f a particle executes uniform circular motion, choose the correct statement ____a)The
velocity and speed are constant b) the acceleration and speed are constant c) the
velocity and acceleration are constant d)the speed and the magnitude of acceleration
are constant
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Question:—
⠀⠀⠀⠀If a particle executes uniform ⠀⠀⠀⠀circular motion, choose the ⠀⠀⠀⠀correct statement .
⠀⠀⠀⠀a) The velocity and speed are ⠀⠀⠀⠀⠀⠀constant.
⠀⠀⠀⠀b) The acceleration and speed ⠀⠀⠀⠀⠀⠀are constant.
⠀⠀⠀⠀c) The velocity and acceleration ⠀⠀⠀⠀⠀⠀are constant.
⠀⠀⠀⠀d) The speed and the magnitude ⠀⠀⠀ ⠀ of acceleration are constant.
Solution:—
- In uniform circular motion, speed is constant.
- In uniform circular motion, velocity is variables because at every point on the circle, the direction of velocity is tangential. So, it's direction changes and hence velocity also changes.
- In uniform circular motion, acceleration is also variable because at every point it's direction changes.
- In uniform, circular motion, Magnitude of velocity that means speed changes.
- In uniform, circular motion, Magnitude of acceleration also changes.
So, On observing above statements,
The correct answer is,
⠀⠀⠀⠀d) The speed and the magnitude ⠀⠀⠀⠀⠀⠀of acceleration are constant.
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