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Three vectors $\vec{A}=a \vec{i}+\vec{j}+k ; B=\vec{i}+b \vec{j}+k$ and $\vec{C}=\vec{i}+j+c \vec{k}$ are mutually perpendicular $(\vec{i}, \vec{j}$ and $\vec{k}$ are unit vectors along $X, Y$ and $Z$ axis respectively $) .$ The respective values of a, b and c are

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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Two particles $A$ and $B$ (both initially at rest) start moving towards each other under a mutual force of attraction. A the instant when the speed of $A$ is $v$ and the speed of $B$ is $2 v$, the speed of the centre of mass is

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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The dimension of the universal constant of gravitation $G$ is

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When a semiconducting device is connected in series with a battery and a resistance, a current is found to flow in the circuit. If, however, the polarity of the battery is reversed, practically no current flows in the circuit. The device may be

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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Radon-222 has a half-life of $3.8$ days. If one starts with $0.064 \mathrm{~kg}$ of Radon-222, the quantity of Radon-222 left aft er 19 days will be

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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When light of frequency $v_{1}$ is incident on a metal with work function $W(w h e r e, h>W)$, the photocurrent falls to zerd at a stopping potential of $\mathrm{V}_{1} .$ If the frequency of light is increased to $\mathrm{v}_{2}$, the stopping potential changes to $\mathrm{V}_{2}$. Therefore, the charge of an electron is given by

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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The de Broglie wavelength of an electron is $0.4 \times 10^{10} \mathrm{~m}$ when its kinetic energy is $1.0 \mathrm{keV}$. Its wavelength will be $1.0 \times 10^{-10} \mathrm{~m}$, when its kinetic energy is

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Two monochromatic coherent light beams $A$ and $B$ have intensities $L$ and $\frac{ L}{4}$respectively. If these beams are super. posed, the maximum and minimum intensities will be

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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A proton is moving with a uniform velocity of $\$ 0 \mathrm{~ns}^{-1}$ along the $Y$-axis, under the joint action of a magnetic field aloig $Z$-axis and an electric field of magnitude $2 \times 10 \mathrm{Vm}^{-1}$ along the negativeX-axis. If the electric field is switched off, the proton starts moving in a circle. The radius of the circle is nearly $\left(\right.$ given $\frac{e}{m}$ ratio for proton $\left.=10 \mathrm{Ckg}^{-1}\right)$

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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The magnetic field due to a current in a straight wire segment of length $\mathrm{L}$ at a point on its perpendicular bisector at a distance $r(r>>L)$

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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A charge of $0.8$ coulomb is divided into two charges $Q_{1}$ and $Q_{2}$. These are kept at a separation of $30 \mathrm{~cm}$. The force on $Q_{1}$ is maximum when

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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Three capacitors of capacitance $1.0,2.0$ and $5.0 \mu \mathrm{F}$ are connected in series to a $10 \mathrm{~V}$ source. The potential difference across the $2.0 \mu \mathrm{F}$ capacitor is

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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A positive charge $Q$ is situated at the centre of a cube. The electric flux through any face of the cube is (in SI units)

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A solid rectangular sheet has two different coefficients of linear expansion $\alpha_{1}$ and $\alpha_{2}$ along its length and breadth respectively. The coefficient of surface expansion is (for $\alpha_{1} t<<1, \alpha_{2} t<<1$ )

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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2 moles of an ideal monatomic gas is carried from a state $\left(\mathrm{P}_{0}, \mathrm{~V}_{0}\right)$ to a state $\left(2 \mathrm{P}_{0}, 2 \mathrm{~V}_{0}\right)$ along a straight line path in a $P-V$ diagram. The amount of heat absorbed by the gas in the process is given by

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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Temperature of an ideal gas, initially at $27^{\circ} \mathrm{C}$, is raised by $6^{\circ} \mathrm{C}$. The rms velocity of the gas molecules will,

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A liquid of bulk modulus $k$ is compressed by applying an external pressure such that its density increases by $0.01 \%$. The pressure applied on the liquid is

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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A uniform capillary tube of length / and inner radius $r$ with its upper end sealed is submerged vertically into water. The outside pressure is $\mathrm{p}_{0}$ and surface tension of water is $\gamma$. When a length $\mathrm{x}$ of the capillary is submerged into water, it is found that water levels inside and outside the capillary coincide. The value of $x$ is

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A uniform string of length $L$ and mass $M$ is fixed at both ends while it is subject to a tension $T$. It can vibrate at frequencies $(v)$ given by the formula (where $n=1,2,3, \ldots .$.)

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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The velocity of a particle executing a simple harmonic motion is $13 \mathrm{~ms}^{-1}$, when its distance from the equilibrium position (Q) is $3 \mathrm{~m}$ and its velocity is $12 \mathrm{~ms}^{-1}$, when it is $5 \mathrm{~m}$ away from $\mathrm{Q}$. The frequency of the simple harmonic motion is

asked Dec 14, 2021 in Kinematics by kritika (90.1k points)

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