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Consider a conducting wire of length \(L\) bent in the form of a circle of radius \(R\) and another conductor of length 'a' (a \(<<\mathrm{R})\) is bent in the form of a square. The two loops are then placed in same plane such that the square loop is exactly at the centre of the circular loop. What will be the mutual inductance between the two loops?

asked Dec 11, 2021 in Kinematics by kritika (90.1k points)

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A galvanometer can be converted to a voltmeter of full-scale deflection \(V_{0}\) by connecting a series resistance \(R_{1}\) and can be converted to an ammeter of full-scale deflection \(I_{0}\) by connecting a shunt resistance \(R_{2}\). What is the current flowing through the galvanometer at its full-scale deflection ?

asked Dec 11, 2021 in Kinematics by kritika (90.1k points)

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A very long charged solid cylinder of radius 'a' contains a uniform charge density \(\rho\). Dielectric constant of the material of the cylinder is \(\mathrm{k}\). What will be the magnitude of electric field at a radial distance ' \(\mathrm{x}\) ' \((\mathrm{x}<\mathrm{a})\) from the axis of the cylinder?

asked Dec 11, 2021 in Kinematics by kritika (90.1k points)

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Four identical point masses, each of mass \(m\) and carrying charge \(+q\) are placed at the corners of a square of sides 'a' on a frictionless plain surface. If the particles are released simultaneously, the kinetic energy of the system when they are infinitely far apart is

asked Dec 11, 2021 in Kinematics by kritika (90.1k points)

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The bob of a swinging seconds pendulum (one whose time period is \(2 \mathrm{~s}\) ) has a small speed \(\mathrm{v}_{0}\) at its lowest point. Its height from this lowest point \(2.25 \mathrm{~s}\) after passing through it is given by

asked Dec 11, 2021 in Kinematics by kritika (90.1k points)

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A tennis ball hits the floor with a speed \(v\) at an angle \(\theta\) with the normal to the floor. If the collision is inelastic and the co-efficient of restitution is \(\varepsilon\), what will be the angle of reflection ?

asked Dec 11, 2021 in Kinematics by kritika (90.1k points)

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A block of mass \(m\) rests on a horizontal table with a co-efficient of static friction \(\mu\). What minimum force must be applied on the block to drag it on the table ?

asked Dec 11, 2021 in Laws of motion by kritika (90.1k points)

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A fighter plane, flying horizontally with a speed \(360 \mathrm{kmph}\) at an altitude of \(500 \mathrm{~m}\) drops a bomb for a target straight ahead of it on the ground. The bomb .should be dropped at what approximate distance ahead of the target ? Assume that acceleration due to gravity \((\mathrm{g})\) is \(10 \mathrm{~ms}^{-2}\). Also neglect air drag

asked Dec 11, 2021 in Kinematics by kritika (90.1k points)

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Consider the vectors \(\vec{A}=\hat{i}+\hat{j}-\hat{k}, \vec{B}=2 \hat{i}-\hat{j}+\hat{k}, \vec{C}=\frac{1}{\sqrt{5}}(\hat{i}-2 \hat{j}+2 \hat{k})\). What is the value of \(\vec{C} \cdot(\vec{A} \times \vec{B}) ?\)

asked Dec 11, 2021 in Physics and measurements by kritika (90.1k points)

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The frequency \(v\) of the radiation emitted by an atom when an electron jumps from one orbit to another is given by \(v\) \(=\mathrm{k} \delta \mathrm{E}\), where \(\mathrm{k}\) is a constant and \(\delta \mathrm{E}\) is the change in energy level due to the transition. Then dimension of \(\mathrm{k}\) is

asked Dec 11, 2021 in Physics and measurements by kritika (90.1k points)

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A common emitter transistor amplifier is connected with a load resistance of \(6 \mathrm{k} \Omega\). When a small a.c. signal of 15 \(\mathrm{mV}\) is added to the base emitter voltage, the alternating base current is \(20 \mu \mathrm{A}\) and the alternating collector current is \(1.8 \mathrm{~mA}\). What is the voltage gain of the amplifier ?

asked Dec 11, 2021 in Kinematics by kritika (90.1k points)

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For nuclei with mass number close to 119 and 238 , the binding energies per nucleon are approximately \(7.6 \mathrm{MeV}\) and \(8.6 \mathrm{MeV}\) respectively. If a nucleus of mass number 238 breaks into two nuclei of nearly equal masses, what will be the approximate amount of energy released in the process of fission?

asked Dec 11, 2021 in Kinematics by kritika (90.1k points)

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A nucleus \(X\) emits a beta particle to produce a nucleus \(Y\). If their atomic masses are \(M_{x}\) and \(M_{y}\) respectively, the maximum energy of the beta particle emitted is (where \(m_{e}\) is the mass of an electron and \(c\) is the velocity of light)

asked Dec 11, 2021 in Kinematics by kritika (90.1k points)

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If \(R\) is the Rydberg Constant in \(\mathrm{cm}^{-1}\), then hydrogen atom does not emit any radiation of wave-length in the range of

asked Dec 11, 2021 in Kinematics by kritika (90.1k points)

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In a Frounhofer diffraction experiment, a single slit of width \(0.5 \mathrm{~mm}\) is illuminated by a monochromatic light of wavelength \(600 \mathrm{~nm}\). The diffraction pattern is observed on a screen at a distance of \(50 \mathrm{~cm}\) from the slit. What will be the linear separation of the first order minima?

asked Dec 11, 2021 in Optics by kritika (90.1k points)

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The intensity of light emerging from one of the slits in a Young's double slit experiment is found to be \(1.5\) limes the intensity of light emerging from the other slit. What will be the approximate ratio of intensity of an interference maximum to that of an interference

asked Dec 11, 2021 in Properties of solids and liquids by kritika (90.1k points)

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If \(y=(1+x)\left(1+x^{2}\right)\left(1+x^{4}\right) \ldots . .\left(1+x^{2 n}\right)\) then the value of \(\left(\frac{\text { dy }}{d x}\right)\) at \(x=0\) is

asked Dec 7, 2021 in Kinematics by deepak01 (12.2k points)

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The value of \(\cos 15^{\circ} \cos 7 \frac{1}{2} \sin 7 \frac{1^{\circ}}{2}\) is (A) \(\frac{1}{2}\) (B) \(\frac{1}{8}\) (C) \(\frac{1}{4}\) (D) \(\frac{1}{16}\)

asked Dec 7, 2021 in Kinematics by deepak01 (12.2k points)

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Let \(A\) and \(B\) two events such that \(P(A \cap B)=\frac{1}{6}, P(A \cup B)=\frac{31}{45}\) and \(P(\bar{B})=\frac{7}{10}\) then (A) \(A\) and \(B\) are independent (B) \(A\) and \(B\) are mutually exclusive (C) \(\mathrm{P}\left(\frac{\mathrm{A}}{\mathrm{B}}\right)<\frac{1}{6}\) (D) \(P\left(\frac{B}{A}\right)<\frac{1}{6}\)

asked Dec 7, 2021 in Kinematics by deepak01 (12.2k points)

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