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A travelling wave travelled in string in `+x` direction with `2 cm//s`, particle at `x = 0` oscillates according to equation y (in mm) `= 2 sin (pi t+pi//3)`. What will be the slope of the wave at `x = 3cm` and `t = 1s` ?A. `-sqrt(3)pi//20`B. `-sqrt(3)pi//2`C. `tan^(-1)(-sqrt(3)pi//2)`D. `-sqrt(3)pi` |
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Answer» Correct Answer - A Equation of wave can be given as `y=0.2sin(pit-(pi)/(2)x+(pi)/(3))` slope `=(dely)/(delx)=-0.1xxpicos(pit-(pi)/(2)x+(pi)/(3))` `(dely)/(delx)=-(pi)/(10)cos[pi-(3pi)/(2)+(pi)/(3)]` `=-(sqrt(3))/(20)` |
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