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The electric field at the surface of a black box indicates that the net outward flux through the surface of the box is $8.0 \times 10^3$ Nm$^2$/C. What is the net charge inside the box?
Urea reacts with water to form A which will decompose to form B. B when passed through $Cu^{2+}(aq)$, deep blue colour solution C is formed. What is the formula of C from the following?
To produce an instantaneous displacement current of $2 \text{ mA}$ in the space between the parallel plates of a capacitor of capacitance $4 \text{ }\mu\text{F}$, the rate of change of applied variable potential difference $\left(\frac{dV}{dt}\right)$ must be:
A parallel-plate capacitor of area A, plate separation d, and capacitance C is filled with four dielectric materials having dielectric constants k₁, k₂, k₃ and k₄ as shown in the figure below. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by:
One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure. The change in internal energy of the gas during the transition is:
A system has two charges, q_A = 2.5 × 10⁻⁷ C and q_B = -2.5 × 10⁻⁷ C, located at points A: (0, 0, -15 cm) and B: (0, 0, +15 cm) respectively. The electric dipole moment of the system is:
Which colour of the light has the longest wavelength?
A parallel plate air capacitor has capacitance $C$, the distance of separation between plates is $d$ and potential difference $V$ is applied between the plates. The force of attraction between the plates of the parallel plate air capacitor is:
The magnetic field of a plane electromagnetic wave is given by, $\vec B=3\times10^{-8}\cos(1.6\times10^3x+48\times10^{10}t)\hat j \text{ T}$. The associated electric field will be:
The equivalent capacitance of the combination shown in the figure is:
A point charge causes an electric flux of $-1.0 \times 10^3$ Nm$^2$/C to pass through a spherical Gaussian surface of 10.0 cm radius centered on the charge. If the radius of the Gaussian surface were doubled, how much flux would pass through the surface?
For a plane electromagnetic wave propagating in the $x$-direction, which one of the following combinations gives the correct possible directions for the electric field ($\mathbf{E}$) and magnetic field ($\mathbf{B}$) respectively?
The figure below shows tracks of three charged particles in a uniform electrostatic field. Which particle has the highest charge to the mass ratio?
Four point charges $q_A = 2 \mu\text{C}$, $q_B = -5 \mu\text{C}$, $q_C = 2 \mu\text{C}$, and $q_D = -5 \mu\text{C}$ are located at the corners of a square ABCD of side 10 cm. The force on a charge of $1 \mu\text{C}$ placed at the centre of the square is:
The electric potential at a point $(x, y, z)$ is given by $V = -x^2y - xz^3 + 4$. The electric field $\vec{E}$ at that point is:
A point charge of $2.0 \, \mu\text{C}$ is at the center of a cubic Gaussian surface $9.0 \, \text{cm}$ on edge. What is the net electric flux through the surface?
The electric field associated with an electromagnetic wave in vacuum is given by $E = 40 \cos(kz - 6 \times 10^8 t)$, where $E$, $z$, and $t$ are in volt/m, meter, and second respectively. The value of the wave vector $k$ would be:
When light propagates through a material medium of relative permittivity, $\varepsilon_r$ and relative permeability, $\mu_r$, the velocity of light, $v$ is given by: ($c$ = velocity of light in vacuum)
Which of the following statements is false for the properties of electromagnetic waves?
The hydrogen ion concentration of a $10^{-8}\text{ M}$ HCl aqueous solution at 298 K ($K_w = 10^{-14}$) is: