A progressive wave equation is represented by y = a sin(150 πt - \(\frac{πx}{4}\)). if the phase difference of a progressive wave is 45°, the value of x in the equation is
3 cm
4 cm
1 cm
2 cm
Explanation
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Φ=2πx/λ
compare with πx/4
πx/4=2πx/λ
πx cancles in both sides
λ=8
so
45°=2πx/8
2πx=360
and π=180°
so
x=360/360
x=1

please the admin should review the workings of this question. The answer gotten is not correct.
y=A sin (150€t - €x/4) take € as pi
from equation given,
phase angle =45 = €x/4
45 * 4 = 180
€x = 180. (pi = 180)
Therefore x = 1cm
option C

Φ=2πx/λ
compare with πx/4
πx/4=2πx/λ
πx cancles in both sides
λ=8
so
45°=2πx/8
2πx=360
and π=180°
so
x=360/360
x=1

phase difference is from ur equation.....nt the other way round myschoolers.....option c is correct




