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QAIPM-2000-Ph-3016: NEET 2000 Physics - Class 11 AIPM-2000-Ph-3016 Solution: The equations of two waves acting in perpendicular directions…
The equations of two waves acting in perpendicular directions are given as and , where , the resultant wave represents
Multiple Choice Options
- A a parabola
- B a circle
- C an ellipse
- D a straight line
Step-by-Step Verified Solution
Given : x = acos( _ t + _ )
and y = acos( _ t + _ ) ...(i)
where, _ = _ + � / 2
_ x = a c o s ( _ t + _ + � / 2 )
= �asin( _ t + _ ) ...(ii)
Given the two waves are acting in perpendicular direction with the same frequency and phase difference � /2.
From equations (i) and (ii),
x 2 + y 2 = a 2
which represents the equation of a circle.