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Class 11 NEET Physics Motion in a Plane Questions
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© examsnet.com
Question : 34
Total: 74
A particle moves in x-y plane according to rule x = asinωt and y = acosωt.The particle follows
(2010 Mains)
an elliptical path
a circular path
a parabolic path
a straight line path inclined equally to x and y-axis
Validate
Solution:
x
=
a
s
i
n
ω
t
or
x
a
=
s
i
n
ω
t
.........(i)
y
=
a
c
o
s
ω
t
or
y
a
=
c
o
s
ω
t
.........(ii)
Squaring and adding, we get
x
2
a
2
+
y
2
a
2
=
1
(
∵
c
o
s
2
ω
t
+
s
i
n
2
ω
t
=
1
)
x
2
+
y
2
=
a
2
This is the equation of a circle. Hence particle follows a circular path.
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