| ⇦ | 
| ⇨ |
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: - A boat taken 2h to travel 8km and back in still water.If the velocity of water 4 km/h
- An object placed at 20 cm in front of a concave mirror produces three times
- The velocity of radio-waves is 3×10⁵ km/s. The frequency corresponding to wavelength
- A thin and circular disc of mass M and radius R is rotating in a horizontal plane
- Stress to strain ratio is equivalent to
Topics: Physical World and Measurement
(103)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A boat taken 2h to travel 8km and back in still water.If the velocity of water 4 km/h
- An object placed at 20 cm in front of a concave mirror produces three times
- The velocity of radio-waves is 3×10⁵ km/s. The frequency corresponding to wavelength
- A thin and circular disc of mass M and radius R is rotating in a horizontal plane
- Stress to strain ratio is equivalent to
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