Question
When a ferromagnetic material goes through a hysteresis loop, its thermal energy is increased. Where does this energy come from?

Answer

When a ferromagnetic material is taken through the cycle of magnetisation, magnet dipoles of the material orient and reorient with time. This molecular motion within the material results in the production of heat, which increses thermal energy of material.

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Discuss the Einstien's explanation for the photoelectric effect.
Huygen's principle is the basis of wave theory of light. Each point on a wavefront acts as a fresh source of new disturbance, called secondary waves or wavelets. The secondary wavelets spread out in all directions with the speed light in the given medium. An initially parallel cylindrical beam travels in a medium of refractive index $\mu(\text{I})=\mu_0+\mu_2\text{I}$, where $\mu_0$ and $\mu_2$ are positive constants and I is the intensity of the light beam. The intensity of the beam is decreasing with increasing radius.
  1. The initial shape of the wavefront of the beam is:
  1. Planar.
  2. Convex.
  3. Concave.
  4. Convex near the axis and concave near the periphery.
  1. According to Huygens Principle, the surface of constant phase is:
  1. Called an optical ray.
  2. Called a wave.
  3. Called a wavefront.
  4. Always linear in shape.
  1. As the beam enters the medium, it will:
  1. Travel as a cylindrical beam.
  2. Diverge.
  3. Converge.
  4. Diverge near the axis and converge near the periphery.
  1. Two plane wavefronts oflight, one incident on a thin convex lens and another on the refracting face of a thin prism. After refraction at them, the emerging wavefronts respectively become.
  1. Plane wavefront and plane wavefront.
  2. Plane wavefront and spherical wavefront.
  3. Spherical wavefront and plane wavefront.
  4. Spherical wavefront and spherical wavefront.
  1. Which of the following phenomena support the wave theory of light?
  1. Scattering.
  2. Interference.
  3. Diffraction.
  4. Velocity of light in a denser medium is less than the velocity of light in the rarer medium.
  1. 1, 2, 3
  2. 1, 2, 4
  3. 2, 3, 4
  4. 1, 3, 4
An electric charge of $17.7 \times 10^{-4}$ Coulomb is distributed uniformly on a large thin sheet of area $200 m^2$. Find the intensity of the electric field in air at a distance of 20 cm from it.
A galvanometer can be converted into voltmeter of given range by connecting a suitable resistance R, in series with the galvanometer, whose value is given by,
$\text{R}_\text{s}=\frac{\text{V}}{\text{I}_\text{g}}-\text{G}$
where Vis the voltage to be measured, lg is the current for full scale deflection of galvanometer and G is the resistance of galvanometer.

Series resistor(R,) increases range of voltmeter and the effective resistance of galvanometer. It also protects the galvanometer from damage due to large current. Voltmeter is a high resistance instrument and it is always connected in parallel with the circuit element across which potential difference is to be measured. An ideal voltmeter has infinite resistance. In order to increase the range of voltmeter n times the value of resistance to be connected in series with galvanometer is $R_s = (n - 1)G.$
  1. 10mA current can pass through a galvanometer of resistance $25\Omega$ What resistance in series should be connected through it, so that it is converted into a voltmeter of 100V?
  1. $0.975\Omega$
  2. $99.75\Omega$
  3. $975\Omega$
  4. $9975\Omega$
  1. There are 3 voltmeter A, B, C having the same range but their resistance are $15000\Omega,10000\Omega$, and $5000\Omega$ respectively. 'Tile best voltmeter amongst them is the one whose resistance is
  1. $5000\Omega$
  2. $10000\Omega$
  3. $15000\Omega$
  4. all are equally good.
  1. A milliammeter of range 0 to 25mA and resistance of $10\Omega$ is to be converted into a voltmeter with a range of 0 to 25V. 'Tile resistance that should be connected in series will be:
  1. $930\Omega$
  2. $960\Omega$
  3. $990\Omega$
  4. $1010\Omega$
  1. To convert a moving coil galvanometer (MCG) into a voltmeter:
  1. A high resistance R is connected in parallel with MCG.
  2. A low resistance R is connected in parallel with MCG.
  3. A low resistance R is connected in series with MCG.
  4. A high resistance R is connected in series with MCG.
  1. To increase the current sensitivity of a moving coil galvanometer, we should decrease:
  1. Zero.
  2. Low.
  3. High.
  4. Infinity.
Consider a gravity-free hall in which an experimenter of mass 50kg is resting on a 5kg pillow, 8ft above the floor of the hall. He pushes the pillow down so that it starts falling at a speed of 8ft/s. The pillow makes a perfectly elastic collision with the floor, rebounds and reaches the experimenter's head. Find the time elapsed in the process.
A hot body is placed in a closed room maintained at a lower temperature. Is the number of photons in the room increasing?
When light from a monochromatic source is incident on a single narrow slit, it gets diffracted and a pattern of ahem ate bright and dark fringes is obtained on screen, called "Diffraction Pattern" of single slit. ln diffraction pattern of single slit, it is found that.
  1. Central bright fringe is of maximum intensity and the intensity of any secondary bright fringe decreases with increase in its order.
  2. Central bright fringe is twice as wide as any other secondary bright or dark fringe.
  1. A single slit of width 0.1mm is illuminated by a parallel beam oftight of wavelength $6000\mathring{\text{A}}$ and diffraction bands are observed on a screen 0.5m from the slit. The distance of the third dark band from the central bright band is:
  1. 3mm
  2. 1.5mm
  3. 9mm
  4. 4.5mm
  1. ln Fraunhofer diffraction pattern, slit width is 0.2mm and screen is at 2m away from the lens. If wavelength of tight used is $5000\mathring{\text{A}}$ then the distance between the first minimum on either side the central maximum is:
  1. $10^{-1}m$
  2. $10^{-2}m$
  3. $2 \times 10^{-2}m$
  4. $2 \times 10^{-1}m$
  1. Light of wavelength 600nm is incident normally on a slit of width 0.2mm. The angular width of central maxima in the diffraction pattern is (measured from minimum to minimum).
  1. $6 \times 10^{-3}$rad
  2. $4 \times 10^{-3}$rad
  3. $2.4 \times 10^{-3}$rad
  4. $4.5 \times 10^{-3}$rad
  1. A diffraction pattem is obtained by using a beam of red light. What will happen, if the red light is replaced by the blue light?
  1. Bands disappear
  2. Bands become broader and farther apart
  3. No change will take place
  4. Diffraction bands become narrower and crowded together.
  1. To observe diffraction, the size of the obstacle.
  1. Should be $\frac{\lambda}{2}$, where $\lambda$, is the wavelength.
  2. Should be of the order of wavelength.
  3. Has no relation to wavelength.
  4. Should be much larger than the wavelength.
A charged particle moving in a magnetic field experiences a force that is proportional to the strength of the magnetic field, the component of the velocity that is perpendicular to the magnetic field and the charge of the particle. This force is given by $\vec{\text{F}}=\text{q}(\vec{\text{v}}\times\vec{\text{B}})$ where q is the electric charge of the particle, v is the instantaneous velocity of the particle, and Bis the magnetic field (in tesla). The direction of force is determined by the rules of cross product of two vectors. Force is perpendicular to both velocity and magnetic field. Its direction is same as $\vec{\text{v}}\times\vec{\text{B}}$ if q is positive and opposite of $\vec{\text{v}}\times\vec{\text{B}}$ if q is negative. The force is always perpendicular to both the velocity of the particle and the magnetic field that created it. Because the magnetic force is always perpendicular to the motion, the magnetic field can do no work on an isolated charge. It can only do work indirectly, via the electric field generated by a changing magnetic field.
  1. When a magnetic field is applied on a stationary electron, it:
  1. Remains stationary.
  2. Spins about its own axis.
  3. Moves in the direction of the field.
  4. Moves perpendicular to the direction of the field.
  1. A proton is projected with a uniform velocity v along the axis of a current carrying solenoid, then,
  1. The proton will be accelerated along the axis.
  2. The proton path will be circular about the axis.
  3. The proton moves along helical path.
  4. The proton will continue to move with velocity v along the axis.
  1. A charged particle experiences magnetic force in the presence of magnetic field. Which of the following statement is correct?
  1. The particle is stationary and magnetic field is perpendicular.
  2. The particle is moving and magnetic field is perpendicular to the velocity.
  3. The particle is stationary and magnetic field is parallel.
  4. The particle is moving and magnetic field is parallel to velocity.
  1. A charge q moves with a velocity $2m\ s^{-1}$ along x-axis in a uniform magnetic field $\vec{\text{F}}=(\vec{\text{i}}+2\vec{\text{j}}+3\vec{\text{k}})\text{T,}$ charge will experience a force.
  1. In z-y plane.
  2. Along -y axis.
  3. Along +z axis.
  4. Along -z axis.
  1. Moving charge will produce.
  1. Electric field only.
  2. Magnetic field only.
  3. Both electric and magnetic field.
  4. None of these.
A magnetic field can be produced by moving, charges or electric currents. The basic equation governing the magnetic field due to a current distribution is the Biot-Savart law. Finding the magnetic field resulting from a current distribution involves the vector product, and is inherently a calculas problem when the distance from the current to the field point is continuously changing. According to this law, the magnetic field at a point due to a current element of length $\text{d}\vec{\text{I}}$ carrying current I, at a distance r from the element is $\text{dB}=\frac{\mu_0}{4\pi}\frac{\text{I}(\text{d}{\vec{\text{I}}\times\vec{\text{r}}})}{\text{r}^3}$Biot-Savart law has certain similarities as well as difference with Coloumb's law for electrostatic field e.g., there is an angle dependence in Biot-Savart law which is not present in electrostatic case.
  1. The direction of magnetic field $\text{d}\vec{\text{B}}$ due to a current element $\text{Id}\vec{\text{l}}$ at a point of distance $\vec{\text{r}}$ from it, when a current I passes through a long conductor is in the direction
  1. Of position vector $\vec{\text{r}}$ of the point.
  2. Of current element $\text{Id}\vec{\text{l}}$
  3. Perpendicular to both $\text{d}\vec{\text{l}}$ and $\vec{\text{r}}$
  4. Perpendicular to $\text{d}\vec{\text{l}}$ only.
  1. The magnetic field due to a current in a straight wire segment of length Lat a point on its perpendicular bisector at a distance r (r >> L)
  1. Decreases as $\frac{1}{\text{r}}$
  2. Decreases as $\frac{1}{\text{r}^2}$
  3. Decreases as $\frac{1}{\text{r}^3}$
  4. approaches a finite limit as $\text{r}\rightarrow\infty$
  1. Two long straight wires are set parallel to each other. Each carries a current i in the same direction and the separation between them is 2r. The intensity of the magnetic field midway between them is:
  1. $\mu_0\frac{\text{i}}{\text{r}}$
  2. $4\mu_0\frac{\text{i}}{\text{r}}$
  3. $\text{Zero}$
  4. $\mu_0\frac{\text{i}}{\text{4r}}$
  1. A long straight wire carries a current along the z-axis for any two points in the x - y plane. Which of the following is always false?
  1. The magnetic fields are equal.
  2. The directions of the magnetic fields are the same.
  3. The magnitudes of the magnetic fields are equal.
  4. The field at one point is opposite to that at the other point.
  1. Biot-Savart law can be expressed alternatively as:
  1. Coulomb's Law.
  2. Ampere's circuital law.
  3. Ohm's Law.
  4. Gauss's Law.
Niels Bohr introduced the atomic Hydrogen model in 1913. He described it as a positively charged nucleus, comprised of protons and neutrons, surrounded by a negatively charged electron cloud. In the model, electrons orbit the nucleus in atomic shells. The atom is held together by electrostatic forces between the positive nucleus and negative surroundings.

