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A body of mass $60\text{ g}$ experiences a gravitational force of $3.0\text{ N}$, when placed at a particular point. The magnitude of the gravitational field intensity at that point is
The area of a rectangular field (in $m^2$) of length 55.3 m and breadth 25 m after rounding off to the value for correct significant digits is:
A long solenoid of radius $1\text{ m}$ has $100\text{ turns per mm}$. If $1\text{ A}$ current flows in the solenoid, the magnetic field strength at the centre of the solenoid is
Given below are two statements: Statement I: Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element (Idl) of a current carrying conductor only. Statement II: Biot-Savart's law is analogous to Coulomb's inverse square law of charge q, with the former being related to the field produced by a vector source, Idl while the latter being produced by a scalar source, q. In light of above statements choose the most appropriate answer from the options given below:
Two hollow conducting spheres of radii $R_1$ and $R_2$ ($R_1 >> R_2$) have equal charges. The potential would be
A light ray falls on a glass surface of refractive index $\sqrt{3}$, at an angle $60^{\circ}$. The angle between the refracted and reflected rays would be
Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The stretching of a spring is determined by the shear modulus of the material of the spring. Reason (R): A coil spring of copper has more tensile strength than a steel spring of same dimensions. In the light of the above statements, choose the most appropriate answer from the options given below
The ratio of the distances travelled by a freely falling body in the $1^{\text{st}}$, $2^{\text{nd}}$, $3^{\text{rd}}$ and $4^{\text{th}}$ second
A copper wire of length $10\text{ m}$ and radius $\frac{10^{-2}}{\sqrt{\pi}}\text{ m}$ has electrical resistance of $10\ \Omega$. The current density in the wire for an electric field strength of $10\text{ V/m}$ is
If $\oint_s \vec{E} \cdot d\vec{S} = 0$ over a surface, then
A nucleus of mass number 189 splits into two nuclei having mass number 125 and 64. The ratio of radius of two daughter nuclei respectively is
Two pendulums of length 121 cm and 100 cm start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum number of vibrations of the shorter pendulum after which the two are again in phase at the mean position is:
In hydrogen spectrum, the shortest wavelength in the Balmer series is $\lambda$. The shortest wavelength in the Bracket series is
The x-t graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at $t = 2 \text{ s}$ is
The equivalent capacitance of the system shown in the following circuit is
An ac source is connected to a capacitor $C$. Due to decrease in its operating frequency
The net impedance of circuit (as shown in figure) will be
The work functions of Caesium (Cs), Potassium (K) and Sodium (Na) are 2.14 eV, 2.30 eV and 2.75 eV respectively. If incident electromagnetic radiation has an incident energy of 2.20 eV, which of these photosensitive surfaces may emit photoelectrons?
Two bodies of mass $m$ and $9m$ are placed at a distance $R$. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be ($G = \text{gravitational constant}$)
The magnetic energy stored in an inductor of inductance $4 \mu\text{H}$ carrying a current of $2 \text{A}$ is