Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

An aluminium cylindrical container has an internal capacity of 2.00 litre at 20.0^(@)C. It is completely filled with turpentine oil and then slowly warmed to 100.0^(@)C. Coefficient of volume expansion of turpentine oil is 9.00xx10^(-4)C^(-1) and the thermal linear co-efficient of aluminium is 0.720 xx10^(-4)C^(-1). The amount of overflow of turpentine oil in litres is ............

Answer»


SOLUTION :Volume of overflow
`=Delta V _("TURPENTINE") - Delta V _(Al) = gamma _("turpentine") V _(0) Delta THETA - gamma _(A L) V _(0) Delta theta`
`= (gamma _("Turpentine")- 3alpha _(Al)) V _(0) Delta theta = (9.00xx10^(-4)-2.16xx10^(-4)) V_(0) Delta theta`
`= 6.84xx10^(-4) xx 2xx 80L =0.11L`
2.

If the energy of a photon corresponding to a wavelength 600 nm is 3.32xx10^(-19)J, then energy of a photon of wavelength 400 nm will be

Answer»

1.4 eV
4.9 eV
3.1 eV
1.6 eV

Answer :C
3.

A container made of glass (mu= 1.5) contains a liquid. A ray of light passing through the liquid falls on the bottom of the container at an angle of incidence theta= tan^(-1)""(0.9) and completely polarized. The ray should strike the bottom of the container at an angle of incidences so that it undergoes total internal reflection

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`TAN^(-1) (1.5)`
`SIN^(-1) (0.9)`
`tan^(-1) (0.75)`
`sin^(-1) (0.45)`

ANSWER :B
4.

A junction diode can:be biased_____and_____.

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ANSWER :FORWARD, BACKWARD
5.

Which of the following is a paramagnetic material ?

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Water
Antimony
Chromium
Bismuth

Answer :C
6.

An electrolytic cell containing a solution of CuSO_(4) has an internal resistance of 1Omega. It is connected in series with 3 V battery of negligible resistance and a 4Omega resistance. The mass of copper which will be deposited on the copper electrode in 30 min is calculated. If 4 Omega resistance is connected in parallel across the electrolytic cell and the same battery is used, the amount of copper deposited in 30 min is calculated ECE of Cu= 0.00033 g/C. Using Faraday's first law of electrolysis, the mass deposited on the copper electrode can be calculated. For the resistance of 4 Omega connected in parallel to cell, the current in the circuit is

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3.75A
7.35A
5.73A
5A

Answer :A
7.

How the quality factor effects the selectivity of the circuits ?

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Solution :Higher the QUALITY FACTOR, more SELECTIVE is the CIRCUIT.
8.

An electrolytic cell containing a solution of CuSO_(4) has an internal resistance of 1Omega. It is connected in series with 3 V battery of negligible resistance and a 4Omega resistance. The mass of copper which will be deposited on the copper electrode in 30 min is calculated. If 4 Omega resistance is connected in parallel across the electrolytic cell and the same battery is used, the amount of copper deposited in 30 min is calculated ECE of Cu= 0.00033 g/C. Using Faraday's first law of electrolysis, the mass deposited on the copper electrode can be calculated. Mass of copper deposited in 30 min when resistance of 4 Omega is in series is

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0.214g
0.156g
0.356g
0.653g

Answer :C
9.

For an angle of incidence theta on an equilateral prism of refractive index sqrt(3) , the ray refracted is parallel to the base inside the prism. The value of theta is

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`30^(@)`
`45^(@)`
`60^(@)`
`75^(@)`

ANSWER :C
10.

A bomb initially at rest at a height of 40 m above the ground suddenly explodes into two identical fragments. One of them starts moving vertically downwards with an initial speed of 10 m/s. If acceleration due to gravity is 10 m//s^2, the separation between the fragments, 2 seconds after the explosion is

Answer»

Solution :Initial relative velocity `u_(rel) =10-(-10) = 20 m//s`
Relative acceleration `a_("rel") =g -g=0`
After t=2 sec, relative separation
After t=2 sec, relative separation
`S_("rel") =u_(rel) t + 1/2 a_(rel)t^(2) =(20 xx 2) + 0= 40 m`
11.

