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Which pair has the same dimensions?
The dimensional formula of angular velocity is
The dimensional formula for impulse is same as the dimensional formula for
Dimensional formula of heat energy is
Which of the following is not equal to a watt?
If L denotes the inductance of an inductor through which a current i is flowing, the dimensions of Li² are:
If V denotes the potential difference across the plates of a capacitor of capacitance C, the dimensions of CV² are:
SI unit of pressure is
In S = a + bt + ct², S is measured in metres and t in seconds. The unit of c will be:
A cube has a numerically equal volume and surface area. The volume of such a cube is :
If the dimensions of a physical quantity are given by $[M^a L^b T^c]$, then the physical quantity will be:
If C and L denote capacitance and inductance respectively, then the dimensions of LC are:
Unit of power is:
The density of wood is 0.5 g/cc in the CGS system of units. The corresponding value in MKS units is:
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:
Which of the following quantities has the same dimensions as that of energy?
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:
A small steel ball of radius $r$ is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity $\eta$. After some time, the velocity of the ball attains a constant value known as terminal velocity $v_T$. The terminal velocity depends on the mass of the ball $m$, $\eta$, $r$, and acceleration due to gravity $g$. Which of the following relations is dimensionally correct?