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Magnetic field lines can be entirely confined within the core of a toroid, but not within a straight solenoid.
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If magnetic monopoles existed, how would the Gauss’s law of magnetism be
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A short bar magnet placed in a horizontal plane has its axis aligned along the magnetic north-south direction. Null points are found on the axis of the magnet at 14 cm from the centre of the magnet. The earth’s magnetic field at the place is 0.36 G and the angle of dip is zero. What is the total magnetic field on the normal bisector of the magnet at the same distance as the null–point (i.e., 14 cm) from the centre of the magnet? (At null points, field due to a magnet is equal and opposite to the horizontal component of
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Consider a circular current-carrying loop of radius R in the x-y plane with centre at origin. Consider the line intergral ` ℑ (L) = |∫_(-L)^L B dl| ` taken along z-axis. Show that ℑ (L) monotonically increases with
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Five long wires A, B, C, D and E, each carrying current I are arranged to form edges of a pentagonal prism as shown in Fig. Each carries current out of the plane of paper. What will be the field if current in one of the wires
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Electric Dipole An electric dipole is a pair of point charges with equal magnitude and opposite in sign separated by a very small distance. The mid-point of locations of `-q and q` is called the centre of the dipole. The strength of an electric dipole is measured by a vector quantity known as electric dipole moment `(p)` which is the product of the charge `(q)` and separation between the charges `(2l)`.In most molecules, the centres of positive charges and of negative charges lie at the same place, hence their dipole moment is zero. `e.g. CO_2, CH_4`. However, they develop a
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An electric field of 1000 V/m is applied to an electric dipole at angle of 45°. The value of electric dipole moment is `10^(-29) C-m`. What is the potential energy of the electric
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Electrostatic Potential Energy Electrostatic potential energy of a system of point charges is defined as the total amount of work done in bringing the different charges to their respective positions from infinitely large mutual separations.By definition, work done in carrying charge from `oo` to any point is W = Potential `xx` ChargeThis work is stored in the system of two point charges in the form of electrostatic potential energy U of the system.Work done in moving a charge from one point to other inside a uniformly charged conducting sphere
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Electrostatic Potential Energy Electrostatic potential energy of a system of point charges is defined as the total amount of work done in bringing the different charges to their respective positions from infinitely large mutual separations.By definition, work done in carrying charge from `oo` to any point is W = Potential `xx` ChargeThis work is stored in the system of two point charges in the form of electrostatic potential energy U of the system.A positively charged particle is released from rest in an uniform electric field. The electric potential energy of the
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Two particles of masses `m_a & m_b` and same charge are projected in a perpendicular magnetic field. They travel along circular paths of radius `r_a and r_b` such that `r_a > r_b`. Then, which is
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The full scale deflection current of a galvanometer of resistance `1Omega` is `5 mA`. What is the value of resistance R, which is connected in series to convert it into a voltmeter of range `5
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A galvanometer has a resistance of `100 Omega`. A potential difference of `100 mV` between its terminals gives a full scale deflection. The shunt resistance required to convert it into an ammeter reading upto `5A`
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An alternating current of rms value `10 A` is passed through a `12 Omega`. resistor. The maximum potential difference across the resistor
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What is the focal length of a convex lens of focal length 30cm in contact with a concave lens of focal length 20cm? An object 1.5 cm in size is placed on the side of the convex lens in the arrangement above. The distance between the object and
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(i) Draw the ray diagram for the formation of image of an object by a convex mirror and use it (along with the sign convention) to derive the mirror formula. (ii) Use the mirror formula to show that for an object kept between the pole and focus of a concave mirror the image appears to be formed behind the
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(i) A giant refracting telescope has an objective lens of focal length 15 m. If an eyepiece of focal length 1.0 cm is used, what is the angular magnification of the telescope? (ii) If this telescope is used to view the moon, what is the diameter of the image of the moon formed by the objective lens? The diameter of the moon is `3.48xx10^6` m and the radius of lunar orbit is `3 .8xx10^8
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Two convex lenses of focal length 20 cm and 1 cm constitute a telescope. The telescope is focused on a point which is 1 m away from the objective. Calculate the magnification produced and the length of the tube if the final image is formed at a distance 25 cm from the
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When light travels from a rarer to a denser medium, the speed decreases. Does the reduction in speed imply a reduction in the energy carried by the light
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The work function of caesium is 2.14 eV. Find the threshold frequency for
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A 100W sodium lamp radiates energy uniformly in all directions. The lamp is located at the centre of a large sphere that absorbs all the sodium light which is incident on it. The wavelength of the sodium light is 589 nm. What is the energy per photon associated with
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