Use the mirror equation to show that (a) an object placed btween f and 2f a concave mirror produces a real image beyond 2f (b) a convex mirror always produces a virtual image independent of the location of the objcet. (c) an object placed between the pole and focus of a concave mirror produces a virtual and enlarged image.

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Solution :(a) As `DeltasABC` and `A'B'C` are similar
`therefore (AB)/(A'B')=(CB)/(CB')……..(I)`
Again as `DeltasABP` and `A'B'P` are similar
`(AB)/(A'B')=(PB)/(CB')……..(II)`
From `(i)` and `(ii)`
`(AB)/(A'B)=(PB)/(PB')…….(iii)`
Measuring all distance from `P` , we have
`CB=PB-PC`
`CB'=PC-PB'`
`therefore` from `(iii)`
`(PB-PC)/(PC-PB')=(PB)/(PB')........(iv)`
Using New Cartisian SIGN conventions,
`PB=-u`
`PC=-R`
`PB'=-v`
We GET from `(iv)`
`(-u+R)/(-R+v)=(-u)/(-v)`
or `+uR-uv=uv-vR`
`uR+vR=2uv`
Dividing both sides by `uvR`, we get
`(1)/(v)+(1)/(u)=(2)/(R)`
As `(1)/(v)+(1)/(u)=(2)/(R)=(2)/(2f)=(1)/(f)`
`rArr (1)/(v)+(1)/(u)=(1)/(f)`

(b) According to sign conventions,
`PB'=-u,PB'=+v`
`PB=f,PC=2f`
`DeltasABC` and `A'B'C` are similar
`therefore (AB)/(A'B')=(CB)/(B'C)`
But all DISTANCES along the principal axis should be measured from the pole of the mirror.
`(AB)/(A'B')=(PC+PB)/(PC-PB')`
Since the aperture of the mirror is small therefore `MP` can be regarded as a straight line.
`DeltasMPF` and `A'B'F` are similar
`(MP)/(A'B')=(PF)/(B'F)=(PF)/(PF-PB')`or ` (AB)/(A'B')=(f)/(f-v)........(ii)`
from `(i)` and `(ii)`
`(2f-u)/(2f-v)=(f)/(f-v)`
`2f^(2)-2fv-uf+uv=2f^(2)-VF`
`-fv-uf+uv=0`
`uv=fv+fu`
Dividing by `uvf`, we get
`(1)/(f)=(1)/(u)+(1)/(v)`

(c) `(PB-PC)/(PC-PB')=(PB)/(PB') ........(i)`
Proceeding as above, we get
`(CB)/(CB')=(PB)/(PB')...........(ii)`
Measuring all distance from `O`, we get
`CB=PC-PB`
`CB'=PC+PB`
From `(i)`
`(PC-PB)/(PC+PB') =(PB)/(PB')`
Using New cartisian sign conventins,
PB=-u,PB=+v`
`PC=-R=(-R+u)/(-R+V)=(-u)/(v)`
or `uR-uv=vR+uv`
`uR+vR=2 uv`
Dividing both sides by `uvR`, we get
`(1)/(v)+(1)/(u)=(2)/(R)=(2)/(2f)=(1)/(f),(1)/(v)+(1)/(u)=(1)/(f)`
12.

The equation of a wave is y= 4 sin[pi/2 (2t + 1/8x)] where y and x are in cm and t is in second.

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The AMPLITUDE, wavelength, velocity and frequency of WAVE are 4cm, `16cm,32cm^(-1)`and 1Hz respectively with wave propagating along + X direction,
The amplitude, wavelength, velocity and frequency of wave are 4cm, 32cm, 16cm/s, and 0.5Hz respectively with wave propagating along -x direction
Two position OCCUPIED by the particle at time interval of 0.4s have a phase difference of `0.4 pi`radian
Two position occupied by the particle at SEPARATION of 12 cm have a phase difference of 135°

Answer :B::C::D
13.

An electrolytic cell containing a solution of CuSO_(4) has an internal resistance of 1Omega. It is connected in series with 3 V battery of negligible resistance and a 4Omega resistance. The mass of copper which will be deposited on the copper electrode in 30 min is calculated. If 4 Omega resistance is connected in parallel across the electrolytic cell and the same battery is used, the amount of copper deposited in 30 min is calculated ECE of Cu= 0.00033 g/C. Using Faraday's first law of electrolysis, the mass deposited on the copper electrode can be calculated. For series connection of 4 Omega resistor, the current flowing through electrolyte is

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6A
0.6A
0.2A
1A

Answer :B
14.

