MCQ
A particle is observed from two frames $S_1$ and. $S_2$. The frame $S_2$ moves with respect to $S_1$ with an acceleration $a$. Let $F_1$ and $F_2$ be the pseudo forces on the particle when seen from $S_1$ and $S_2$ respectively. Which of the following are not possible?
  • A
    $F_1=0, F_2 \neq 0$
  • B
    $F_1 \neq 0, F_2=0$
  • C
    $F_1 \neq 0, F_2 \neq 0$
  • $F_1=0, F_2=0$

Answer

Correct option: D.
$F_1=0, F_2=0$
$\text{a}_{\text{s}_1\text{s}_2}=\text{a} \ ...(1) $
Acceleration of the particle w.r.t. to $\text{S}_1=\frac{\text{F}_1}{\text{m}}$
Acceleration of the particle w.r.t. to $\text{S}_2=\frac{\text{F}_2}{\text{m}}$
If we assume $F_1 = 0$ and $F_2 = 0$,
we can conclude that $\text{a}_{\text{s}_2\text{s}_1}=0 \ ...(2)$
From equations $(1)$ and $(2)$, we can say that our assumption is wrong.
And $F_1 = 0, F_2 = 0$ is not possible.

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