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Which one of the following does not have the same dimensions?
A parallel plate condenser has a uniform electric field E (V/m) in the space between the plates. If the distance between the plates is d (m) and area of each plate is A (m²), the energy (joule) stored in the condenser is:
Four electric charges +q, +q, -q and -q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, mid-way between the two charges +q and +q, is
Tesla is a unit for measuring:
Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC equal to 2a. D and E are the mid points of BC and CA. The work done in taking a charge Q from D to E is:
$X = 3YZ^2$, find the dimension of $Y$ in (MKSA) system, if $X$ and $Z$ are the dimensions of capacity and magnetic field respectively.
The mean free path of electrons in a metal is 4 × 10⁻⁸ m. The electric field which can give on an average 2 eV energy to an electron in the metal will be in a unit of V m⁻¹:
Twenty seven drops of same size are charged at 220 V each. They combine to form a bigger drop. Calculate the potential of the bigger drop:
Dimensional formula for torque is:
Which input (A, B) - output (Y) combination correctly represents the given logic circuit?
Two hollow conducting spheres of radii $R_1$ and $R_2$ ($R_1 \gg R_2$) are concentric and have equal charges. The potential would be:
Unit of stress is:
The velocity $v$ (in $\text{cm/sec}$) of a particle is given in terms of time $t$ (in $\text{sec}$) by the relation $v = at + \frac{b}{t+c}$; the dimensions of $a$, $b$ and $c$ are
A wire carrying current $I$ has the shape as shown in the adjoining figure. Linear parts of the wire are very long and parallel to X-axis while the semicircular portion of radius $R$ is lying in the Y-Z plane. The magnetic field at point $O$ is:
Which does not have the same unit as others?
Dimensions of $CR$ are those of:
In the following circuit, the equivalent capacitance between terminal A and terminal B is:
The truth table for the given logic circuit is:
Pick the wrong answer in the context with rainbow.
If the dimension of a physical quantity are given by $M^a L^b T^c$, then the physical quantity will be