What is the maximum value of the force F such that the block shown in the arrangement, does not move?

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`20N`
`10 N`
`12 N`
`15 N`

Solution :`F= mu R= mu (W +F sin 60^@ ) `
` F cos 60^@= mu(W + Fsin 60^@60 ^@ )`
SUBSTITUTING`mu = (1)/(2 sqrt(3))andW= 10sqrt(3), ` weget ` F=20 N`
15.

The material which do not conduct electric current are called .

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SOLUTION :INSULATORS
16.

Using Kichhoff's law in the given circuit determine the voltange drop a cross the unknown resistor 'R'

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Solution :Applying kirchhoff's second rule (law) in the closed loop ABFEA.
`-0.5xx2=V_(A)-V_(B)-3`
`-1+3=V_(A)-V_(B)`
`V_(A)-V_(B)=2Va`
POTENTIAL drop ACROSS R si 2V as R, EF & AB are parallel.
17.

In a certain experiments to measure the ratio of charge to mass of elementry particles, a surprising result was obtained in which two particle, a surprising result was obtained in which two particles moved in such a way that the distance between them always remained constant. It was also noticed that this two-particle system was isolated from all other particles and no force was acting on this system except the force between these two mases. After careful observation followed bu intensive calculation, it was deduced that velocity of these two particles was always opposite in direction and magnitude of velocitywas 10^(3) ms^(-1) and 2 xx 10^(3) ms^(-1) for first and second particle, respectively,and mass of these particles were 2 xx 10^(-30) kg and 10^(-30)kg, respectively. Distance between them were 12Å(1Å = 10^(-10)m). Paths of the two particles was

Answer»

intersecting straight lines
parabolic
CIRCULAR
straight line with respect

Solution :
Since the DISTANCE between them always REMAINS constant, but they MOVE with different velocities they must move in different circles with common center as shown in FIG.
18.

The velocity of an electron at point A_(1) is V_(0) where cross sectional areas is A. The velocity of electron just the end of contraction at point B, where cross sectional area is 2A is V_(1). Find the correct option:

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`V_(1) lt V_(0)`
`V_(1)=V_(0)`
`V_(1) GT V_(0)`
`V_(1)=(V_(0))/(2)`

SOLUTION :As the electrons comes near the THROAT, positive charges are INDUCED on the throat. The induced charges attract the electron and velocity INCREASES. So `V_(1)gtV_(0)`.
19.

A circular motion of a particle with constant speed is

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Periodic but not SHM
SHM but not Periodic
Periodic and ALSO SHM
NEITHER periodic nor SHM.

Solution :Circular MOTION of a particle with constant speed is an example of periodic motion but not of SIMPLE harmonic motion.
So correct choice is (a).
20.

In a certain experiments to measure the ratio of charge to mass of elementry particles, a surprising result was obtained in which two particle, a surprising result was obtained in which two particles moved in such a way that the distance between them always remained constant. It was also noticed that this two-particle system was isolated from all other particles and no force was acting on this system except the force between these two mases. After careful observation followed bu intensive calculation, it was deduced that velocity of these two particles was always opposite in direction and magnitude of velocitywas 10^(3) ms^(-1) and 2 xx 10^(3) ms^(-1) for first and second particle, respectively,and mass of these particles were 2 xx 10^(-30) kg and 10^(-30)kg, respectively. Distance between them were 12Å(1Å = 10^(-10)m). Acceleration of the second particle was

Answer»

`5 XX 10^(15) MS^(-2)`
`4 xx 10^(16)ms^(-2)`
`2 xx 10^(16)ms^(-2)`
zero

Solution :ACCELERATION of SECOND particle is
`(v_(2)^(2))/(r_(2))=((2xx10^(3))^(2))/((8xx10^(-12)))=5xx10^(15)ms^(-2)`
21.

A set of atoms in an excited state decays.

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in general to any of the states with lower ENERGY.
into a lower state only when excited by an external ELECTRIC field
all TOGETHER simultaneously into a lower state.
to EMIT photons only when they collide.

Solution :in general to any of the states with lower energy.
22.

