Browse and search thousands of solved questions for your preparation.
Free questions with full explanations — locked behind signup to protect quality.
If the radius of the ${}_{13}^{27}\mathrm{Al}$ nucleus is taken to be $R_{\mathrm{Al}}$, then the radius of ${}_{53}^{125}\mathrm{Te}$ nucleus is nearly:
Consider the junction diode as ideal. The value of current flowing through AB is:
A small mass attached to a string rotates on a frictionless table top as shown. If the tension on the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of $2$, the kinetic energy of the mass will:
Which among the curves shown in the figure represents electrostatic field lines?
A uniform circular disc of radius $50 \text{ cm}$ at rest is free to turn about an axis that is perpendicular to its plane and passes through its centre. It is subjected to a torque that produces a constant angular acceleration of $2.0 \text{ rad/s}^2$. Its net acceleration in $\text{m/s}^2$ at the end of $2.0 \text{ s}$ is approximately:
Magnetic moment due to the motion of the electron in the nth energy state of a hydrogen atom is proportional to
The ionization energy of the electron in the hydrogen atom in its ground state is 13.6 eV. The atoms are excited to higher energy levels to emit radiations of 6 wavelengths. The maximum wavelength of emitted radiation corresponds to the transition between:
A light and a heavy body have equal kinetic energy. Which one has a greater momentum?
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 scalar source, (Idl) while the latter being produced by a vector source, q.
A beam of light consisting of red, green, and blue colours is incident on a right-angled prism. The refractive index of the material of the prism for the red, green, and blue wavelengths is 1.39, 1.44, and 1.47 respectively. The prism will:
A source of sound S emitting waves of frequency $100 \text{ Hz}$ and an observer O are located at some distance from each other. The source is moving with a speed of $19.4 \text{ m/s}$ at an angle of $60^{\circ}$ with the source-observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer (velocity of sound in air $330 \text{ m/s}$), is:
A long solenoid of 50 cm length having 100 turns carries a current of 2.5 A. The magnetic field at the centre of the solenoid is: $(\mu_0 = 4\pi \times 10^{-7} \text{ T m A}^{-1})$
The ratio of the radii of two circular coils is 1:2. The ratio of currents in the respective coils such that the same magnetic moment is produced at the centre of each coil is:
A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in a uniform magnetic field. What should be the energy of an $lpha$-particle to describe a circle of the same radius in the same field?
Newton–second is the unit of
If a small amount of antimony is added to germanium crystal:
A wire carrying a current $I$ along the positive $x$-axis has length $L$. It is kept in a magnetic field $\vec{B} = (2\hat{i} + 3\hat{j} - 4\hat{k})$ T. The magnitude of the magnetic force acting on the wire is:
When two deuterium nuclei fuse together to form a tritium nucleus, we get a:
When $X \rightarrow ^{14}_{7}\text{N} + 2\beta^-$, then the number of neutrons in $X$ will be:
A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is