CBSE Class 11-science Answered

please answer this (only question no.12)

Asked by Prashant DIGHE | 02 Jun, 2020, 09:55: PM

Expert Answer

We have to find the number of times Y1+Y2=0 in 1 sec,for x=0

a t space x equals 0 space y subscript 1 equals A C o s left parenthesis negative 100 pi t right parenthesis y subscript 2 equals A C o s left parenthesis negative 92 pi t right parenthesis y subscript 1 plus y subscript 2 equals A C o s left parenthesis negative 100 pi t right parenthesis plus A C o s left parenthesis negative 92 pi t right parenthesis left parenthesis C o s C plus C o s D equals 2 C o s fraction numerator C plus D over denominator 2 end fraction C o s fraction numerator C minus D over denominator 2 end fraction right parenthesis y subscript 1 plus y subscript 2 equals 2 C o s fraction numerator 192 pi t over denominator 2 end fraction C o s fraction numerator 8 pi t over denominator 2 end fraction y subscript 1 plus y subscript 2 equals 2 C o s 96 pi t C o s 4 pi t 96 pi t equals 2 pi f f equals 48 H z A n d space i n space o n e space c y l e space t h e space f u n c t i o n space r e a c h e s space z e r o space t w i c e h e n c e space f o r space C o s 96 pi t comma space y subscript 1 plus y subscript 2 equals 0 space comma 96 space t i m e s S i m i l a r l y 4 pi t equals 2 pi f f equals 2 H z h e n c e space f o r space C o s 4 pi t comma space y subscript 1 plus y subscript 2 equals 0 space comma 4 space t i m e s S i n c e space t h e y space b o t h space h a v e space d i f f e r e n t space f r e q u e n c y space t h e y space h a v e space d i f f e r e n t space p o i n t s space w h e r e space t h e space f u n c t i o n space b e c o m e s space z e r o S O space t o t a l space 100 space t i m e space y subscript 1 plus y subscript 2 equals 0.

Answered by Utkarsh Lokhande | 03 Jun, 2020, 08:30: AM

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CBSE Class 11-science Answered

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