Recent questions in Kinematics

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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 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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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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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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