Friday, 5 February 2021

unit I (notes) BScHSc III Sem 2021

 

Electricity and personal safety:

Concept of ac and dc voltage

 

Direct current (DC) is the flow of electric charge in only one direction. It is the steady state of a constant-voltage circuit. Most well-known applications, however, use a time-varying voltage source. Alternating current (AC) is the flow of electric charge that periodically reverses direction.

Electricity requires a complete path (circuit) to continuously flow.  This is why the shock received from static electricity is only a momentary jolt: the flow of current is necessarily brief when static charges are equalized between two objects. Shocks of self-limited duration like this are rarely hazardous.

Without two contact points on the body for current to enter and exit, respectively, there is no hazard of shock. This is why birds can safely rest on high-voltage power lines without getting shocked: they make contact with the circuit at only one point.

In order for current to flow through a conductor, there must be a voltage present to motivate it. Voltage, as you should recall, is always relative between two points. There is no such thing as voltage “on” or “at” a single point in the circuit, and so the bird contacting a single point in the above circuit has no voltage applied across its body to establish a current through it. Yes, even though they rest on two feet, both feet are touching the same wire, making them electrically common. Electrically speaking, both of the bird’s feet touch the same point, hence there is no voltage between them to motivate current through the bird’s body.

This might lead one to believe that it’s impossible to be shocked by electricity by only touching a single wire. Like the birds, if we’re sure to touch only one wire at a time, we’ll be safe, right? Unfortunately, this is not correct. Unlike birds, people are usually standing on the ground when they contact a “live” wire. Many times, one side of a power system will be intentionally connected to earth ground, and so the person touching a single wire is actually making contact between two points in the circuit (the wire and earth ground):

The ground symbol is a set of three horizontal bars of decreasing width located at the lower-left of the circuit shown, and also at the foot of the person being shocked. In real life, the power system ground consists of some kind of metallic conductor buried deep in the ground for making maximum contact with the earth. That conductor is electrically connected to an appropriate connection point on the circuit with thick wire. The victim’s ground connection is through their feet, which are touching the earth.

Personal Safety with “grounding”

the presence of an intentional “grounding” point in an electric circuit is intended to ensure that one side of it is safe to come in contact with. Note that if our victim in the above diagram were to touch the bottom side of the resistor, nothing would happen even though their feet would still be contacting ground:

Because the bottom side of the circuit is firmly connected to ground through the grounding point on the lower-left of the circuit, the lower conductor of the circuit is made electrically common with earth ground. Since there can be no voltage between electrically common points, there will be no voltage applied across the person contacting the lower wire, and they will not receive a shock. For the same reason, the wire connecting the circuit to the grounding rod/plates is usually left bare (no insulation), so that any metal object it brushes up against will similarly be electrically common with the earth.

Circuit grounding ensures that at least one point in the circuit will be safe to touch. But what about leaving a circuit completely ungrounded? Wouldn’t that make any person touching just a single wire as safe as the bird sitting on just one? Ideally, yes. Practically, no. Observe what happens with no ground at all:

rubber-soled shoes do indeed provide some electrical insulation to help protect someone from conducting shock current through their feet. However, most common shoe designs are not intended to be electrically “safe,” their soles being too thin and not of the right substance. Also, any moisture, dirt, or conductive salts from body sweat on the surface of or permeated through the soles of shoes will compromise what little insulating value the shoe had to begin with. There are shoes specifically made for dangerous electrical work, as well as thick rubber mats made to stand on while working on live circuits, but these special pieces of gear must be in the absolutely clean, dry condition in order to be effective. Suffice it to say, normal footwear is not enough to guarantee protection against electric shock from a power system.

 

frequency“Hz” stands for the unit Hertz.

It is the measure of how rapidly alternating current alternates, otherwise known as frequency. So, the column of figures labeled “60 Hz AC” refers to a current that alternates at a frequency of 60 cycles (1 cycle = period of time where current flows in one direction, then the other direction) per second. The last column, labeled “10 kHz AC,” refers to alternating current that completes ten thousand (10,000) back-and-forth cycles each and every second.


