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Waves question

2008 · Shift 0 · Q74
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Waves question

2008 · Shift 0 · Q74

JEE MainPhysicsWavesMCQ+4 / −1
A wave travelling along the xxx-axis is described by the equation y(x,t)=0.005y(x, t)=0.005y(x,t)=0.005 cos⁡ (α x−βt).\cos \,\left( {\alpha \,x - \beta t} \right).cos(αx−βt). If the wavelength and the time period of the wave are 0.08m0.08m0.08m and 2.0s2.0s2.0s, respectively, then α\alphaα and β\betaβ in appropriate units are
  1. A
    α=25.00π, β=π\alpha = 25.00\pi ,\,\beta = \piα=25.00π,β=π
  2. B
    α=0.08π, β=2.0π\alpha = {{0.08} \over \pi },\,\beta = {{2.0} \over \pi }α=π0.08​,β=π2.0​
  3. C
    α=0.04π, β=1.0π\alpha = {{0.04} \over \pi },\,\beta = {{1.0} \over \pi }α=π0.04​,β=π1.0​
  4. D
    α=12.50π, β=π2.0\alpha = 12.50\pi ,\,\beta = {\pi \over {2.0}}α=12.50π,β=2.0π​
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