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If `E=20 sin (100pit)` volt then calculate value of E at `t=1/600
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An element ∆ =` ∆x hat i` is placed at the origin and carries a large current I = 10 A (Fig.). What is the magnetic field on the y-axis at a distance of 0.5 m. ∆x = 1
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Assertion: A point charge is brought in an electric field, then electric field at a nearby point may increase or decrease. Reason: The electric field is dependent on the nature of
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Suppose a system of two charges as shown below placed in an external electric field`E =A(1/r^2)`, where `A=9 xx 10^5 C'/'m^2`What would be the electrostatic energy of the
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State the conditions under which total internal reflection occurs. One face of a prism with a refracting angle of 30° is coated with silver. A rayincident on another face at an angle of 45° is refracted and reflected from the silver coated face and retraces its path. Find the refractive index of the material of the
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Monochromatic light of wavelength 589 nm is incident from air on a water surface. What are the wavelength, frequency and speed of refracted light? Refractive index of water is
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Consider a point at the focal point of a convergent lens. Another convergent lens of short focal length is placed on the other side. What is the nature of the wavefronts emerging from the final
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The optical properties of a medium are governed by the relative permitivity (`ε_r`) and relative permeability (`μ_r` ). The refractive index is defined as `sqrt(μ_rε_r) = n` .For ordinary material `ε_r` > 0 and `μ_r` > 0 and the positive sign is taken for the square root. In 1964, a Russian scientist V. Veselago postulated the existence of material with `ε_r` < 0 and `μ_r` < 0. Since then such ‘metamaterials’ have been produced in the laboratories and their optical properties studied. For such materials `n = -sqrt(μ εr r)` . As light enters a medium of such refractive
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The energy flux of sunlight reaching the surface of the earth is 1.388 × 103 W/m2 . How many photons (nearly) per square metre are incident on the Earth per second? Assume that the photons in the sunlight have an average wavelength of 550
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True or false. Write reasons
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Total charge –Q is uniformly spread along length of a ring of radius R. A small test charge +q of mass m is kept at the centre of the ring and is given a gentle push along the axis of the ring. (i) Show that the particle executes a simple harmonic oscillation.(ii) Obtain its time
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Two similar circular loops carry equal currents in the same direction.On moving the coils further apart, the electric current
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The figure shows a rod of length `l` with points A and B on it. The rod is moved in a uniform magnetic field `(B_0)` in different ways as shown. In which case potential difference `(V_A–V_B)` between `A & B` is
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The given figure shows tracks of three charged particles in a uniform electrostatic field. Which particle has the highest charge to mass
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The electric potential difference between two parallel plates is `2000 V`. If the plates are separated by `2 mm`, then what is the magnitude of electrostatic force on a charge of `4 xx 10^(-6)C` located mid-way between the
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Graph showing the variation of current versus voltage for a material GaAs is shown in the figure .Identify the region, where Ohm’s law is obeyed.
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The North-pole of a long horizontal bar magnet is being brought closer to a vertical conducting plane along the perpendicular direction. The direction of induced current in the conducting plane will
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Obtain the de Broglie wavelength of a neutron of kinetic energy 150 eV. As you have seen in Exercise .31, an electron beam of this energy is suitable for crystal diffraction experiments. Would a neutron beam of the same energy be equally suitable? Explain. (mn = 1.675 × 10–27
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An electron has kinetic energy equal to 100eV. Calculate (1) momentum (2) speed (3) Debroglie wavelength of the
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Show mathematically that the potential at a point on the equatorial line of an electric dipole is
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