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A long solenoid has 800 turns per meter length of solenoid. A current of 1.6 Amp flowsthrough it. The magnetic induction at the end of the solenoid on its axis is
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A circular loop of radius R = 20 cm is placed in a uniform magnetic field B = 2 Tesla in xy - Plane as shown in figure. The loop carries a current I = 1 Amp in the direction shown in fig. Find the magnitude of torque acting on the
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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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Assertion: When a capacitor is charged by a battery, half of the energy supplied by the battery is stored in the capacitor and rest half is lost. Reason: If resistance in the circuit is zero, then there will be no loss of
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Gauss Law in Magnetism We can write Gauss’s law for magnetostatics as `intB.dA=mu_0m`, where, `intB •dA`. is the magnetic flux and m is the net magnetic pole strength inside a closed surface. It was found that, magnetic flux through a closed surface is always zero, thus we reach at a conclusion that magnetic monopoles do not exist. A bar magnet always attain north-south poles no matter how many times it is cut into pieces.The dimensional representation of magnetic flux density
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Faraday’s Laws According to the Faraday’s first law, whenever the amount of magnetic flux linked with a circuit changes, an emf is induced in it. Induced current is determined by the rate at which the magnetic flux changes.Mathematically, the magnitude of the induced emf in a circuit is equal to the rate of change of magnetic flux through the circuit.Induced emf `prop` Rate of change of magnetic fluxOn the basis of Faraday’s law, current in the coil is
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Which of the following statements(s) is/are incorrect with respect to tuning
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Assertion: Capacitor serves as a barrier for DC and offers an easy path to AC. Reason: Capacitive reactance is directly proportional to
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A Cassegrain telescope uses two mirrors as shown in Fig. Such a telescope is built with the mirrors 20mm apart. If the radius of curvature of the large mirror is 220mm and the small mirror is 140mm, where will the final image of an object at infinity
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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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A giant reflecting telescope at an observatory has an objective lens of focal length 15 m. If an eyepiece lens of focal length 1.0 cm is used, find the angular magnification of the telescope.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 `3.42xx10^6` m and the radius of the 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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What is the shape of the wavefront in each of the following cases: Light diverging from a point
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Four identical monochromatic sources A,B,C,D as shown in the (Fig.) produce waves of the same wavelength λ and are coherent. Two receiver R1 and R2 are at great but equal distaces from B. Which of the two receivers picks up the larger signal when D is turned
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Calculate the(a) momentum, (b) de Broglie wavelength of the electrons accelerated through a potential difference of
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Obtain the de Broglie wavelength associated with thermal neutrons at room temperature (27 °C). Hence explain why a fast neutron beam needs to be thermalised with the environment before it can be used for neutron diffraction
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Compute the typical de Broglie wavelength of an electron in a metal at 27 °C and compare it with the mean separation between two electrons in a metal which is given to be about 2 × 10–10 m. [Note: Exercises 35 and 36 reveal that while the wave-packets associated with gaseous molecules under ordinary conditions are non-overlapping, the electron wave-packets in a metal strongly overlap with one another. This suggests that whereas molecules in an ordinary gas can be distinguished apart, electrons in a metal cannot be distintguished apart from one another. This indistinguishibility has many fundamental implications which you
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Two point electric charges of value q and 2q are kept at a distance d apart from each other in air. A third charge Q is to be kept along the same line in such a way that the net force acting on q and 2q is zero. Calculate the position of charge Q in terms of q and
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If the amount of electric flux entering and leaving a closed surface are `phi_1` and `phi_2` respectively. What is the electric charge inside the
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A metallic rod of length `l` rotates at angular velocity `omega` about an axis passing through one end and perpendiuclar to the rod. If mass of electron is m and its charge is –e then the magnitude of potential difference between its two ends
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