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Physics · JEE | UNITS AND MEASUREMENT

हिन्दी

If energy \( E \), velocity \( v \), and time \( T \) are chosen as the fundamental units, the dimensional formula for surface tension is:

  1. A
    \( [E v^{-2} T^{-1}] \)
  2. B
    \( [E v^{-1} T^{-2}] \)
  3. C
    \( [E v^{-2} T^{-2}] \)
  4. D
    \( [E v^{-3} T^{-2}] \)
View Answer & Solution

Correct answer · Option C

\( [E v^{-2} T^{-2}] \)

Explanation

Surface tension \( S = [\text{MT}^{-2}] \). Expressing \( M, L, T \) in terms of \( E = [\text{ML}^2\text{T}^{-2}], v = [\text{LT}^{-1}], T = [\text{T}] \) yields \( S = [E v^{-2} T^{-2}] \).
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