If energy(E), velocity(V) and time(T) are chosen as fundamental quantities,

⇦

⇨

If energy(E), velocity(V) and time(T) are chosen as fundamental quantities, the dimensional formula of surface tension will be

Options

(a) EV⁻¹T⁻²
(b) EV⁻²T⁻²
(c) E⁻²V⁻¹T⁻³
(d) EV⁻²T⁻¹

Correct Answer:

EV⁻²T⁻²

Explanation:

Let surface tension s = EᵃVᵇTᶜ
MLT⁻² / L = (ML²T⁻²)ᵃ (L / T)ᵇ (T)ᶜ
Equating the dimension of LHS and RHS
ML⁰T⁻² = MᵃL²ᵃ⁺ᵇT⁻²ᵃ⁻ᵇ⁺ᶜ
⇒ a = 1, 2a + b = 0, -2a -b + c = -2
⇒ a = 1, b = -2, c = -2
Hence, the dimensions of surface tension are [EV⁻²T⁻²].

Related Questions:

1. A wheel of mass 10 kg has a moment of inertia of 10 kgm² about its own axis
2. 4.0 g of a gas occupies 22.4 litres at NTP. The specific heat capacity of the gas
3. What are the unit of K = 1 / (4 π ?￢ﾂﾒ)
4. An α-particle and a proton travel with the same velocity in a magnetic field
5. A 70 kg man stands in contact against the inner wall of a hollow cylindrical drum

Topics: Physical World and Measurement (103)
Subject: Physics (2479)

---

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

---

Share this page with your friends