Which of the following quantities are always negative in a simple… - Vidyadip

MCQ

Which of the following quantities are always negative in a simple harmonic motion?

$\overrightarrow{\text{F}}.\overrightarrow{\text{a}}$
$\overrightarrow{\text{v}}.\overrightarrow{\text{r}}$
$\overrightarrow{\text{a}}.\overrightarrow{\text{r}}$
$\overrightarrow{\text{F}}.\overrightarrow{\text{r}}$

A
$A$ and $B$
B
$A$ and $D$
C
$B$ and $D$
✓
$C$ and $D$

✓

Answer

Correct option: D.

$C$ and $D$

In $\text{S.H.M.}$,
$F = -kx$
Therefore, $\overrightarrow{\text{F}}.\overrightarrow{\text{r}}$ will always be negative. As acceleration has the same direction as the force, $\overrightarrow{\text{a}}.\overrightarrow{\text{r}}$ will also be negative, always.

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