Consider a ray of light incident from air onto a slab of glass (refractive index $n$ ) of width d , at an angle $\theta$. The phase difference between the ray reflected by the top surface of the glass and the bottom surface is
View full solution →Question types
MODEL PAPER 8 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
01
M.C.Q (1 Marks)
12 Q→02Assertion (A) & Reason (B) MCQ
4 Q→032 Marks Questions
6 Q→043 Marks Question
8 Q→054 Marks Questions
2 Q→065 Marks Questions
6 Q→Sample Questions
MODEL PAPER 8 questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A conducting circular loop is placed in a uniform magnetic field, $B =0.025 T$ with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of $1\ mm\ s ^{-1}$. The induced emf when the radius is $2 \ cm ,$ is
View full solution →Submarine cables act as
The formation of depletion region in a p-n junction diode is due to
The radius of curvature of the curved surface of a plano$-$convex lens is $20 \ cm$. If the refractive index of the material of the lens be $1.5$, it will
View full solution →Assertion (A): de-Broglie wavelength is significant for microscopic particles.
Reason (R): de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.
Reason (R): de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.
Assertion (A): An applied electric field polarises a polar dielectric.
Reason (R): The molecules of a polar dielectric possess a permanent dipole moment, but in the absence of electric field, these dipoles are randomly oriented and when electric field is applied these dipoles align along the direction of electric field.
Reason (R): The molecules of a polar dielectric possess a permanent dipole moment, but in the absence of electric field, these dipoles are randomly oriented and when electric field is applied these dipoles align along the direction of electric field.
Assertion (A): Light from two coherent sources is reaching the screen. If the path difference at a point on the screen for yellow light is $\frac{3 \lambda}{2}$, then the fringe at that point will be coloured.
Reason (R): Two coherent source always have constant phase relationship.
View full solution →Reason (R): Two coherent source always have constant phase relationship.
Assertion (A): At resonance, the inductive reactance is equal and opposite to the capacitive reactance.
Reason (R): In series LCR-circuit, the inductive reactance is equal and opposite to the capacitive reactance
Reason (R): In series LCR-circuit, the inductive reactance is equal and opposite to the capacitive reactance
A student records the following data for the magnitudes $(B)$ of the magnetic field at axial points at different distances $x$ from the centre of a circular coil of radius a carrying a current $I$. Verify $($for any two$)$ that these observations are in good agreement with the expected theoretical variation of $B$ with $x$.
View full solution →
| $x \rightarrow$ | $x = 0$ | $x - a$ | $x = 2 a$ | $x = 3a$ |
| $y \rightarrow$ | $B _0$ | $0.25 \sqrt{2} B_0$ | $0.039 \sqrt{5} B_0$ | $0.010 \sqrt{10} B_0$ |
In the given figure, the curved portion is a semi-circle and the straight wires are long. Find the magnetic field at point O.
i. Define the terms: impact parameter and distance of closest approach for an -particle in the GeigerMarsden scattering experiment.
ii. What will be the value of the impact parameter for scattering angle (I) $\theta=0^{\circ}$ and (II) $\theta=180^{\circ}$ ?
View full solution →ii. What will be the value of the impact parameter for scattering angle (I) $\theta=0^{\circ}$ and (II) $\theta=180^{\circ}$ ?
Why do semiconductors obey Ohm's law for only low fields?
A ball of superconducting material is dipped in liquid nitrogen and placed near a bar magnet.
i. In which direction will it move?
ii. What will be the direction of its magnetic moment?
i. In which direction will it move?
ii. What will be the direction of its magnetic moment?
Using Bohr's postulates, obtain the expression for the total energy of the electron in the stationary states of the hydrogen atom. Hence draw the energy level diagram showing how the line spectra corresponding to Balmer series occur due to transition between energy levels.
Define the current sensitivity of a galvanometer. Write its $SI$ unit.
Figure shows two circuits each having a galvanometer and a battery of $3 V$ .
When the galvanometer in each arrangement do not show any deflection, obtain the ratio $R_1 / R_2$.
View full solution →Figure shows two circuits each having a galvanometer and a battery of $3 V$ .
When the galvanometer in each arrangement do not show any deflection, obtain the ratio $R_1 / R_2$.
How is the mutual inductance of a pair of coils affected when:
i. separation between the coils is increased?
ii. the number of turns of each coil is increased?
iii. A thin iron sheet is placed between the two coils, other factors remaining the same?
i. separation between the coils is increased?
ii. the number of turns of each coil is increased?
iii. A thin iron sheet is placed between the two coils, other factors remaining the same?
$A ($current vs time$)$ graph of the current passing through a solenoid is shown in Figure. For which time is the back electromotive force $(u)$ a maximum. If the back emf at $t = 3s$ is $e,$ find the back emf at $t = 7 s, 15s,$ and $40s. OA, AB,$ and $BC$ are straight line segments.
