| ⇦ | 
| ⇨ |
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: - Which of the following is or the property of a cathode ray
- A particle moves with constant speed v along a circular path of radius r and completes
- Two identical cells of the same e.m.f. and same internal resistance
- The slope of the graph showing the variation of potential difference V on X-axis
- For inelastic collision between two spherical rigid bodies
Topics: Physical World and Measurement
(103)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Which of the following is or the property of a cathode ray
- A particle moves with constant speed v along a circular path of radius r and completes
- Two identical cells of the same e.m.f. and same internal resistance
- The slope of the graph showing the variation of potential difference V on X-axis
- For inelastic collision between two spherical rigid bodies
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
Leave a Reply