Browse and search thousands of solved questions for your preparation.
Free questions with full explanations — locked behind signup to protect quality.
Time intervals measured by a clock give the following readings: $1.25 \text{ s}, 1.24 \text{ s}, 1.27 \text{ s}, 1.21 \text{ s}, 1.28 \text{ s}$. What is the percentage relative error of the observations?
Dimensions of stress are:
The number of particles crossing a unit area perpendicular to the $x$-axis in unit time is given by $n = -D\frac{n_2 - n_1}{x_2 - x_1}$, where $n_1$ and $n_2$ are the number of particles per unit volume for the value of $x$ equal to $x_1$ and $x_2$ respectively. The dimensions of $D$, known as the diffusion constant, will be:
In which of the following systems of units is the Weber the unit of magnetic flux?
The unit of specific resistance is:
Two similar thin equi-convex lenses, of focal length $f$ each, are kept coaxially in contact with each other such that the focal length of the combination is $F_1$. When the space between the two lenses is filled with glycerine (which has the same refractive index ($\mu = 1.5$) as that of glass) then the equivalent focal length is $F_2$. The ratio $F_1 : F_2$ will be :
Inductance $L$ can be dimensionally represented as:
Dimensions of coefficient of viscosity are
The dimensions of Planck's constant and angular momentum are respectively:
Hertz is the unit of
$ML^{-1}T^{-2}$ represents
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
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:
Which of the following pair does not have similar dimensions?