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The equivalent resistance of the infinite network given below is:
A gas is taken through the cycle $A \rightarrow B \rightarrow C \rightarrow A$, as shown in the figure. What is the total amount of work done by the gas?
The P-V diagram for an ideal gas in a piston-cylinder assembly undergoing a thermodynamic process is shown in the figure. The process is:
At the first minimum adjacent to the central maximum of a single slit diffraction pattern, the phase difference between the Huygen's wavelet from the edge of the slit and the wavelet from the midpoint of the slit is
The sliding contact C is at one fourth of the length of the potentiometer wire (AB) from A as shown in the circuit diagram. If the resistance of the wire AB is R₀, then the potential drop (V) across the resistor R is:
Arrange the following in the order of their resistance: (A) Ammeter of range 0 to 1 A (B) Milli-ammeter of range 0 to 100 mA (C) Micro-ammeter of range 0 to 500 μA (D) Voltmeter of range 0 to 100 V
One mole of an ideal gas from an initial state A undergoes via two processes. It first undergoes isothermal expansion from volume $V$ to $3V$ and then its volume is reduced from $3V$ to $V$ at constant pressure. The correct $P-V$ diagram representing the two processes is -
A surface of side L metre in the plane of the paper is placed in a uniform electric field E (volt/m) acting along the same plane at an angle θ with the horizontal side of the square as shown in figure. The electric flux linked to the surface in unit of V-m, is
From the following pairs of ions which one is not an iso-electronic pair?
Match List-I with List-II. Choose the correct answer from the options given below.
Eight dipoles of charges of magnitude $e$ are placed inside a cube. The total electric flux coming out of the cube will be:
The efficiency of a Carnot engine depends upon:
The two nearest harmonics of a tube closed at one end and open at the other end are $220 \text{ Hz}$ and $260 \text{ Hz}$. What is the fundamental frequency of the system?
A monoatomic gas at pressure $p_1$ and volume $V_1$ is compressed adiabatically to $\frac{1}{8}^{\text{th}}$ its original volume. What is the final pressure of the gas?
Four-point +ve charges of the same magnitude (Q) are placed at four corners of a rigid square frame as shown in the figure. The plane of the frame is perpendicular to Z-axis. If a –ve point charge is placed at a distance z away from the above frame (z<<L) then
An electron having charge e and mass m is moving in a uniform electric field E. Its acceleration will be:
A wave travelling in the positive x-direction having maximum displacement along y-direction as $1 \text{ m}$, wavelength $2\pi \text{ m}$ and frequency of $1/\pi \text{ Hz}$ is represented by
The electric intensity due to an infinite cylinder of radius $R$ and having charge $q$ per unit length at a distance $r$ ($r > R$) from its axis is:
A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced emf is:
From the given functions, identify the function which represents a periodic motion: