Question types

MODEL PAPER 10 question types

38 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

38
Questions
6
Question groups
5
Question types
Sample Questions

MODEL PAPER 10 questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

The value of $1$ Bohr magneton is: $[$Given $h =6.62 \times 10^{-34} Js , e =1.6 \times 10^{-19} C$ and $m _{ e }=9.1 \times 10^{-31} \ kg ]$
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A Rowland ring of mean radius 15 cm has 3500 turns of wire wound on a ferromagnetic core of relative permeability 800. What is the magnetic field B in the core for a magnetising current of 1.2A?
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Assertion (A): The photoelectrons produced by a monochromatic light beam incident on a metal surface have a spread in their kinetic energies.
Reason (R): The energy of electrons emitted from inside the metal surface, is lost in collision with the other atoms in the metal.
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Assertion (A): Interference pattern is made by using yellow light instead of red light, the fringes becomes narrower. 
Reason (R): In Young's double slit experiment, fringe width is given by $\beta=\frac{\lambda D }{ d }$.
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Depict the field-line pattern due to a current-carrying solenoid of finite length.
i. In what way do these lines differ from those due to an electric dipole?
ii. Why can't two magnetic field lines intersect each other?
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In the first excited state of the hydrogen atom, its radius is found to be $21.2 \times 10^{-11} m$. Calculate its Bohr radius in the ground state. Also, calculate the total energy of the atom in the second excited state.
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Draw the energy band diagram of (i) n-type, and (ii) p-type semiconductors at temperature T > 0 K. In the case of n-type Si-semiconductor, the donor energy level is slightly below the bottom of conduction band whereas in p-type semiconductor, the acceptor energy level is slightly above the top of valence band. Explain, giving examples, what role do these energy levels play in conduction and valence bands.
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A straight solenoid of length $50 \ cm$ has $1000$ turns and a mean cross $-$ sectional area of $2 \times 10^{-4} m^2$. It is placed with its axis at $30^{\circ}$, with a uniform magnetic field of $0.32 T$ . Find the torque acting on the solenoid when a current of $2 A$ is passed through it.
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Gamma rays and radio waves travel with the same velocity in free space. Distinguish between them in terms of their origin and the main application.
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Q 153 Marks Question3 Marks
The figure shows two identical rectangular loops (1) and (2) placed on a table along with a straight long current carrying conductor between them.
i. What will be the directions of the induced current in the loops when they are pulled away from the conductor with same velocity v?
ii. Will the emf induced in the two loops be equal?
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Q 163 Marks Question3 Marks
A rectangular coil P is moved from a point A to another point B with uniform velocity 'v' through a region of a uniform magnetic field acting normally inwards as shown in the figure. Show graphically (i) the variation of magnetic flux associated with the coil with time, (ii) the variation of induced emf across points X and Y of the coil with time. 
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Explain the nature of variation in magnetic flux as represented by the graph in the first case.
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Q 173 Marks Question3 Marks
How is the spacing between fringes in a double slit experiment affected if:
a. the slits separation is increased,
b. the colour of light used is changed from red to blue,
c. the whole apparatus is submerged in a oil of refractive index 1.2?
Justify your anwer in each case.
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Q 183 Marks Question3 Marks
$i$. Draw a plot showing the variation of potential energy of a pair of nucleons as a function of their separation. Mark the regions where the nuclear force is
$a$. attractive and
$b$. repulsive.
$ii$.  In the nuclear reaction ${ }_0 n^1+{ }_{92}^{235} U \rightarrow_{54}^a Xe +{ }_b^{94} Sr +2{ }_0 n^1$ determine the values of $a$ and $b$.
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Q 193 Marks Question3 Marks
Red light, however bright it is, cannot produce the emission of electrons from a clean zinc surface. But even weak ultraviolet radiation can do so. Why?
Electrons are emitted from the cathode of negligible work function, when photons of wavelength $\lambda$ are incident on it. Derive the expression for the de Broglie wavelength of the electrons emitted in terms of the wavelength of the incident light.
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$a.$ Derive an expression for the impedance of a series ${L-C-R}$ circuit connected to an $AC$ supply of variable frequency.
$b.$ Explain briefly how the phenomenon of resonance in the circuit can be used in the tuning mechanism of a radio or a $TV$ set?
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$i$. Derive lens maker’s formula for a biconvex lens.
$ii$. A point object is placed at a distance of $12 \ cm$ on the principal axis of a convex lens of focal length $10 \ cm$. A convex mirror is placed coaxially on the other side of the lens at a distance of $10 \ cm$. If the final image coincides with the object, sketch the ray diagram, and find the focal length of the convex mirror.
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A series L-C-R circuit is connected to an AC source. Using the phasor diagram, derive the expression for the impedance of the circuit. Plot a graph to show the variation of current with frequency of the source, explaining the nature of its variation.
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Four charges $+ q ,+ q ,- q$ and $- q$ are placed respectively at the corners $A , B , C$ and $D$ of a square of side a arranged in the given order. Calculate the electric potential at the centre $O$ . If $A$ a $E$ and $F$ are the midpoints of sides $BC$ and $CD$ respectively, what will be the work done in carrying a charge e from $O$ to $E$ and from $O$ to $F$ ?
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Find the expression for the energy stored in the capacitor. Also find the energy lost when the charged capacitor is disconnected from the source and connected in parallel with the uncharged capacitor. Where does this loss of energy appear?
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