NEET UG PHYSICS MCQ: MOTION IN PLANE

1 Hard

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Analyzing +4 | -1

The

x

and

y

-coordinates of a particle moving in a plane are given by

x(t)=a \cos (p t)

and

y(t)=b \sin (p t)

, where

a, b( < a)

and

p

are positive constants of appropriate dimensions and

t

is time. Then, which of the following is not true?

View answer and explanation

Correct option: D

Distance travelled by the particle in time interval between

t=0

and

t=\frac{\pi}{2 p}

a

Option D is correct. The distance traveled by the particle in the given time interval is not simply 'a' because the motion is elliptical, not linear.

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\mathrm{\vec a}\,and\,\mathrm{\vec b}

\mathrm{\vec a}\,and\,\mathrm{\vec b}

\overrightarrow P \,\,.\,\,\overrightarrow Q = 0\,and\,\overrightarrow P \,\, \times \,\,\overrightarrow Q = 0

\overrightarrow Q \,and\,\overrightarrow R

\vec{A}=3 \hat{i}+4 \hat{j}

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A

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\overrightarrow{\mathrm{A}}

\overrightarrow{\mathrm{B}}

{\cot ^{ - 1}}\left( 2 \right)