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Q.

A string wave is represented by $y = A \sin {k x + ω t}$ . Snapshot of string at $t = 0$ is shown in the diagram. Let $R_{A}, R_{B}, R_{C} & R_{D}$ represent rate of change of mechanical energy of a small element of string located at A, B, C & D respectively. Then choose the CORRECT option (s); Assume $A < < \frac{2 π}{k}$ .

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a

$| R_{A} | = | R_{B} | = | R_{C} | = | R_{D} |$

b

$R_{A} a n d R_{B}$ are positive, while $R_{C} a n d R_{D}$ are negative

c

$R_{B} a n d R_{D}$ are positive, while $R_{A} a n d R_{C}$ are negative

d

$R_{A} a n d R_{C}$ are positive, while $R_{B} a n d R_{D}$ are negative

answer is A, C.

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Detailed Solution

Rate of change of mechanical energy of a small element

$= 2 (d m) (v_{y}) (a_{y})$

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