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Two identical capacitors $C_1$ and $C_2$ of equal capacitance are connected as shown in the circuit. Terminals a and b of the key k are connected to charge capacitor $C_1$ using a battery of emf $V$ volt. Now disconnecting a and b terminals, terminals b and c are connected. Due to this, what will be the percentage loss of energy?
The height at which the weight of a body becomes 1/16th, its weight on the surface of the earth (radius R), is:
Charges $+q$ and $-q$ are placed at points A and B, respectively, which are at a distance $2L$ apart. C is the midpoint between A and B. The work done in moving a charge $+Q$ along the semicircle CRD is:
If the mean free path of atoms is doubled then the pressure of the gas will become:
Four equal charges Q are placed at the four corners of a square of each side is ‘a’. Work done in removing a charge –Q from its centre to infinity is
Out of the following options which one can be used to produce a propagating electromagnetic wave?
An electromagnetic wave is moving along negative $z$ ($-z$) direction and at any instant of time, at a point, its electric field vector is $3\hat j \text{ V/m}$. The corresponding magnetic field at that point and instant will be: (Take $c=3\times10^8 \text{ ms}^{-1}$)
The dimensions of mutual inductance (M) are:
Two thin dielectric slabs of dielectric constants $K_1$ and $K_2$ ($K_1 < K_2$) are inserted between plates of a parallel plate capacitor, as shown in the figure. The variation of electric field $E$ between the plates with distance $d$ as measured from the plate P is correctly shown by:
A small sphere of radius $r$ falls from rest in a viscous liquid. As a result, heat is produced due to the viscous force. The rate of production of heat when the sphere attains its terminal velocity is proportional to:
An EM wave is propagating in a medium with a velocity $\vec{v} = v\hat{i}$. The instantaneous oscillating electric field of this EM wave is along the $+y$ axis. The direction of the oscillating magnetic field of the EM wave will be along:
A parallel plate air capacitor is charged to a potential difference of $V$ volts. After disconnecting the charging battery, the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates:
A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of the resulting system
Match List - I with List - II: **List - I (Electromagnetic waves)** (a) AM radio waves (b) Microwaves (c) Infrared radiation (d) X-rays **List - II (Wavelength)** (i) $10^{-10} \text{ m}$ (ii) $10^{2} \text{ m}$ (iii) $10^{-2} \text{ m}$ (iv) $10^{-4} \text{ m}$
A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere respectively are:
The equivalent capacitance of the arrangement shown in the figure is:
The minimum energy required to launch a satellite of mass $m$ from the surface of the earth of mass $M$ and radius $R$ in a circular orbit at an altitude of $2R$ from the surface of the earth is:
The magnetic field in a plane electromagnetic wave is given by: $B_y = 2 \times 10^{-7} \sin(\pi \times 10^3x + 3\pi \times 10^{11}t) \text{ T}$. The wavelength is:
An electric dipole of moment $\vec{p}$ is lying along a uniform electric field $\vec{E}$. The work done in rotating the dipole by $90^{\circ}$ is:
In a region, the potential is represented by V(x,y,z) = 6x - 8xy - 8y + 6yz, where V is in volts and x, y, z are in meters. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is