InterviewSolution
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InterviewSolution
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Following are equations of four waves : (i) `y_(1) = a sin omega ( t - (x)/(v))` (ii) `y_(2) = a cos omega ( t + (x)/(v))` (iii) `z_(1) = a sin omega ( t - (x)/(v))` (iv) `z_(1) = a cos omega ( t + (x)/(v))` Which of the following statements are correct ?A. On superposition of waves (i) and (iii) , a travelling wave having amplitude `a sqrt(2)` will be formedB. Superposition of waves (ii) and (iii) is not possibleC. On superposition of waves (i) and (ii) , a travelling wave having amplitude `a sqrt(2)` will be formedD. On superposition of (iii) and (iv) , a transverse stationary wave will be formed |
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Answer» Correct Answer - A::D New wave ` = y_(1) hat(j) + z_(1) hat(k)` ` = ( a hat(j) + a hat(k)) sin omega(( t - x)/(v))` Amplitude ` = | a hat(j) + a hat(k)| = a sqrt(2)` (i) and (ii) are travelling in opposite directions , so they will form stationary waves. Similarly (iii) and (iv) will make the stationary wave. |
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