Safety devices in use of electricity :fuse,

earthing, earthing methods, circuit breakers, MCBs (Miniature Circuit Breakers) for domestic safety

   
What is a Fuse?

A fuse is an electrical safety device built around a conductive strip that is designed to melt and separate in the event of excessive current. Fuses are always connected in series with the component(s) to be protected from overcurrent, so that when the fuse blows (opens) it will open the entire circuit and stop current through the component(s). A fuse connected in one branch of a parallel circuit, of course, would not affect current through any of the other branches.

Normally, the thin piece of fuse wire is contained within a safety sheath to minimize hazards of arc blast if the wire burns open with violent force, as can happen in the case of severe overcurrents. In the case of small automotive fuses, the sheath is transparent so that the fusible element can be visually inspected. Residential wiring used to commonly employ screw-in fuses with glass bodies and a thin, narrow metal foil strip in the middle. A photograph showing both types of fuses is shown here:

 

What is earthing?

Why Earthing is Important?

The primary purpose of earthing is to avoid or minimize the danger of electrocution, fire due to earth leakage of current through undesired path and to ensure that the potential of a current carrying conductor does not rise with respect to the earth than its designed insulation.

When the metallic part of electrical appliances (parts that can conduct or allow passage of electric current) comes in contact with a live wire, maybe due to failure of installations or failure in cable insulation, the metal become charged and static charge accumulates on it. If a person touches such a charged metal, the result is a severe shock.

To avoid such instances, the power supply systems and parts of appliances have to be earthed so as to transfer the charge directly to the earth. This is why we need Electrical Earthing or Grounding in electrical installation systems.

 

The basic needs of Earthing.

·         To protect human lives as well as provide safety to electrical devices and appliances from leakage current.

·         To keep voltage as constant in the healthy phase (If fault occurs on any one phase).

·         To Protect Electric system and buildings form lighting.

·         To serve as a return conductor in electric traction system and communication.

·         To avoid the risk of fire in electrical installation systems.

 

Proper way of Earthing.

·         Earth pin of 3-pin lighting plug sockets and 4-pin power plug should be efficiently and permanently earthed.

·         All metal casing or metallic coverings containing or protecting any electric supply line or apparatus such as GI pipes and conduits enclosing VIR or PVC cables, iron clad switches, iron clad distribution fuse boards etc should be earthed (connected to earth).

·         The frame of every generator, stationary motors and metallic parts of all transformers used for controlling energy should be earthed by two separate and yet distinct connections with the earth.

·         In a dc 3-wire system, the middle conductors should be earthed at the generating station.

·         Stay wires that are for overhead lines should be connected to earth by connecting at least one strand to the earth wires.

 

What is a Circuit Breaker?

Circuit breakers are specially designed switches that automatically open to stop current in the event of an overcurrent condition. Small circuit breakers, such as those used in residential, commercial and light industrial service are thermally operated. They contain a bimetallic strip (a thin strip of two metals bonded back-to-back) carrying circuit current, which bends when heated. When enough force is generated by the bimetallic strip (due to overcurrent heating of the strip), the trip mechanism is actuated and the breaker will open. Larger circuit breakers are automatically actuated by the strength of the magnetic field produced by current-carrying conductors within the breaker, or can be triggered to trip by external devices monitoring the circuit current (those devices being called protective relays).

Because circuit breakers don’t fail when subjected to overcurrent conditions—rather, they merely open and can be re-closed by moving a lever—they are more likely to be found connected to a circuit in a more permanent manner than fuses. A photograph of a small circuit breaker is shown here:

 Miniature Circuit Breakers (MCBs)

All fuses need to be replaced with MCB for better safety and control when they have done their job in the past. Unlike a fuse, an MCB operates as automatic switch that opens in the event of excessive current flowing through the circuit and once the circuit returns to normal, it can be reclosed without any manual replacement. MCBs are used primarily as an alternative to the fuse switch in most of the circuits. A wide variety of MCBs have been in use nowadays with breaking capacity of 10KA to 16 KA, in all areas of domestic, commercial and industrial applications as a reliable means of protection.

