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. The work done in rotating a magnetic of magnetic moment 2 A-m² in
2. The energy of the em waves is of the order of 15 keV. To which part of the spectrum
3. The energy released in the fission of 1 kg of ₉₂U²³⁵ is (energy per fission = 200 MeV)
4. The ratio of the numerical value of the average velocity and average speed
5. Activity of a radioactive sample decreases to (1/3)rd of its original value

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