Question

ratio of dimension of velocity to accelration is​

Answer 1

Answer:

velocity has dimensions LT −1,, and acceleration LT −2. We shall use square brackets [] to denote the dimensions of a quantity, for example, for velocity, we write [v]=LT −1. Force must have the same dimensions as mass times acceleraacceleration, so [F]=MLT −2.

Explanation:

velocity has dimensions LT −1,, and acceleration LT −2. We shall use square brackets [] to denote the dimensions of a quantity, for example, for velocity, we write [v]=LT −1. Force must have the same dimensions as mass times acceleration, so [F]=MLT −2.

Answer 2

Answer:

Dimension of Velocity is

${l}^{1} {t}^{ - 1}$

Dimension of Acceleration is

Velocity/Time

$= \frac{ {l}^{1} {t}^{ - 1} }{t}$

$= {l}^{1} {t}^{ - 2}$

Ratio of dimension of Velocity to acceleration is

$= \frac{ {l}^{1} {t}^{ - 1} }{ {l}^{1} {t}^{ - 2} }$

$= \\ \frac{ {t}^{ - 1} }{ {t}^{ - 2} }$

$= \frac{1}{t} \div {t}^{ - 2}$

$= \frac{1}{t} \times {t}^{2}$

$= t$

Therefore, The ratio of dimensions of Velocity to acceleration is t:1 or time itself.