Question Bank Directory

In an experiment, the percentage errors that occurred in the measurement of physical quantities $A$, $B$, $C$, and $D$ are $1\%$, $2\%$, $3\%$, and $4\%$ respectively. Then, the maximum percentage of error in the measurement of $X$, where $X = \frac{A^2 B^{1/2}}{C^{1/3} D^3}$, will be:

The unit of self inductance of a coil is

Volt/metre is the unit of

The velocity of a particle depends upon time as $v = a + bt + ct^2$; if the velocity is in m/sec, the unit of $a$ will be:

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?

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:

The unit of specific resistance is:

Inductance $L$ can be dimensionally represented as:

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 :

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?