In a certain experiments to measure the ratio of charge to mass of elementry particles, a surprising result was obtained in which two particle, a surprising result was obtained in which two particles moved in such a way that the distance between them always remained constant. It was also noticed that this two-particle system was isolated from all other particles and no force was acting on this system except the force between these two mases. After careful observation followed bu intensive calculation, it was deduced that velocity of these two particles was always opposite in direction and magnitude of velocitywas 10^(3) ms^(-1) and 2 xx 10^(3) ms^(-1) for first and second particle, respectively,and mass of these particles were 2 xx 10^(-30) kg and 10^(-30)kg, respectively. Distance between them were 12Å(1Å = 10^(-10)m). Acceleration of the first particle was

Answer»

zero
`4 xx 10^(16)ms^(-2)`
`2 xx 10^(16)ms^(-2)`
`2.5 xx 10^(15)ms^(-2)`

Solution :The two particles move in different circles. The mutual interaction force provides the required centripetal force to the particle, as magnitude of the intersection force is same we get
`F_(12)=(m_(1)v_(1)^(2))/(r_(1))` and `F_(21)=(m_(2)v_(2)^(2))/(r_(2))`
`|vecF_(1)|=|vecF_(2)|` or `(m_(1)v_(1)^(2))/(r_(1))=(m_(2)v_(2)^(2))/(r_(2))`
putting values we get `r_(2)=2r_(1)`
Also, `r_(1)+r_(2)=12xx10^(-12)m` (GIVEN)
`r_(1)=4xx10^(-12)m,r_(2)=8xx10^(-12)m`
Acceleration of first particle `=(v_(1)^(2))/(r_(1))=((10^(3))^(2))/((4xx10^(-12)))`
`=2.5xx10^(15)ms^(-2)`
23.

Explain 'Mixed Connection' of cells and derive an expression for its equivalent emf and current.

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Solution :n. cells of emf `epsilon_(1) , epsilon_(2) ....epsilon_(n) and r_(1) , r_(2) ....r_(n)`INTERNAL resistance are connected in a series. .m. rows of above series are joined in parallel toform a mixed connection as shown in figure.

`rArr` Now total emf of each series is,
`epsilon = sum_(i=l)^(n) epsilon_(i)`
`rArr` If total (EQUIVALENT) internal resistance of mixed connection is r then
`(1)/(r) = (1)/(r.) + (1)/(r.) + (1)/(r.) ` + ..... m times = `(m)/(r.) = (m)/(SUM r_(i)) `
`therefore r = (sum r_(i))/(m)`
`rArr` All rows are parallel to each other, So total emf `epsilon = sum epsilon_(1)`
`therefore` CurrentI =` (" Total emf" )/("Total resistance " )`
`I = (sum epsilon_(i))/(R + (sum r_(i))/(m) ) `
where R is the series resistance given in the CIRCUIT.
24.

In a certain experiments to measure the ratio of charge to mass of elementry particles, a surprising result was obtained in which two particle, a surprising result was obtained in which two particles moved in such a way that the distance between them always remained constant. It was also noticed that this two-particle system was isolated from all other particles and no force was acting on this system except the force between these two mases. After careful observation followed bu intensive calculation, it was deduced that velocity of these two particles was always opposite in direction and magnitude of velocitywas 10^(3) ms^(-1) and 2 xx 10^(3) ms^(-1) for first and second particle, respectively,and mass of these particles were 2 xx 10^(-30) kg and 10^(-30)kg, respectively. Distance between them were 12Å(1Å = 10^(-10)m). if the first particle is stopped for a moment and then released, the velocity of center of mass of the system just after the release will be

Answer»

`1/3 XX 10^(-30)ms^(-1)`
`1/3 xx 10^(3) ms^(-1)`
`2/3 xx 10^(3) ms^(-1)`
none of these

SOLUTION :Just after release,
`V_(CM)=(m_(1)v_(1)+m_(2)v_(2))/(m_(1)+m_(2))`
`=((2xx10^(-30))(0)+(10^(-30))(2xx10^(3)))/(3xx10^(-30))=(2)/(3)xx10^(3)ms^(-1)`
25.

What suggest that light waves are transverse in nature ?

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SOLUTION :POLARISATION
26.

