Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Dimensional formula of velocity of sound is
Text Solution
Verified by ExpertsThe correct answer is:
C
To determine the dimensional formula of the velocity of sound, we start with the concept of velocity itself.
**Step 1: Understanding Velocity**
Velocity is defined as the distance traveled per unit time. The formula is given by:
$$ v = \frac{s}{t} $$
where:
- $v$ is velocity,
- $s$ is distance,
- $t$ is time.
**Step 2: Dimensional Formulas**
The dimensional formula for distance ($s$) is $[L]$ (length), and the dimensional formula for time ($t$) is $[T]$.
**Step 3: Combining Dimensional Formulas**
Therefore, the dimensional formula for velocity ($v$) can be expressed as:
$$ [v] = [L][T]^{-1} $$
Hence, the dimensional formula of velocity is:
$$ [M^0 L^1 T^{-1}] $$
This corresponds to option C. Therefore, the correct answer is C.
**Step 1: Understanding Velocity**
Velocity is defined as the distance traveled per unit time. The formula is given by:
$$ v = \frac{s}{t} $$
where:
- $v$ is velocity,
- $s$ is distance,
- $t$ is time.
**Step 2: Dimensional Formulas**
The dimensional formula for distance ($s$) is $[L]$ (length), and the dimensional formula for time ($t$) is $[T]$.
**Step 3: Combining Dimensional Formulas**
Therefore, the dimensional formula for velocity ($v$) can be expressed as:
$$ [v] = [L][T]^{-1} $$
- Where $[L]$ represents the dimension of length.
- $[T]^{-1}$ indicates the inverse relation to time.
Hence, the dimensional formula of velocity is:
$$ [M^0 L^1 T^{-1}] $$
This corresponds to option C. Therefore, the correct answer is C.
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