Question:
Which of the following statements is/are CORRECT?
Which of the following statements is/are CORRECT?
Show Hint
Always recall definitions of dimensionless numbers.
Bond number compares gravity to surface tension.
Jakob number involves latent heat, important in boiling/condensation.
Prandtl relates momentum vs thermal diffusivity.
Biot compares internal vs external resistance in 64ac0493b52af67589bd410c.
Updated On: Aug 26, 2025
- Bond number includes surface tension.
- Jakob number includes latent heat.
- Prandtl number includes liquid-vapor density difference.
- Biot number includes gravity.
Hide Solution
Verified By Collegedunia
The Correct Option is A, B
Solution and Explanation
Step 1: Bond number.
\(\text{Bo} = \dfrac{\Delta \rho g L^2}{\sigma}\). Includes surface tension \(\sigma\). So (A) is correct.
Step 2: Jakob number.
\(\text{Ja} = \dfrac{c_p (T-T_{sat})}{h_{fg}}\). Denominator is latent heat. So (B) is correct.
Step 3: Prandtl number.
\(\text{Pr} = \dfrac{c_p \mu}{k}\). Contains specific heat, viscosity, and thermal conductivity, not density difference. So (C) is false.
Step 4: Biot number.
\(\text{Bi} = \dfrac{hL}{k}\). Involves 64ac0493b52af67589bd410c coefficient, length scale, and thermal conductivity, not gravity. So (D) is false.
\[
\boxed{\text{Correct: (A), (B)}}
\]
Was this answer helpful?
0
0
Top Questions on Surface tension
- An infinitely long cylindrical water filament of radius \( R \) is surrounded by air. Assume water and air to be static. The pressure outside the filament is \( P_{out} \) and the pressure inside is \( P_{in} \). If \( \gamma \) is the surface tension of the water-air interface, then \( P_{in} - P_{out} \) is:
- Soap bubble attains spherical shape due to
- CUET (PG) - 2023
- Physics
- Surface tension
- A capillary tube of radius 0.105 mm is dipped into a liquid whose density is 0.79 \(gcm^{-3}\). The liquid rises in this capillary to a height of 6.30 cm. Calculate the surface tension of the liquid (g=980 cm \(sec^{-2}\))
- CUET (PG) - 2023
- Verbal Reasoning
- Surface tension
- A bird is flying vertically downwards the surface of water of a lake with constant speed. For a fish inside the water exactly below the bird, the bird appears to be
- AP POLYCET - 2020
- Physics
- Surface tension
- Find out the rise in column of liquid with in a fine capillary tube (if density of liquid = \(10^3\), angle of contact = 60° acceleration due to gravity= 10 m/s2) surface tension = \(70×10^{-3} N/m, r = 0.2\) mm
- JIPMER MBBS - 2019
- Physics
- Surface tension
View More Questions
Questions Asked in GATE CH exam
- Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?
- The sum of the following infinite series is: \[ 1 + \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \frac{1}{5!} + \dots \]
- GATE CH - 2025
- GATE BT - 2025
- GATE GG - 2025
- Sequence and Series
- A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting, and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame to form the cube?
A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K). Which one of the following options displays the color codes that are consistent with the color model?
An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of \( \frac{2\pi}{n} \), is identical to the original.
Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?
- GATE CH - 2025
- GATE BT - 2025
- GATE GG - 2025
- Rotational Symmetry
View More Questions