A vessel consists of two plane mirrors at right angles (as shown in figure). The vessel is filled withwater. The total deviation in incident ray is

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`0^(@)`
`90^(@)`
`180^(@)`
None of the above

Solution :(c) The phenomenon of reflection is INDEPENDENT of medium.
The deviation produced by combination of TWO plane mirrors is
`delta=PI-2theta`
or `delta=2pi-2(pi)/2` ( `:'theta=90^(@)`)
`:. Delta=pi=180^(@)`
27.

sqrt(v) versus Z graph for dcharacteristic X-rays is as shown in figure. Mathc the following

Answer»


ANSWER :A::B::C::D
28.

Some cases are given below. Identify the case in which emf is induced between O and P in uniform magnetic field

Answer»

In I, III and IV only
In Ii, III and IV only
InIII
In all the above

Answer :C
29.

In a solid sphere two small symmetrical cavities are created whose centres lie on a diameter AB of sphere on opposite sides of the centre.

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The gravitational field at the centre of the sphere is zero
The gravitational POTENTIAL at the centre remains unaffected if cavitiesare not PRESENT
A circle at which all points have same potential is in the plane of diameter AB
A circle at which all points have some potential is in the plane perpendicular to the diameter AB

Solution :Due to symmetric mass DISTRIBUTION about centre the gravitational about centre the gravitational field at this point is equal to zero. And equipotential surface is `bot` R to the diameter AB
30.

A point Q lies on the perpendicular bisector of an electric dipole of dipole moment P. If the distance of Q from the dipole is r, then electric field at Q is proportional to

Answer»

`p^(-1) and R^(-2)`
`p and r^(-2)`
`p and r^(-3)`
`p^(2) and r^(-3)`

Answer :A::C::D
31.

The most stable particle in the Baryon group is

Answer»

neutron
PROTON
lamba PARTICLE
sigma particle

Solution :The most STABLE particle in the BARYON group is proton .
32.

Kirchhoff''s junction rule is a reflection of

Answer»

CONSERVATION of current density vector.
conservation of charge.
the fact that the momentum with which a charged particle approaches a JUNCTION is unchanged (as a vector) as the charged particle leaves the junction
the fact that there is no accumulation of CHARGES at a junction

Solution :(B,D) Kirchhoff.s junction law : Algebraic sum of current meeting junction of a ELECTRICAL circuit is zero. Thus, charge is conserved.
At any junction whatever quantity of charge enter in given time similar charge leaves similar time. Means, charge is not COLLECTED at junction.
33.

Consider Experiment II in Section 6.2. a. What would you do to obtain a large deflection of the galvanometer? b. How would you demonstrate the presence of an induced current in the absence of a galvanometer?

Answer»

Solution :a. To obtain a large deflection, ONE or more of the following steps can be taken:
(i) Use a rod made of soft iron INSIDE the COIL `C_(2)` (ii) Connect the coil to a powerful BATTERY, and (III) Move the arrangement rapidly towards the test coil `C_(1)`.
b. Replace the galvanometer by a small bulb. The relative motion between the two coils will cause the bulb to glow and thus demonstrate the presence of an induced current.
34.

(a) A ball, suspended by a thread, swings in a vertical plane so that the magnitudes of its acceleration in the extreme and the lowest positions are equal. Find the maximum deflection of the thread with respect to the vertical. ( b) The kinetic energy of a particle moving in a circle of radius R depens on the distance covered as T = as^(2) , where 'a' is a constant. Find the magnitude of the force acting on the particle as a function of s.

Answer»


Answer :(a) `COS^(-1)((3)/( 5)) `, ( b) ` ( 2 as ) sqrt((s^(2))/( R^(2)) + 1)`
35.

All the edges of a block with parallel faces are unequal . Its longest edge is twice its shortest edge. The ratio of the maximum resistance between parallel faces is :

Answer»

2
4
8
indeterminate UNLESS the length of the THIRD edge is specified

ANSWER :B
36.

Find the emf induced in the coil if it were positioned such that its plane contains the axis of the solenoid.

Answer»

Solution :No EMF is INDUCED in the loop even though the MAGNETIC FIELD in space is CHANGING. This is because no flux is linked with the coil.
37.

When switch is closed , charges on C_(1) and C_(2) are

Answer»

`20muC,0`
`10muC,10muC`
`30muC,10muC`
`0,20muC`

ANSWER :A
38.

When it is most sensitive ?

