Question types

MODEL PAPER 6 question types

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

38
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6
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5
Question types
Sample Questions

MODEL PAPER 6 questions

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

The diode used in the circuit shown in the figure has a constant voltage drop at 0.5 V at all currents and a maximum power rating of 100 milliwatts. What should be the value of the resistor R, connected in series with diode for obtaining maximum current?
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The layered lens is made of two kinds of glass. A point source of light is placed on its principal axis. If the reflections from the boundaries between layers are ignored, the lens will form
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If $P$ and $Q$ are two batteries connected in series with anode of one connected to anode of the other, producing voltages $E_1$ and $E_2>E_1$ respectively. The e.m.f of the pair is
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Assertion: Two concentric charged inner and outer shell are given. The potential difference between the shells depends on charge of inner shell.
Reason: Potential due to charge of outer shell remains same at every point inside the sphere.
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What will be the path of a charged particle moving in a region of crossed (or transverse) uniform electrostatic and magnetic fields with initial velocity zero?
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A beam of protons with a velocity $4 \times 10^5 m / s$ enters a uniform magnetic field of $0.3 T$ at an angle $60^{\circ}$ to the magnetic field. Find the radius of the helical path taken by the proton beam. Also find the pitch of the helix mp $=1.67 \times 10^{-27} k$
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The ground state energy of hydrogen atom is $-13.6 eV.$ If an electron makes a transition from an energy level $-1.51 eV$ to $- 3.4 eV, $ then calculate the wavelength of the spectral line emitted and name the series of hydrogen spectrum to which it belongs.
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Two crystals $C _1$ and $C _2$, made of pure silicon, are doped with arsenic and aluminium respectively.
a. Identify the extrinsic semiconductors so formed.
b. Why is doping of intrinsic semiconductors necessary?
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Two magnetic poles, one of which is $10$ times as strong as the other, exert on each other a force equal to $9.604\ mN$ , when placed $10 \ cm$ apart in air. Find the strength of the two poles.
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Q 153 Marks Question3 Marks
Deuteron is a bound state of a neutron and a proton with a binding energy $B =2.2 MeV. A \gamma-$ ray of energy $E$ is aimed at a deuteron nucleus to try to break it into a $($neutron $+$ proton$)$ such that the $n$ and $p$ move in the direction of the incident $\gamma-$ ray. If $E = B$, show that this cannot happen. Hence calculate how much bigger than $B$ must $E$ be for such a process to happen.
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Q 163 Marks Question3 Marks
Two cells of emf $2E$ and $E$ and internal resistances $2r$ and $r$ respectively, are connected in parallel. Obtain the expressions for the equivalent emf and the internal resistance of the combination.
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Q 173 Marks Question3 Marks
A small flat search coil of area $5 \ cm^2$ with $140$ closely wound turns is placed between the poles of a powerful magnet producing magnetic field $0.09 T$ and then quickly removed out of the field region. Calculate
$a.$ change of magnetic flux through the coil, and
$b.$ emf induced in the coil.
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Q 183 Marks Question3 Marks
i. Define mutual inductance.
ii. A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5 s, what is the change of flux linkage with the other coil?
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Q 193 Marks Question3 Marks
In single slit diffraction, explain why the maxima at $\theta=\left(n+\frac{1}{2}\right)\left(\frac{\lambda}{a}\right)$ becomes weaker and weaker as an increases. State two important differences between interference and diffraction pattern.
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A charge is a property associated with the matter due to which it experiences and produces an electric and magnetic field. Charges are scalar in nature and they add up like real numbers. Also, the total charge of an isolated system is always conserved. When the objects rub against each other charges acquired by them must be equal and opposite.
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(i) The cause of charging is:
(a) the actual transfer of atoms
(b) the actual transfer of protons
(c) the actual transfer of electrons
(d) the actual transfer of neutrons

(ii) Pick the correct statement.
i. The glass rod gives protons to silk when they are rubbed against each other.
ii. The glass rod gives electrons to silk when they are rubbed against each other.
iii. The glass rod gains protons from silk when they are rubbed against each other.
iv. The glass rod gains electrons when they are rubbed against each other.
(a) Option (i) (b) Option (iv) (c) Option (iii) (d) Option (ii)

(iii) If two electrons are each $1.5 \times 10^{-10} m$ from a proton, as shown in Figure, magnitude of the net electric force they will exert on the proton is
Image

(a) $1.97 \times 10^{-8} N$
(b) $3.83 \times 10^{-8} N$
(c) $4.63 \times 10^{-8} N$
(d) $2.73 \times 10^{-8} N$

(iv) A charge is a property associated with the matter due to which it produces and experiences:
(a) electric effects only
(b) magnetic effects only
(c) both electric and magnetic effects
(d) non magnetic effects only

OR

The cause of quantization of electric charges is:
(a) transfer of an integral number of electrons
(b) transfer of an integral number of neutrons
(c) transfer of an integral number of protons
(d) transfer of an integral number of Atom
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$i$. Define the capacitance of a capacitor. Obtain the expression for the capacitance of a parallel plate capacitor in vacuum in terms of plate area $A$ and separation d between the plates.
$ii.$ A slab of material of dielectric constant $k$ has the same area as the plates of a parallel plate $\frac{3 d}{4}$ capacitor but has a thickness $ -$. Find the ratio of the capacitance with dielectric inside it to its capacitance without the dielectric.
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With the help of a diagram, explain the principle of a device which changes a low voltage into a high voltage but does not violate the law of conservation of energy. Give any one reason why the device may not be $100\%$ efficient.
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a. State the condition for resonance to occur in series LCR a.c. circuit and derive an expression for resonant frequency.
b. Draw a plot showing the variation of the peak current $\left( i _{ m }\right)$ with frequency of the a.c, source used. Define the quality factor Q of the circuit.
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$a.$ Explain why, for any charge configuration, the equipotential surface through a point is normal to the electric field at that point.
Draw a sketch of equipotential surfaces due to a single charge $(-q),$ depicting the electric field lines due to the charge.
$b.$ Obtain an expression for the work done to dissociate the system of three charges placed at the vertices of an equilateral triangle of side a as shown alongside.
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A small transparent slab containing material of $\mu=1.5$ is placed along $AS _2 $$Figure$)$. What will be the distance from $O$ of the principal maxima and of the first minima on either side of the principal maxima obtained in the absence of the glass slab?
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$AC = CO = D , S _1 C = S _2 C = d < D$
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