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Draw a ray diagram showing the formation of the image by a point object on the principal axis of a spherical convex surface separating two media of refractive indices `n_1 and n_2`, when a point source is kept in rarer medium of refractive index `n_1`. Derive the relation between object and image distance in terms of refractive index of the medium and radius of curvature of the surface. Hence, obtain the expression for lens maker's formula in the case of thin convex
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Two insulated charged copper spheres A and B have their centres separated by a distance of 50 cm. If the charge on each is 6.5 × 10–7 C? The radii of A and B are negligible compared to the distance of separation. Suppose the spheres A and B in
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An electron enters uniform electric field maintained by parallel plates and of value `E V m ^(-1)` with a velocity `v ms^(-1)`, the plates are separated by a distance d metre, then acceleration of the electron in the field is , . Ee x -
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A simple pendulum consists of a small sphere of mass m suspended by a thread of length `l`. The sphere carries a positive charge q. The pendulum is placed in a uniform electric field of strength E directed Vertically upwards. If the electrostatic force acting on the sphere is less than gravitational force the period of pendulum
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An AC voltage is applied to a resistance R and an inductor L in series. If R and the inductive reactance are both equal to `3Omega`, the phase difference (in rad) between the applied voltage and the current in the circuit is
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How can you charge a metal sphere positively without touching
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What will be the total flux through the faces of the cube (Fig. ) with side of length a if a charge q is placed at (I) A: a corner of the cube.(II) B: mid-point of an edge of the
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A metal road moves at a constant velocity in a direction perpendicular to its length & a constant uniform magnetic field too. Select the correct statement (s) from the
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Charge on a body is `q_1` and it is used to charge another body by induction. Charge on second body is found to be `q_2` after charging,
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Induced CurrentThe steady current in the coil `C_2` as shown below produces a steady magnetic field. As coil `C_2` is moved towards the coil `C_1`, the galvanometer shows a deflection. This indicates that electric current is induced in coil `C_1`. When `C_2` is moved away, the galvanometer shows a deflection again, but this time in the opposite direction. This deflection is based upon the Faraday’s law of electromagnetic induction.What will be the direction of deflection of galvanometer, when `C_2` is moved
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Assertion: Due to two point charges, electrical field and electric potential cannot be zero at same point simultaneously. Reason: Field is a vector quantity and potential a scalar
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The self-inductance of a coil is L. Keeping the length and area same, the number of turns in the coil is increased to four times. The self-inductance of the coil will be
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At what depth in an ocean will a tube of air have one – fourth volume it will have on reaching the surface? Given Atmospheric Pressure = 76 cm of Hg and density of Hg =
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Mar 19, 2022
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chapter10
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In Fig., two positive charges q2 and q3 fixed along the y axis, exert a net electric force in the + x direction on a charge q1 fixed along the x axis. If a positive charge Q is added at (x, 0), the force on
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The following table gives the values of work functions for a few sensitive metals. S. No. Metal Work function(eV) 1 Na 1.92 2 K 2.15 3 Mo 4.17 If each of these metals is exposed to radiations of wavelength 3300nm, which of these will not exit photoelectrons and
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A current `I` flows through a long straight conductor which is bent into a circular loop of radius R in the middle as shown in the figure.The magnitude of the net magnetic field at point `O` will
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chapter4
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(i) A conductor A with a cavity as shown in Fig. is given a charge Q. Show that the entire charge must appear on the outer surface of the conductor.(ii) Another conductor B with charge q is inserted into the cavity keeping B insulated from A. Show that the total charge on the outside surface of A is Q + q [Fig.(b)].(iii) A sensitive instrument is to be shielded from the strong electrostatic fields in its environment. Suggest a possible
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Consider a metal ring kept on top of a fixed solenoid (say on a carboard) (Fig ). The centre of the ring coincides with the axis of the solenoid. If the current is suddenly switched on, the metal ring jumps up.
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A rectangular conductor `SPQR` is placed in a uniform magnetic field perpendicular to the plane and extending from `x=0` to `x=b` as shown below. The arm `PQ` of length `l` is moving from `x=0` to `x=2b` with constant speed `v`. Find the flux and emf induced in the
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chapter6
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An uniform electric field E exists along positive x-axis. The work done in moving a charge 0.5 C through a distance 2 m along a direction making an angle 60° with x-axis is 10 J. Then the magnitude of electric field
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