MCBs are of time delay tripping devices, to which the magnitude of overcurrent controls the operating time. This means, these get operated whenever overload exist long enough to create a danger to the circuit being protected. Therefore, MCBs doesn’t respond to transient loads such as switches surges and motor starting currents. Generally, these are designed to operate at less than 2.5 milliseconds during short circuit faults and 2 seconds to 2 minutes in case of overloads (depending on the level of current).

Tuesday, 5 January 2021

To Determine Radius of curvature of Plano convex lens by Newton's Rings experiment

Aim : To Determine Radius of curvature of Plano convex lens by Newton's Rings experiment
Apparatus : Traveling microscope, Newton's Rings set up , Source of monochromatic sodium light etc.
Formula :        

Diagram : 


Procedure : 

1) Keep the Newton's Rings set up Grating on prism table of the spectrometer and observe the Principal Maxima through telescope.
2) Rotate the telescope on either side(R.H.S.) of Principle maxima, the first order maxima will be observed. Measure the angle from W1 and W2.
3) Rotate the telescope again on same side so that the second order  maxima, will be observed. Measure the angle from W1 and W2.
4) Rotate the telescope on other side of Principle maxima, the first order maxima will be observed identical with the first observed maxima. Measure the angle from say W1' and W2'.
5) Rotate the telescope again on same side (i.e other side L.H.S) so that the second order  maxima from other side will be observed. Measure the angle from say W1' and W2'.
6) Calculate the first order and second order maxima with the help of observation table.
7) Now Calculate the wavelength of Sodium Source for first order and second order maxima.



Observation Table :
  
Order of spectrum
Window No.
RHS Spectrum
(P)
LHS Spectrum
 (Q)
Angle of Diffraction

MSR
VSR
VSRX LC
TR
MSR
VSR
VSRX LC
TR
(P~Q)/2
I
W1
W2
II
W1
W2
Result :  The  Wavelength of Sodium Source is  _____ .
Precautions :
1) Slit should be narrow and bright
2) The axis of telescope , collimeter and prism should be horizontal.
3) Both windows vernier scales should be set so that the error due to rotation of telescope should be eliminated.




Friday, 1 January 2021

Unit I - Physics- Homescience- I sem

 Unit-I 

Measurements and units:

Definition of Physics

Physics is the natural science that studies matter, its motion and behavior through space and time, and the related entities of energy and force.

Need of physics

Physics helps us to organize the universe.

 It deals with fundamentals, and helps us to see the connections between seemly disparate phenomena. 

Physics gives us powerful tools to help us to express our creativity, to see the world in new ways and then to change it.

Physical quantities

A physical quantity is a property of a material or system that can be quantified by measurement. 

A physical quantity can be expressed as the combination of a numerical value and a unit. For example, the physical quantity mass can be quantified as n kg, where n is the numerical value and kg is the unit. 

A physical quantity possesses at least two characteristics in common, one is numerical magnitude and other is the unit in which it is measured.

Necessity of measurement of quantities

Measurements require tools and provide scientists with a quantity. A quantity describes how much of something there is or how many there are. 

There are several properties of matter that scientists need to measure, but the most common properties are length and mass.


FPS, CGS, MKS and SI systems of units 

The full form of four systemss of units used in measurements are

MKS system – Meter kilogram second system

In the MKS system, fundamental units are Meter, kilogram and second.

CGS system – Centimeter Gram Second system

In the CGS system, fundamental units are Centimeter, Gram and second

FPS system – Foot Pound second system

In the FPS system, fundamental units are Foot, Pound and second.

Features of each system of units and comparison of these systems of units

A system of measurement is a collection of units of measurement and rules relating them to each other. Systems of measurement have historically been important, regulated and defined for the purposes of science and commerce. Systems of measurement in use include the International System of Units (SI), the modern form of the metric system, the British imperial system, and the United States customary system.


Necessity of a SI system of units

Each system of unit should have relation between the other systems of unit. 

Temperature has been converted in other systems.


 Concept of least count of a measuring instrument

In the science of measurement, the least count of a measuring instrument is the smallest and accurate value in the measured quantity that can be resolved on the instrument's scale.