Answer»

<P>

Solution :When all the four RESISTORS P,Q,R and S are nearly of same magnitude.
39.

In Figure, two light rays go through different paths by reflecting from the various flat surfaces shown. The light waves have a wavelength of 411.0 nm and are initially in phase. What are the (a) smallest and (b) second smallest value of distance L that will put the waves exactly out of phase as they emerge from the region?

Answer»

SOLUTION :(a) 51.38 NM, (B) 154.1 nm
40.

Usually it is the negative charge that is transferred when two bodies are rubbed together. Can you explain. Why?

Answer»

Solution :The ELECTRONS are very light and LOOSELY bound to the ATOMS than the POSITIVE charges.
41.

A 100 muF capacitor is to have an energy content of 50 J in order to opreator a flash lamp . The voltage required to charge the capacitor is

Answer»

500 V
1000 V
1500 V
2000 V

Solution :U =`(1)/(2) rArr Vsqrt((2U)/(C)) = (sqrt(2xx50))/(100 xx 10^(2)) 1000 `V
42.

The electron affinity of the following element can be arranged -

Answer»

`CL GT O gt N gt C`
`Cl gt O gt C gt N`
`Cl gt N gt C gt O`
`Cl gt C gt O gt N`

SOLUTION :`Cl gt O gt C gt N`
43.

The wire star of the previous problem is connected to the circuit at points P and C. Find the equivalent resistance.

Answer»


Solution :The PROBLEM may be SOLVED in stages. First we replace the star connection by an EQUIVALENT resistance shown in Fig. 26.4a, and then by an equivalent resistance shown in Fig. 26.4b. It is evident from considerations of symmetry that the potentials of points H and K are equal and so the connection HK may be removed. We obtain a circuit whose resistance is easily found to be a half of the resistance of either of the two parallel links of THREE conductors.
44.

Jambaji's message included how many tenets?

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20 tenets
30 tenets
29 tenets
50 tenets

Answer :C
45.

Which of the following correctly represents the 1-V characteristic of a solar cell ?

Answer»




ANSWER :B
46.

An electric dipole id placed at the centre of a sphere. Mark the correct answer

Answer»

the flux of the ELECTRIC FIELD through the sphere is zero
the electric field is zero at every POINT of the sphere.
the electric potential is zero everywhere on the sphere.
the electric potential is zero on a CIRCLE on the surface.

Answer :A::D
47.

The range of wavelength of the visible light is

Answer»

`10 Å "to" 100 Å`
`4,000 Å "to" 8,000 Å`
`8,000 Å "to" 10,000 Å`
`10,000 Å "to" 15,000 Å`

SOLUTION :Wavelength of VISIBLE spectrum is `3900 Å– 7800 Å`.
48.

The minmum magnetic dipole moment of electron in hydrogen atom is

Answer»

`(2h)/(2 pi m)`
`(EH)/(4 pi m)`
`(eh)/(pi m)`
0

Answer :B
49.

Unit of permittivity is …….

Answer»

`C^(2)N^(-2)m^(-2)`
`C^(2)N^(-1)m^(-2)`
`C^(2)N^(-1)m^(-1)`
`C^(2)N^(-2)m^(-1)`

SOLUTION :We have `F=(1)/(2pi in_(0))(q_(1)q_(2))/(r^(2)) rArr in_(0)=(q_(1)q_(2))/(4pi Fr^(2))`
`therefore " Unitof " in_(0)=("UNIT of " Q^(2))/(("Unit of F")("Unit of " r^(2)))`
`thereofre` Unit of `in_(0)=(C^(2))/(NM^(2))=C^(2)N^(-1)m^(-2)`
50.

There are two infinite slabs of charge, both of thickness d with the junction lying on the plane x = 0. The slab lying in the range 0 lt x lt d has a uniform charge density +rho and the slab lying in the region – d lt x lt 0 has uniform charge density -rho. Find the Electric field everywhere and plot its variation along the x axis. Note: This can be used to model the variation of electric field in the depletion layer of a p – n junction.

Answer»


Answer :`E=-(rho)/(epsilon_(0))(d+X)""-d LT x le0`
`=-(rho)/(epsilon_(0))(d-x)""0lexltd`
`=0""|x|gt d`
`(##IJA_PHY_V02_C06_E01_058_A01##)`