Question

Let $a_r$ and $a_t$ represents radial and tangential acceleration. The motion of a particle may be circular if

• A. $a_r=0,a_t=0$
• B. $a_r=0,a_t\ne 0$
• C. $a_r\ne 0,a_t=0$
• D. None of these

Answer 1

The correct option is C $a_r\ne 0,a_t=0$

(1) if $a_r=0$ and $a_t=0$, then motion is uniform translatory.
(2)if $a_r=0$ and $a_t\ne 0$, then the motion is accelerated translatory.
(3)if $a_r\ne 0$ but $a_t=0$, then the motion is uniform circular.
(4)if $a_r\ne 0$ and $a_t\ne 0$, then the motion is non-uniform circular.
hence,option C is correct.