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Expression for Standing Waves

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Question

write down possible equation of a wave travelling towards +ve z axis with velocity and particles vibrating along x axis

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Solution

$D e a r s t u d e n t t h e r e q u i r e e q u a t i o n i s a s f o l l o w s : - X_{+} = X_{0} \cos (k z - ω t) X_{0} = a m p l i t u d e a l o n g x a x i s X = i n s \tan \tan e o u s d i s p l a c e m e n t a l o n g x a x i s k = w a v e n u m b e r ω = w a v e a n g u l a r f r e q u e n c y z = i n s \tan \tan e o u s z p o s i t i o n / c o o r d i n a t e$

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