Two sound waves are represented by the following equations y1 - 10sin3- - 0-03x and y2 - 5sin3- t - 0-03x - 5-3cos3- t - 0-03 xThen- the ratio of their amplitudes is given by

The correct option is A 1:1 mistake in the question .if it is 5 √(3) , then the below equation is a combination of two waves nbsp;with pase differ ...

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Standard XII

Physics

Resultant Amplitude

Two sound wav...

Question

Two sound waves are represented by the following equations
$y_{1} = 10 sin (3 π - 0.03 x)$ and
$y_{2} = 5 sin (3 π t - 0.03 x) + 5 \sqrt{3} cos (3 π t - 0.03 x)$
Then, the ratio of their amplitudes is given by

1 : 1

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1 : 2

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2 : 1

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2 : 5

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Solution

The correct option is A $1 : 1$
mistake in the question .
if it is $5 \sqrt{3}$ , then the below equation is a combination of two waves with pase difference of $\frac{π}{2} .$
hence its amplitude is $\sqrt{5^{2} + {(5 \sqrt{3})}^{2}}$ = 10 . hence ratio is 1:1

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Two sound waves are represented by the following equations y1=10sin(3π−0.03x) and y2=5sin(3πt−0.03x)+5√3cos(3πt−0.03x)Then, the ratio of their amplitudes is given by

The correct option is A 1:1mistake in the question .if it is 5√3 , then the below equation is a combination of two waves with pase difference of π2. hence its amplitude is √52+(5√3)2 = 10 . hence ratio is 1:1

Two sound waves are represented by the following equations
$y_{1} = 10 sin (3 π - 0.03 x)$ and
$y_{2} = 5 sin (3 π t - 0.03 x) + 5 \sqrt{3} cos (3 π t - 0.03 x)$
Then, the ratio of their amplitudes is given by

The correct option is A $1 : 1$
mistake in the question .
if it is $5 \sqrt{3}$ , then the below equation is a combination of two waves with pase difference of $\frac{π}{2} .$
hence its amplitude is $\sqrt{5^{2} + {(5 \sqrt{3})}^{2}}$ = 10 . hence ratio is 1:1