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When a wave transverses in a medium, the displacement of a particle located at distance x at time t is given by `y=a sin (bt-cx)` where a, b and c are constants of the wave. The dimension of `b//c` are same as that of:A. wave velocityB. wave lengthC. wave amplitudeD. wave frequency |
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Answer» but and cx are arguments of sine thus they are dimensionless `bt=M^(2)L^(0)T^(0) cx=M^(0)L^(0)T^(0)` `b=M^(0)L^(0)T^(-1) c=M^(0)L^(-1)T^(0)` `b//c=(T^(-1))/(L^(-1))=LT^(-1)=v="wave velocity"` |
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