-8203- -8203-2-a wave disturbance in a medium is described by y-x-t- - 0-02cos-50 pi-t - pi-2-cos-10 pi-x- where x and y are in metre and t is second-a nbsp-node occurs at x - 0-15 m - state true or false with exp-

Dear student Node #160;is #160;formed #160;at #160;point #160;where #160;y=0 #160; #160;for #160;all #160;the #160;time #160;and #160; ...

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Standard XII

Physics

Reflection from an Open End

#8203; #820...

Question

2.a wave disturbance in a medium is described by y(x,t) = 0.02cos(50πt + π/2)cos(10πx) where x and y are in metre and t is second,a node occurs at x = 0.15 m . state true or false with exp.

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Solution

Dear student
$N o d e i s f o r m e d a t p o i n t w h e r e y = 0 f o r a l l t h e t i m e a n d t h i s i s p o s s i b l e w h e n \cos (10 π x) = 0 (10 π x) = (2 n + 1) \times \frac{π}{2} (10 x) = (2 n + 1) \times \frac{1}{2} x = \frac{(2 n + 1)}{20} x = \frac{1}{20} f o r n = 0 x = \frac{3}{20} f o r n = 1 x = 0.15 m s o g i v e n s t a t e m e n t i s t r u e . R e g a r d s$

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​​2.a wave disturbance in a medium is described by y(x,t) = 0.02cos(50πt + π/2)cos(10πx) where x and y are in metre and t is second,a node occurs at x = 0.15 m . state true or false with exp.

Dear student Node is formed at point where y=0 for all the time and this is possible when cos(10πx)=0(10πx)=(2n+1)×π2(10x)=(2n+1)×12x=(2n+1)20x=120 for n=0x=320 for n=1x=0.15mso given statement is true.Regards

2.a wave disturbance in a medium is described by y(x,t) = 0.02cos(50πt + π/2)cos(10πx) where x and y are in metre and t is second,a node occurs at x = 0.15 m . state true or false with exp.