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QAIPMT-2010-Ph-1987: NEET 2010 Physics - Class 11 AIPMT-2010-Ph-1987 Solution: A particle moves in x-y plane according to rule \(x=a t\) and…
A particle moves in x-y plane according to rule and . The particle follows
Multiple Choice Options
- A an elliptical path
- B a circular path
- C a parabolic path
- D a straight line path inclined equally to x and y-axes
Step-by-Step Verified Solution
x = a sin _ _ t or x a = sin _ _ t ....(1)
y = a cos _ _ t or y a = cos _ _ t ....(2)
Squaring and adding, we get
x 2 a 2 + y 2 a 2 = 1 ( _ cos 2 _ t + sin 2 _ t = 1 )
or x 2 + y 2 = a 2
This is the equation of a circle. Hence particle
follows a circular path.