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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//2`B. `tan^(-1)(-sqrt(3)pi//2)`C. `-sqrt(3)pi//20`D. `-sqrt(3)pi` |
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Answer» Correct Answer - C A travelling wave………….. `y = 2sin pi(t-(x)/(2)+(1)/(3))` `(dy)/(dx) = 2cos (pi t - (pi x)/(2)+(pi)/(3))xx(-(pi)/(2))` Equation of wave can be given as `y = 0.2 sin (pi t - (pi)/(2)x +(pi)/(3))` Slope3 `= (del y)/(del x) = -0.1xxpi cos (pi t-(pi)/(2)x +(pi)/(3))` `(del y)/(del x)= -(pi)/(10)cos [pi - (3pi)/(2)+(pi)/(3)]= - (sqrt(3)pi)/(20)` |
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