Question 486: Waves

Question

Two waves having equation x
1
= $$a$$sin($$\omega $$t $$-$$ kx + $$\phi $$
1
), x
2
= asin($$\omega $$t $$-$$kx + $$\phi $$
2
). If in the resultant wave the frequency and amplitude remain equal to amplitude of superimposing waves, the phase difference between them  is

Accepted Answer

Resultant amplitude = 2a (1 + cos$$\phi $$) = a
$$ 	herefore $$ $$\left( {1 + \cos \phi } ight) = 1/2;$$
$$cos\phi  =  - {1 \over 2};\phi  = {{2\pi } \over 3}$$

Answer

$${\pi  \over 6}$$

Answer

$${{2\pi } \over 3}$$

Answer

$${\pi  \over 4}$$

Answer

$${\pi  \over 3}$$

Waves

Two waves having equation x 1 = $asin(\omega t - kx + \phi 1 ), x 2 = asin(\omega t -kx + \phi $ 2 ). If in the resultant wave the frequency and amplitude remain equal to amplitude of superimposing waves, the phase difference between them is

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