/v1/fill/w_600,h_242,al_c,q_85,usm_0.66_1.00_0.01,enc_avif,quality_auto/he1_PNG.png)
![he2.PNG](https://static.wixstatic.com/media/71b23a_c0ab158323384be492cc45c7c73a1fa6~mv2.png/v1/fill/w_220,h_142,al_c,q_85,enc_avif,quality_auto/he2_PNG.png)
DIFFRACTION PATTERNS
![ooo.PNG](https://static.wixstatic.com/media/71b23a_b73c11b039e64b18ad4ca74861216805~mv2.png/v1/fill/w_390,h_74,al_c,q_85,enc_avif,quality_auto/ooo_PNG.png)
![interference.PNG](https://static.wixstatic.com/media/71b23a_642134164a4d4c94ad71975aa1551a32~mv2.png/v1/crop/x_0,y_8,w_719,h_348/fill/w_600,h_290,al_c,q_85,usm_0.66_1.00_0.01,enc_avif,quality_auto/interference_PNG.png)
DOUBLE SLIT DIFFRACTION
![ok.PNG](https://static.wixstatic.com/media/71b23a_4774b772b8e14307a30255f8ee6cc1b4~mv2.png/v1/fill/w_272,h_306,al_c,q_85,enc_avif,quality_auto/ok_PNG.png)
![Double-slit-diffraction-diagram.png](https://static.wixstatic.com/media/71b23a_b5bcb90d0276432d9ac285b728c37554~mv2.png/v1/fill/w_292,h_268,al_c,q_85,usm_0.66_1.00_0.01,enc_avif,quality_auto/Double-slit-diffraction-diagram.png)
![Capture.PNG](https://static.wixstatic.com/media/71b23a_b607c5ad615c47b988cddac47cec0eb8~mv2.png/v1/crop/x_0,y_0,w_247,h_202/fill/w_247,h_202,al_c,q_85,enc_avif,quality_auto/Capture_PNG.png)
![Capture.PNG](https://static.wixstatic.com/media/71b23a_b607c5ad615c47b988cddac47cec0eb8~mv2.png/v1/crop/x_0,y_191,w_247,h_237/fill/w_247,h_237,al_c,q_85,enc_avif,quality_auto/Capture_PNG.png)
![dslit.gif](https://static.wixstatic.com/media/71b23a_8086b9dd6c5e4aa3a74b46875904fad4~mv2.gif/v1/fill/w_393,h_339,al_c,pstr/dslit_gif.gif)
If both slits are of non-negligible width
SINGLE SLIT DIFFRACTION
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Bright fringe in centre surrounded by dark fringe and then bright fringe
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Intensity will decrease the further away you go from the central maxima
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Pattern occurs due to the wavelets on the wave. Every point on a wave is a source for another wave.
![hee.PNG](https://static.wixstatic.com/media/71b23a_c36eee641e1e449985b6c7bcb91d6ebe~mv2.png/v1/fill/w_600,h_304,al_c,q_85,usm_0.66_1.00_0.01,enc_avif,quality_auto/hee_PNG.png)
![oof.PNG](https://static.wixstatic.com/media/71b23a_2b46832dc4a64244b9b0273cb9d75771~mv2.png/v1/fill/w_440,h_142,al_c,q_85,enc_avif,quality_auto/oof_PNG.png)
STANDING WAVES
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Combination of two waves moving in opposite directions with the same amplitude and frequency
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Particles are going to be still (they will not move, only oscillate) and there will be no transfer of energy
No. of nodes = no. of antinode + 1
Antinodes = no. of loops
​
NODAL LINE – A set of points where waves interfere destructively and that remain at rest in the equilibrium position.
ANTINODAL LINE – A set of points where waves interfere constructively and that have maximum displacements in the medium.
![aye..PNG](https://static.wixstatic.com/media/71b23a_c08027c7c0aa447ab613ebfbdaab6073~mv2.png/v1/fill/w_600,h_221,al_c,q_85,usm_0.66_1.00_0.01,enc_avif,quality_auto/aye__PNG.png)
CLOSE-OPEN END
![xMoVvuvPS3auVh2vk1G1_closed+organ+pipe.J](https://static.wixstatic.com/media/71b23a_573f3fe41278493aae50a8c368ba7795~mv2.jpg/v1/fill/w_476,h_230,al_c,q_80,usm_0.66_1.00_0.01,enc_avif,quality_auto/xMoVvuvPS3auVh2vk1G1_closed%2Borgan%2Bpipe_J.jpg)
CLOSE-CLOSE END
![eLxQFDJ4ez-normalmodes.png](https://static.wixstatic.com/media/71b23a_e6cb5e5c19ad43fbbfd1356d5cdb9e43~mv2.png/v1/fill/w_515,h_394,al_c,q_85,usm_0.66_1.00_0.01,enc_avif,quality_auto/eLxQFDJ4ez-normalmodes.png)
OPEN-OPEN END
![cf8471962410380d3804dd83477d6059.jpg](https://static.wixstatic.com/media/71b23a_49eb7d125d8c40f695eb684b1be9d7e7~mv2.jpg/v1/crop/x_0,y_37,w_989,h_664/fill/w_467,h_314,al_c,q_80,usm_0.66_1.00_0.01,enc_avif,quality_auto/cf8471962410380d3804dd83477d6059.jpg)
Rayleigh Criteria (only works for circular aperture)
![ray.PNG](https://static.wixstatic.com/media/71b23a_330d7243958544cba634cee8db434cfd~mv2.png/v1/fill/w_714,h_258,al_c,q_85,usm_0.66_1.00_0.01,enc_avif,quality_auto/ray_PNG.png)
DIFFRACTION BY THIN FILM
![1.PNG](https://static.wixstatic.com/media/71b23a_cc23325aff734c5591461257d1e98349~mv2.png/v1/fill/w_600,h_274,al_c,q_85,usm_0.66_1.00_0.01,enc_avif,quality_auto/1_PNG.png)
![2.PNG](https://static.wixstatic.com/media/71b23a_6a7033ff689d457499cb8d43490ce233~mv2.png/v1/fill/w_233,h_134,al_c,q_85,enc_avif,quality_auto/2_PNG.png)
DIFFRACTION GRATING
![dia.PNG](https://static.wixstatic.com/media/71b23a_728fc26c1b16461c8595866a0f9933c5~mv2.png/v1/fill/w_359,h_272,al_c,q_85,enc_avif,quality_auto/dia_PNG.png)
![oofie.PNG](https://static.wixstatic.com/media/71b23a_2335b26f9b3348c49dd3cfeda28cb1ac~mv2.png/v1/fill/w_268,h_85,al_c,q_85,enc_avif,quality_auto/oofie_PNG.png)