Question:
If C is the velocity of light, g the acceleration due to gravity and P the atmospheric pressure, then the dimensions of length will be same as that of:
If C is the velocity of light, g the acceleration due to gravity and P the atmospheric pressure, then the dimensions of length will be same as that of:
Show Hint
Check dimensions term by term; divide powers carefully.
Updated On: Mar 20, 2026
- \( \dfrac{C}{g} \)
- \( \dfrac{C}{P} \)
- \( PCg \)
- (C²)/(g)
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Dimensions: [C] = LT⁻1, [g] = LT⁻2
Step 2: [(C²)/(g)] = dfracL²T⁻2LT⁻2 = L
Was this answer helpful?
0
0
Top BITSAT Physics Questions
Which of the following is the correct electronic configuration for \( \text{Oxygen (O)} \)?
- BITSAT - 2025
- Physics
- Atomic Structure
- A simple pendulum has a time period of 2 s on Earth's surface. What is its time period at a height equal to the Earth's radius (R)? (Acceleration due to gravity at height h is \( g_h = \frac{g}{(1 + h/R)^2} \)).
- BITSAT - 2025
- Physics
- Mechanics
- A block of mass 5 kg is placed on a frictionless incline of angle $30^\circ$. What is the acceleration of the block down the incline? (Take $g = 9.8\, m/s^2$)
- BITSAT - 2025
- Physics
- Projectile motion
- The equivalent resistance between points A and B in a circuit with two resistors of 6 \(\Omega\) each connected in parallel is:
- BITSAT - 2025
- Physics
- Current electricity
- A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?
- BITSAT - 2025
- Physics
- Kinematics
View More Questions
Top BITSAT Dimensional Analysis Questions
- In the formula X = 3YZ², X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSA system are
- BITSAT - 2021
- Physics
- Dimensional Analysis
- The frequency of vibration of a string is given by ν=(p)/(2l)√((F)/(m)) Here p is number of segments in the string and l is the length. The dimensional formula for ν will be:
- BITSAT - 2020
- Physics
- Dimensional Analysis
- In the formula X = 3YZ², X has dimensions of capacitance and magnetic induction respectively. The dimensional formula of Y in MKSA system is
- BITSAT - 2017
- Physics
- Dimensional Analysis
- The frequency of vibration of a string is given by
\( \nu = \dfrac{p}{2l}\left(\dfrac{F}{m}\right)^{1/2} \)
Here, \( p \) is the number of segments in the string and \( l \) is the length. The dimensional formula for \( m \) will be:- BITSAT - 2016
- Physics
- Dimensional Analysis
- For the equation of force \(F = Aa^b d^c\), where \(F\) is the force, \(A\) is the area, \(v\) is the velocity and \(d\) is the density, the values of \(a, b\) and \(c\) are respectively:
- BITSAT - 2014
- Physics
- Dimensional Analysis
View More Questions
Top BITSAT Questions
- Evaluate the integral \( \int \frac{x}{x^2 + 1} dx \):
- BITSAT - 2025
- Methods of Integration
- Evaluate the integral \( \int_0^1 \frac{\ln(1 + x)}{1 + x^2} \, dx \)
- BITSAT - 2025
- integral
- The equation of the line passing through the point $ (2, 3) $ and making equal intercepts on the coordinate axes is:
- BITSAT - 2025
- Coordinate Geometry
- If $ x + \frac{1}{x} = 4 $, find the value of $ x^4 + \frac{1}{x^4} $.
- BITSAT - 2025
- Differential equations
- If the word "BITS" is coded using \( A=1, B=2, \ldots, Z=26 \), and the code is the sum of the squares of each letter's value, what is the code for the word?
- BITSAT - 2025
- Algebra
View More Questions