View full solution →A parallel beam of light of wavelength $600 \ nm$ is incident normally on a slit of width $0.2 \ mm$. If the resulting diffraction pattern is observed on a screen $1 \ m$ away, find the distance of
$a$. first minimum, and
$b$. second maximum, from the central maximum.
View full solution →$a$. first minimum, and
$b$. second maximum, from the central maximum.
Radio waves are produced by the accelerated motion of charges in conducting wires. Microwaves are produced by special vacuum tubes. Infrared waves are produced by hot bodies and molecules also known as heat waves. UV rays are produced by special lamps and very hot bodies like Sun.
(i) Solar radiation is
i. transverse electromagnetic wave
ii. longitudinal electromagnetic waves
iii. both longitudinal and transverse electromagnetic waves
iv. none of these.
(a) Option (i) (b) Option (iv) (c) Option (iii) (d) Option (ii)
(ii) What is the cause of greenhouse effect?
(a) Ultraviolet rays (b) X-rays (c) Infrared rays (d) Radiowaves
(iii) Biological importance of ozone layer is
(a) it stops ultraviolet rays
(b) none of these.
(c) it reflects radiowaves
(d) It layer reduces greenhouse effect
OR
Earth's atmosphere is richest in
(a) ultraviolet (b) infrared (c) X-rays (d) microwaves
(iv) Ozone is found in
(a) troposphere (b) mesosphere (c) ionosphere (d) stratosphere
(i) Solar radiation is
i. transverse electromagnetic wave
ii. longitudinal electromagnetic waves
iii. both longitudinal and transverse electromagnetic waves
iv. none of these.
(a) Option (i) (b) Option (iv) (c) Option (iii) (d) Option (ii)
(ii) What is the cause of greenhouse effect?
(a) Ultraviolet rays (b) X-rays (c) Infrared rays (d) Radiowaves
(iii) Biological importance of ozone layer is
(a) it stops ultraviolet rays
(b) none of these.
(c) it reflects radiowaves
(d) It layer reduces greenhouse effect
OR
Earth's atmosphere is richest in
(a) ultraviolet (b) infrared (c) X-rays (d) microwaves
(iv) Ozone is found in
(a) troposphere (b) mesosphere (c) ionosphere (d) stratosphere
$a.$ Using the ray diagram for a system of two lenses of focal lengths $f_1$ and $f_2$ in contact with each other, show that the two lens system can be regarded as equivalent to a single lens of focal length $f$, where
$\frac{1}{ f }=\frac{1}{ f _1}+\frac{1}{ f _2}$
Also write the relation for the equivalent power of the lens combination.
$b.$ Determine the position of the image formed by the lens combination given in the figure.
View full solution →$\frac{1}{ f }=\frac{1}{ f _1}+\frac{1}{ f _2}$
Also write the relation for the equivalent power of the lens combination.
$b.$ Determine the position of the image formed by the lens combination given in the figure.
A resistor of $400 \Omega$, an inductor of $\frac{5}{\pi} H$ and a capacitor of $\frac{50}{\pi} \mu F$ are connected in series across a source of alternating voltage of $140 \sin 100 \pi t V$. Find the voltage $($rms$)$ across the resistor, the inductor and the capacitor. Is the algebraic sum of these voltages more than the source voltage? If yes, resolve the paradox. (Given, $\sqrt{2}=1.414 ).$
View full solution →An ac voltage $V = V _{ m } \sin \omega t$ is applied to a series $\text{LCR}$ circuit. Obtain an expression for the current in the circuit and the phase angle between the current and voltage. What is resonance frequency?
View full solution →$a$. Derive the expression for the electric potential due to an electric dipole at a point on its axial line.
$b$. Depict the equipotential surfaces due to an electric dipole.
View full solution →$b$. Depict the equipotential surfaces due to an electric dipole.
a. Two $-$ point charges $q _1$ and $q _2$ are kept r distance apart in a uniform external electric field $\overrightarrow{ E }$. Find the amount of work done in assembling this system of charges.
b. A cube of side $20 \ cm$ is kept in a region as shown in the figure. An electric field $\vec{E}$ exists in the region such that the potential at a point is given by $V =10 x +5$, where $V$ is in volt and $x$ is in m .
Find the
$i$. electric field $\vec{E}$, and
$ii$. total electric flux through the cube.
View full solution →b. A cube of side $20 \ cm$ is kept in a region as shown in the figure. An electric field $\vec{E}$ exists in the region such that the potential at a point is given by $V =10 x +5$, where $V$ is in volt and $x$ is in m .
Find the
$i$. electric field $\vec{E}$, and
$ii$. total electric flux through the cube.
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