If the wave front of electromagnetic wave travelling in vacuum is given by r→$$=i^+j^+k^$$, find the angle made by the direction of propagation of electromagnetic wave with $$z-axis$$?

Correct option is 3θ=cos−113

Questions

If the wave front of electromagnetic wave travelling in vacuum is given by $\vec{r} = \hat{i} + \hat{j} + \hat{k}$ , find the angle made by the direction of propagation of electromagnetic wave with z-axis?

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θ=cos−113

θ=cos−123

θ=cos−113

θ=cos−123

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detailed solution

Correct option is C

If θ is the angle which the direction of propagation of electro magnetic wave makes with z-axis then cosθ=r→.k^|r¯|=(i^+j^+k^).k^(1)2+(1)2+(1)2=13 ⇒θ=cos−1(13)

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If the wave front of electromagnetic wave travelling in vacuum is given by r→=i^+j^+k^, find the angle made by the direction of propagation of electromagnetic wave with z-axis?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If the wave front of electromagnetic wave travelling in vacuum is given by $\vec{r} = \hat{i} + \hat{j} + \hat{k}$ , find the angle made by the direction of propagation of electromagnetic wave with z-axis?