Bohr correctly proposed that the energy and radii of the orbits of electrons in atoms are quantized, with energy for transitions between orbits given by
$\triangle\text{E}=\text{h}\upsilon=\text{E}_\text{i}-\text{E}_\text{f}$ where $\triangle\text{E}$ is the change in energy between the initial and final orbits and $\text{h}\upsilon$ is the energy of an absorbed or emitted photon.
  1. In the Bohr model of the hydrogen atom, discrete radii and energy states result when an electron circles the atom in an integer number of
  1. De Broglie wavelengths
  2. Wave frequencies
  3. Quantum numbers
  4. Diffraction patterns.
  1. The angular speed of the electron in the $n^{th}$ orbit of Bohr's hydrogen atom is.
  1. Directly proportional to n
  2. Inversely proportional to $\sqrt{\text{n}}$
  3. Inversely proportional to $n^2$
  4. Inversely proportional to $n^3$
  1. When electron jumps from n = 4 level to n = 1 level, the angular momentum of electron changes by.
  1. $\frac{\text{h}}{2\pi}$
  2. $\frac{\text{h}}{\pi}$
  3. $\frac{\text{3h}}{2\pi}$
  4. $\frac{\text{2h}}{\pi}$
  1. The lowest Bohr orbit in hydrogen atom has.
  1. The maximum energy
  2. The least energy
  3. Infinite energy
  4. Zero energy
  1. Which of the following postulates of the Bohr model led to the quantization of energy of the hydrogen atom?
  1. The electron goes around the nucleus in circular orbits.
  2. The angular momentum of the electron can only be an integral multiple of $\frac{\text{h}}{2\pi}$.
  3. The magnitude of the linear momentum of the electron is quantized.
  4. Quantization of energy is itself a postulate of the Bohr model.