The dimensional formula of surface tension is:
Show Hint
\( [L^{-1}M^1T^{-2}] \)
\( [L^2M^1T^{-2}] \)
\( [L^1M^1T^{-1}] \)
- \( [L^0M^1T^{-2}] \)
The Correct Option is D
Solution and Explanation
Step 1: Surface tension is defined as the force per unit length: \[ T = \frac{{Force}}{{Length}}. \] The dimensional formula of force is: \[ [F] = M L T^{-2}. \] By dividing force by length (\( L \)), we obtain the dimensional formula for surface tension: \[ [T] = M L^{-1} T^{-2}. \] Step 2: After comparing with the given options, the correct answer is option (d).
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