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प्रश्न
The dimensional formula of surface tension is ______.
पर्याय
[L−1M1T−2]
[L2M1T−2]
[L1M1T−1]
[L0M1T−2]
उत्तर
The dimensional formula of surface tension is [L0M1T-2].
Explanation:
Surface Tension (T) = Force × Length−1 ...(1)
Since Force = Mass × Acceleration
And acceleration = velocity × time−1 = [L T−2]
∴ The dimensional formula of force = M1 L1 T−2
On substituting equation (2) in equation (1), we get,
Surface Tension (T) = Force × Length−1
Or, T = [M1 L1 T−2] × [L−1] = M1 T−2.
Therefore, surface tension is dimensionally represented as [L0M1T−2].
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