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Q. Which of the following relation is correct? (i) \(\frac{x}{m}=\) constant (at high pressure) (ii) \(\frac{x}{m}=\) constant \(\times p^{1 / n}\) (at intermediate pressure) (iii) \(\frac{x}{m}=\) constant \(\times p^{n}\) (at lower pressure)
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Q. Genetic engineering is possible, because
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Dec 31, 2021
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Kinematics
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Two conducting circular loops of radii \(R_{1}\) and \(R_{2}\) are placed in the same plane with their centres coinciding. If \(R_{1}>>R_{2}\), the mutual inductance \(M\) between them will be directly proportional to:
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Dec 31, 2021
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. A ball of mass \(0.15 \mathrm{~kg}\) is dropped from \(a\) height \(10 \mathrm{~m}\), strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\) nearly :
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Dec 31, 2021
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A particle of mass ' \(m^{\prime}\) is projected with a velocity \(v=k V_{e}(k<1)\) from the surface of the earth. \(\left(V_{e}=\right.\) escape velocity \()\) The maximum height above the surface reached by the particle is:
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Dec 31, 2021
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Twenty seven drops of same size are charged at \(220 \mathrm{~V}\) each. They combine to form a bigger drop. Calculate the potential of the bigger drop.
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Dec 31, 2021
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From a circular ring of mass \(^{\prime} M^{\prime}\) and radius \(^{\prime} R^{\prime}\) an arc corresponding to a \(90^{\circ}\) sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is ' \(K^{\prime}\) times ' \(M R^{2}\). Then the value of \(^{\prime} K^{\prime}\) is :
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Dec 31, 2021
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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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Kinematics
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deepak01
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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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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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. 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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. 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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deepak01
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