A particle is moving in x-y plane according to \overrightarrow{r}=b \cos \omega t \hat{i}+b \sin \omega t \hat{j}. Where \omega is constant. Which of the following statement(s) is / are true?

\frac{E}{\omega} is a constant where E is the total energy of the particle

The trajectory of the particle in x-y plane is a circle

In {a}_{ {x}}- {a}_{ {y}} plane, trajectory of the particle is an ellipse ( {a}_{ {x}}, {a}_{ {y}} denotes the components of acceleration)

\overrightarrow{a}=\omega^{2} \overrightarrow{v}

WBJEE 2022 Physics and Chemistry Paper

Question : 39 of 80

Marks: +1, -0

A particle is moving in x−y plane according to

→

=b‌cos‌ω‌t‌

∧

+b‌sin‌ω‌t‌

∧

. Where ω is constant. Which of the following statement(s) is / are true?

‌
E
ω
is a constant where E is the total energy of the particle
The trajectory of the particle in x−y plane is a circle
In ax−ay plane, trajectory of the particle is an ellipse (ax,ay denotes the components of acceleration)
→
a
=ω2
→
v

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