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. A series LCR circuit containing \(5.0 \mathrm{H}\) inductor, \(80 \mu \mathrm{F}\) capacitor and \(40 \Omega\) resistor is connected to \(230 \mathrm{~V}\) variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:
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Dec 31, 2021
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\(A\) particle moving in a circle of radius \(R\) with a uniform speed takes a time \(T\) to complete one revolution. If this particle were projected with the same speed at an angle ' \(\theta\) ' to the horizontal, the maximum height attained by it equals \(4 R\). The angle of projection, \(\theta\), is then given by :
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Dec 31, 2021
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In the product $$ \begin{aligned} &\vec{F}=q(\vec{v} \times \vec{B}) \\ &=q \vec{v} \times\left(B \hat{i}+B \hat{j}+B_{0} \hat{k}\right) \end{aligned} $$ For \(q=1\) and \(\vec{v}=2 \hat{i}+4 \hat{j}+6 \hat{k}\) and \(\vec{F}=4 \hat{i}-20 \hat{j}+12 \hat{k}\) What will be the complete expression for \(\vec{B}\) ?
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Dec 31, 2021
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. A uniform conducting wire of length \(12 a\) and resistance \({ }^{\prime} R^{\prime}\) is wound up as a current carrying coil in the shape of, (i) an equilateral triangle of side ' \(a^{\prime}\). (ii) a square of side \(^{\prime} a^{\prime} .\) The magnetic dipole moments of the coil in each case respectively are:
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Dec 31, 2021
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. A step down transformer connected to an ac mains supply of \(220 \mathrm{~V}\) is made to operate at \(11 \mathrm{~V}, 44 \mathrm{~W}\) lamp. Ignoring power losses in the transformer, what is the current in the primary circuit?
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Dec 31, 2021
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deepak01
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The number of photons per second on an average emitted by the source of monochromatic light of wavelength \(600 \mathrm{~nm}\), when it delivers the power of \(3.3 \times 10^{-3}\) watt will be : \(\left(h=6.6 \times 10^{-34} \mathrm{Js}\right)\)
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Dec 31, 2021
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The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is \(0.25 \Omega\). What will be the effective resistance if they are connected in series?
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Dec 31, 2021
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. A cup of coffee cools from \(90^{\circ} \mathrm{C}\) to \(80^{\circ} \mathrm{C}\) in t minutes, when the room temperature is \(20^{\circ} \mathrm{C}\). The time taken by a similar cup of coffee to cool from \(80^{\circ} \mathrm{C}\) to \(60^{\circ} \mathrm{C}\) at a room temperature same at \(20^{\circ} \mathrm{C}\) is:
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Dec 31, 2021
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If force \([F]\), acceleration \([A]\) and time \([T]\) are chosen as the fundamental physical quantities. Find the dimensions of energy.
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Dec 31, 2021
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An electromagnetic wave of wavelength ' \(\lambda\) ' is incident on a photosensitive surface of negligible work function. If ' \(m\) ' mass is of photoelectron emitted from the surface has de-Broglie wavelength \(\lambda_{d}\), then:
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Dec 31, 2021
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A parallel plate capacitor has a uniform electric field ' \(\vec{E}\) ' in the space between the plates. If the distance between the plates is ' \(d^{\prime}\) and the area of each plate is ' \(A\) ', the energy stored in the capacitor is: \(\left(\varepsilon_{0}=\right.\) permittivity of free space)
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Dec 31, 2021
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Kinematics
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. A screw gauge gives the following readings when used to measure the diameter of a wire Main scale reading : \(0 \mathrm{~mm}\) Circular scale reading : 52 divisions Given that \(1 \mathrm{~mm}\) on main scale corresponds to 100 divisions on the circular scale. The diameter of the wire from the above data is:
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Dec 31, 2021
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Kinematics
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. Consider the following statements (A) and (B) and identify the correct answer. (A) A zener diode is connected in reverse bias, when used as a voltage regulator. (B) The potential barrier of p-n junction lies between \(0.1 V\) to \(0.3 V\).
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Dec 31, 2021
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Kinematics
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. A spring is stretched by \(5 \mathrm{~cm}\) by a force \(10 \mathrm{~N}\). The time period of the oscillations when a mass of \(2 \mathrm{~kg}\) is suspended by it is :
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Dec 31, 2021
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If \(E\) and \(G\) respectively denote energy and gravitational constant, then \(\frac{E}{G}\) has the dimensions of:
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Dec 31, 2021
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Two charged spherical conductors of radius \(R_{1}\) and \(R_{2}\) are connected by a wire. Then the ratio of surface charge densities of the spheres \(\left(\sigma_{1} / \sigma_{2}\right)\) is
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Dec 31, 2021
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Kinematics
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. A nucleus with mass number 240 breaks into two a fragments each of mass number 120 , the binding energy per nucleon of unfragmented nuclei is \(7.6 \mathrm{MeV}\) while that of fragments is \(8.5 \mathrm{MeV}\). The total gain in the Binding Energy in the process is :
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Dec 31, 2021
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The electron concentration in an \(n\)-type semiconductor is the same as hole concentration in a \(p\)-type semiconductor. An external field (electric) is applied across each of them. Compare the currents in them.
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Dec 31, 2021
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A lens of large focal length and large aperture is best suited as an objective of an astronomical telescope since:
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Dec 31, 2021
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Kinematics
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Water falls from a height of \(60 \mathrm{~m}\) at the rate of \(15 \mathrm{~kg} / \mathrm{s}\) to operate a turbine. The losses due to frictional force are \(10 \%\) of the input energy. How much power is generated by the turbine? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)
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Dec 31, 2021
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kritika
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