Physics · 2021
JEE Main · 31 August 2021, Shift 1 · Q13
Which of the following equations is dimensionally incorrect? Where t = time, h = height, s = surface tension, θ= angle, ρ= density, a, r = radius, g…
Which of the following equations is dimensionally incorrect ?
Where $\displaystyle \mathrm{t}=$ time, $\displaystyle \mathrm{h}=$ height, $\displaystyle \mathrm{s}=$ surface tension, $\displaystyle \theta=$ angle, $\displaystyle \rho=$ density, $\displaystyle \mathrm{a}, \mathrm{r}=$ radius , $\displaystyle \mathrm{g}=$ acceleration due to gravity, $\displaystyle \mathrm{v}=$ volume, $\displaystyle \mathrm{p}=$ pressure, $\displaystyle \mathrm{W}=$ work done, $\displaystyle \Gamma=$ torque, $\displaystyle \epsilon=$ permittivity, $\displaystyle \mathrm{E}=$ electric field, $\displaystyle \mathrm{J}=$ current density, $\displaystyle \mathrm{L}=$ length.
Official answer
(2)
$\displaystyle \mathrm{v}=\frac{\pi \mathrm{pa}^4}{8 \eta \mathrm{~L}}$
More from Units and Dimensions
- The de-Broglie wavelength associated with a particle of mass m and energy E is h / √(2 m E). The dimensional formula for Planck's constant is:2024
- If E and H represents the intensity of electric field and magnetising field respectively, then the unit of E/H will be:2021
- If B is magnetic field and μ_0 is permeability of free space, then the dimensions of (B / μ_0) is2025
- L, C and R represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula M L^2 T^-4 A^-2 corresponds to…2026
- If current ( I ), kinetic energy ( K ) and charge ( Q ) are taken as the fundamental quantities, The dimensional representation of power will be:2022
- If the velocity of light c, universal gravitational constant G and Planck's constant h are chosen as fundamental quantities. The dimensions of mass…2023
- A quantity f is given by f=√((hc^5)/G) where c is speed of light, G universal gravitational constant and h is the Planck's constant. Dimension of f…2020
- A quantity x is given by ( IF v^2 / WL^4 )in terms of moment of inertia I, force F, velocity v, work W and Length L. The dimensional formula for x is…2020
JEE Main 2021 Physics question, with the answer from NTA’s final answer key. Where our answers come from.