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Hertz is the unit of
$ML^{-1}T^{-2}$ represents
Average velocity of a particle executing SHM in one complete vibration is :
Which physical quantities have the same dimensions?
The units of modulus of rigidity are:
One yard in SI units is equal to:
The dimensional formula for Young's modulus is
Torr' is the unit of:
$E$, $m$, $l$ and $G$ denote energy, mass, angular momentum and gravitational constant respectively. The dimensions of $\frac{El^2}{m^5G^2}$ are the same as that of:
The position of a particle at time $t$ is given by the relation $l = \frac{v_0}{\alpha}(1 - e^{\alpha t})$, where $v_0$ is a constant and $\alpha > 0$. The dimensions of $v_0$ and $\alpha$ are respectively
From dimensional considerations, which of the following equations is correct?
Which of the following system of units is not based on units of mass, length and time alone?
Current sensitivity of a moving coil galvanometer is $5 \text{ div/mA}$ and its voltage sensitivity (angular deflection per unit voltage applied) is $20 \text{ div/V}$. The resistance of the galvanometer is
When electromagnetic radiation of wavelength $300 \text{ nm}$ falls on the surface of a metal, electrons are emitted with the kinetic energy of $1.68 \times 10^5 \text{ J mol}^{-1}$. The minimum energy needed to remove one mole of electron from the metal is: (Given: $h = 6.626 \times 10^{-34} \text{ J s}$, $c = 3 \times 10^8 \text{ m s}^{-1}$, $N_A = 6.022 \times 10^{23} \text{ mol}^{-1}$)
A physical quantity of the dimensions of length that can be formed out of $c$, $G$ and $\frac{e^2}{4\pi\varepsilon_0}$ is [$c$ is the velocity of light, $G$ is the universal constant of gravitation and $e$ is charge]
If dimensions of critical velocity $v_c$ of a liquid flowing through a tube are expressed as $[\eta^x \rho^y r^z]$, where $\eta$, $\rho$ and $r$ are the coefficient of viscosity of the liquid, the density of liquid and radius of the tube respectively, then the values of $x$, $y$ and $z$ are given by
Dimensional formula $ML^2T^{-3}$ represents
The dimension of $\frac{1}{2}\varepsilon_0 E^2$, where $\varepsilon_0$ is permittivity of free space and $E$ is electric field, is
If force $[F]$, acceleration $[A]$ and time $[T]$ are chosen as the fundamental physical quantities, then find the dimensions of energy:
A force defined by $F = \alpha t^2 + \beta t$ acts on a particle at a given time $t$. The factor which is dimensionless, if $\alpha$ and $\beta$ are constants, is: