If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy
If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy
[F] [A−1] [T]
[F] [A] [T]
[F] [A] [T2]
[F] [A] [T−1]
The Correct Option is C
Solution and Explanation
Top Questions on Units and measurement
- If the length of a rod is measured as 830600 mm, then the number of significant figures in the measurement is
- TS EAMCET - 2025
- Physics
- Units and measurement
- A voltmeter of resistance 1000 \( \Omega \) can measure up to 25 V. How will you convert it so that it can read up to 250 V?
- CBSE CLASS XII - 2025
- Physics
- Units and measurement
- The number of significant figures in the measurement 0.00456 is:
- BITSAT - 2025
- Physics
- Units and measurement
Match the LIST-I with LIST-II
LIST-I LIST-II A. Boltzmann constant I. \( \text{ML}^2\text{T}^{-1} \) B. Coefficient of viscosity II. \( \text{MLT}^{-3}\text{K}^{-1} \) C. Planck's constant III. \( \text{ML}^2\text{T}^{-2}\text{K}^{-1} \) D. Thermal conductivity IV. \( \text{ML}^{-1}\text{T}^{-1} \) Choose the correct answer from the options given below :
- JEE Main - 2025
- Physics
- Units and measurement
- A person measures mass of 3 different particles as 435.42 g, 226.3 g and 0.125 g. According to the rules for arithmetic operations with significant figures, the additions of the masses of 3 particles will be.
- JEE Main - 2025
- Physics
- Units and measurement
Questions Asked in NEET exam
Identify the part of a bio-reactor which is used as a foam breaker from the given figure.
- NEET (UG) - 2025
- Bio Reactors
- An oxygen cylinder of volume 30 litre has 18.20 moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature \(27^\circ\)C. The mass of the oxygen withdrawn from the cylinder is nearly equal to: [Given, \(R = \frac{100}{12} \text{ J mol}^{-1} \text{K}^{-1}\), and molecular mass of \(O_2 = 32 \text{ g/mol}\), 1 atm pressure = \(1.01 \times 10^5 \text{ N/m}^2\)]
- NEET (UG) - 2025
- Ideal-gas equation and absolute temperature
- The plates of a parallel plate capacitor are separated by d. Two slabs of different dielectric constant \(K_1\) and \(K_2\) with thickness \(d/2\) and \(d/2\) respectively are inserted in the capacitor. Due to this, the capacitance becomes two times larger than when there is nothing between the plates. If \(K_1 = 1.25 K_2\), the value of \(K_2\) is :
- NEET (UG) - 2025
- Capacitors and Capacitance
A full wave rectifier circuit with diodes (\(D_1\)) and (\(D_2\)) is shown in the figure. If input supply voltage \(V_{in} = 220 \sin(100 \pi t)\) volt, then at \(t = 15\) msec:
- NEET (UG) - 2025
- Semiconductor Diode
- A microscope has an objective of focal length \(f_o = 2\) cm and an eyepiece of focal length \(f_e = 4\) cm. The tube length of the microscope is \(L = 40\) cm. If the distance of distinct vision of eye is \(D = 25\) cm, the magnification in the microscope is:
- NEET (UG) - 2025
- Optical Instruments
Concepts Used:
Dimensional Analysis
Dimensional Analysis is a process which helps verify any formula by the using the principle of homogeneity. Basically dimensions of each term of a dimensional equation on both sides should be the same.
Limitation of Dimensional Analysis: Dimensional analysis does not check for the correctness of value of constants in an equation.
Using Dimensional Analysis to check the correctness of the equation
Let us understand this with an example:
Suppose we don’t know the correct formula relation between speed, distance and time,
We don’t know whether
(i) Speed = Distance/Time is correct or
(ii) Speed =Time/Distance.
Now, we can use dimensional analysis to check whether this equation is correct or not.
By reducing both sides of the equation in its fundamental units form, we get
(i) [L][T]-¹ = [L] / [T] (Right)
(ii) [L][T]-¹ = [T] / [L] (Wrong)
From the above example it is evident that the dimensional formula establishes the correctness of an equation.