The equation of a wave is given by y=10 sin ⁡( 2 45t+ ). If the displacement is 5 cm at t=0, then the total phase at t=7.5 sec is

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Correct answer: B. (b) The given equation of a wave is y=10 sin ⁡( 2 45t+ ) At t=0 ,y=5 cm ∴ 5=10 sin ⁡ 12= sin ⁡ sin ⁡ ( 6 )= sin ⁡ = 6 … . . (i ) Hence, the total phase at t=7.5 s(= 152 s) is = 2 45 152+ = 3+ 6 … . ( usingi ) = 3 6= 2

$The equation of a wave is given by y = 10 sin (\frac{2 π}{45} t + α) . If the displacement is 5 cm at t = 0, then the total phase at t = 7.5 sec is$

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