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Average velocity of a particle executing SHM in one complete vibration is :
Young's modulus of a material has the same units as:
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
Match List-I with List-II: **List-I (Quantum number)** (a) $n = 2, l = 1$ (b) $n = 3, l = 2$ (c) $n = 3, l = 0$ (d) $n = 2, l = 0$ **List-II (Orbital)** (i) 2s (ii) 3s (iii) 2p (iv) 3d Choose the correct answer from the options given below:
Torr' is the unit of:
Be²⁺ is isoelectronic with which of the following ions?
$E$, $m$, $l$ 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:
Which of the following pair does not have similar dimensions?
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
A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is : ($\alpha_{Cu} = 1.7 \times 10^{-5}$ K$^{-1}$ and $\alpha_{Al} = 2.2 \times 10^{-5}$ K$^{-1}$)
From dimensional considerations, which of the following equations is correct?
Whose dimensions are $ML^2T^{-1}$?
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]
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
A 1 M solution of a compound 'X' has a density of 1.25 g/mL. If the molar mass of compound X is 85 g, what is the molality (m) of the solution?