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Charge between Parallel Plates Surface charge density is defined as the charge per unit surface area of surface charge distribution, `i.e. sigma = (dq)/(dS)`Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs having magnitude of `17.0 xx 10^(-22) Cm^(-2)` as shown belowThe intensity of electric field at a point is `E=(sigma)/(epsilon_0)`where, `epsilon_0` = permittivity of free space`E` in the outer region of the first plate
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The potential of an electric dipole varies with distance `r`
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Match the Column I (energy of capacitor) with Column II (value) and select the correct answer from the codes given below. A capacitor `C_1` of capacitance C is charged to a potential difference `V_0`. The terminals of the charged capacitor are then connected to an uncharged capacitor `C_2` of capacitance C/2. Column I Column II A. Final energy of capacitor `C_1` p.`-(1'/'6) CV_0^2` B. Final energy of capacitor `C_2` q.`(1'/'6) CV_0^2` C. Final energy of the system r. `(1'/'3) CV_0^2` D. Change in energy on joining the
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Drift velocity `v_d` varies with the intensity of electric field as per the
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A metal wire is subjected to a constant potential difference. When the temperature of the metal wire increases, then the drift velocity of the electron in
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If an ammeter in the given circuit shown in the diagram reads `2A`, the resistance `R`
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Electron Moving in Magnetic Field An electron with a speed `v_0 ( < < c)` moves in a circle of radius `r_0`, in a uniform magnetic field. This electron is able to travel in a circular path as magnetic field is perpendicular to the velocity of the electron. The time required for one revolution of the electron is `T_0`. The speed of the electron is now, doubled to `2v_0`.If this electron of charge (e) is moving parallel to uniform magnetic field with constant velocity `v`. The force acting on the electron
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A compound microscope consists of an objective lens of focal length 2.0cm and an eyepiece of focal length 6.25cm separated by a distance of 15cm. How far from the objective should an object be placed in order to obtain the final image at at infinity? What is the magnifying
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One day Chetan's mother developed a severe stomach ache all of a sudden. She was rushed to the doctor who suggested for an immediate endoscopy test and gave an estimate of expenditure for the same. Chetan immediately contacted his class teacher and shared the information with her. The class teacher arranged for the money and rushed to the hospital. On realising that Chetan belonged to a below average income group family, even the doctor offered concession for the test fee. The test was conducted successfully. Answer the following questions based on the above information. (i) Which principle in optics is
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Is photoelectric emission possible at all frequencies? Give reason for your
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In Millikan’s oil drop experiment an oil drop carrying a charge Q is held stationary by a p.d. 2400 v between the plates. To keep a drop of half the radius stationary the potential difference had to be made 600 v. What is the charge on the second drop
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Three charges `Q, + q and + q` are placed at the verticles of a right-angled triangle as shown. The net electrostatic energy of the configuration is zero if Q is equal to
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(i) Consider an arbitrary electrostatic field configuration. A small test charge is placed at a null point (i.e., where E = 0) of the configuration. Show that the equilibrium of the test charge is necessarily unstable.(ii) Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance
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ODBAC is a fixed rectangular conductor of negilible resistance (CO is not connnected) and OP is a conductor which rotates clockwise with an angular velocity ω (Fig ). The entire system is in a uniform magnetic field B whose direction is along the normal to the surface of the rectangular conductor ABDC. The conductor OP is in electric contact with ABDC. The rotating conductor has a resistance of λ per unit length. Find the current in the rotating conductor, as it rotates by
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A circular loop of radius R carrying current I lies in X-Y plane with its centre at origin. The total magnetic flux through x-y plane
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What is the inductive reactance of a coil if the current through it is 20 mA and voltage across it is 100
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If the magnetic field is parallel to the positive y-axis and the charged particle is moving along the positive x-axis (Fig. ), which way would the Lorentz force be for an electron (negative
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A cyclotron’s oscillator frequency is 10 MHz. What should be the operating magnetic field for accelerating protons? If the radius of its ‘dees’ is 60 cm, what is the kinetic energy (in MeV) of the proton beam produced by the accelerator. (e =1.60 × 10–19 C, mp = 1.67 × 10–27 kg, 1 MeV = 1.6 × 10–13
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A compass needle free to turn in a horizontal plane is placed at the centre of circular coil of 30 turns and radius 12 cm. The coil is in a vertical plane making an angle of 45° with the magnetic meridian. When the current in the coil is 0.35 A, the needle points west to east.(i) Determine the horizontal component of the earth’s magnetic field at the location.(ii) The current in the coil is reversed, and the coil is rotated about its vertical axis by an angle of 90° in the anticlockwise sense looking from above. Predict the direction of
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A long straight wire carrying current of 25A rests on a table as shown in Fig. Another wire PQ of length 1m, mass 2.5 g carries the same current but in the opposite direction. The wire PQ is free to slide up and down. To what height will PQ rise?
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