Its dimensional formula is [M L2 T−2], which is the same as that of work (Work = Force × Displacement).
Hence, kinetic energy and work have identical dimensions.
Advertisements
Advertisements
प्रश्न
Dimensions of kinetic energy are the same as that of ______.
पर्याय
Force
Acceleration
Work
Pressure
MCQ
रिकाम्या जागा भरा
उत्तर
Dimensions of kinetic energy are the same as that of work.
Explanation:
Kinetic energy is given by the formula:
K.E. = `1/2`mv2
shaalaa.com
Dimensions and Dimensional Analysis
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Units and Measurements - Exercises [पृष्ठ १४]
APPEARS IN
संबंधित प्रश्न
[L1M1T-2] is the dimensional formula for ______.
The dimensional formula of Planck's constant h is ______
The velocity of a particle v at an instant t is given by v = at + bt2. The dimensions of b are ______
The dimensional formula for gravitational constant G is ______
If the force is proportional to the square of velocity, then the dimension of the proportionality constant is ______
The dimension of `(mu_0ε_0)^{1/2}` is ______
A length-scale (l) depends on the permittivity (ε) of a dielectric material, Boltzmann constant (kB), the absolute temperature (T), the number per unit volume (n) of certain charged particles, and the charge (q) carried by each of the particles. Which of the following expression for l is dimensionally correct?.
What are the limitations of dimensional analysis?
Write a short note on the following.
Dimensionless quantities
Assuming that the frequency γ of a vibrating string may depend upon i) applied force (F) ii) length (l) iii) mass per unit length (m), prove that ϒ ∝ `1/lsqrt(F/m)` using dimensional analysis.