In the science of measurement, the least count of a measuring instrument is the smallest and accurate value in the measured quantity that can be resolved on the instrument's scale.

For example, a sundial may only have scale marks representing the hours of daylight; it would have a least count of one hour. A stopwatch used to time a race might resolve down to a hundredth of a second, its least count. The stopwatch is more precise at measuring time intervals than the sundial because it has more "counts" (scale intervals) in each hour of elapsed time. Least count of an instrument is one of the very important tools in order to get accurate readings of instruments like vernier caliper and screw gauge used in various experiments.

Significant figure
various types of errors, their origins and the ways to minimize them. Our accuracy is limited to the least count of the instrument used during 
the measurement. Least count is the smallest measurement that can be made using the given instrument.
 For example with the usual metre 
scale, one can measure 0.1 cm as the least value. 
Hence its least count is 0.1cm.
Suppose we measure the length of a metal rod using a metre scale of least count 0.1cm. 
The measurement is done three times and the readings are 15.4, 15.4, and 15.5 cm.
 The most probable length which is the arithmetic mean as 
per our earlier discussion is 15.43. Out of this we are certain about the digits 1 and 5 but are not certain about the last 2 digits because of the 
least count limitation.
The number of digits in a measurement about which we are certain, plus one additional 
digit, the first one about which we are not certain is known as significant figures or significant 
digits.
Thus in above example, we have 3 
significant digits 1, 5 and 4.
The larger the number of significant figures 
obtained in a measurement, the greater is the accuracy of the measurement. If one uses the 
instrument of smaller least count, the number of significant digits increases.

Rules for determining significant figures
 1) All the nonzero digits are significant, 
for example if the volume of an object is 
178.43 cm3
, there are five significant digits 
which are 1,7,8,4 and 3. 
 2) All the zeros between two nonzero digits 
are significant, eg., m = 165.02 g has 5 
significant digits.
 3) If the number is less than 1, the zero/zeroes 
on the right of the decimal point and to 
the left of the first nonzero digit are not 
significant e.g. in 0.001405, the underlined 
zeros are not significant. Thus the above 
number has four significant digits.
 4) The zeros on the right hand side of the last 
nonzero number are significant (but for 
this, the number must be written with a 
decimal point), e.g. 1.500 or 0.01500 have 
both 4 significant figures each.

Concept and definition of scalar and vector quantities

A quantity which does not depend on direction is called a scalar quantity. 
Vector quantities have two characteristics, a magnitude and a direction. 
Scalar quantities have only a magnitude. When comparing two vector quantities of the same type, you have to compare both the magnitude and the direction.


Tuesday, 22 December 2020

Unbalanced reaction to balance with answers key

 Q balance the following reactions 

  1. NaH2PO4 -> NaPO3 + H2O
  2. H2CO3 -> H2O + CO2
  3. BaSO4 + H2SO4 -> Ba(HSO4)2
  4. CaCO3 -> CaO + CO2
  5. CaO + H2O -> Ca(OH)2
  6. H2SO3 -> H2O + SO2
  7. H3PO4 + Ca(OH)2 -> CaHPO4.2H2O
  8. NaPO3 + CuO -> NaCuPO4
  9. SO3 + H2O -> H2SO4
  10. Be(OH)2 -> BeO + H2O
  11. BaO + H2O -> Ba(OH)2
  12. Na2SO3 + S -> Na2S2O3
  13. SO2 + H2O -> H2SO3
  14. Li2O + H2O -> LiOH
  15. Na2HPO4 -> Na4P2O7 + H2O
  16. H4As2O7 -> As2O5 + H2O
  17. CaC2 + N2 -> CaCN2 + C
  18. Mg(OH)2 -> (MgOH)2O + H2O
  19. HAsO3 -> As2O5 + H2O
  20. KHSO4 -> K2S2O7 + H2O
  21. H3PO4 -> H4P2O7 + H2O
  22. NaCl + NH4HCO3 -> NaHCO3 + NH4Cl
  23. HAsO2 -> As2O3 + H2O
  24. UO3 + H2 -> UO2 + H2O
  25. CdSO4 + H2S -> CdS + H2SO4
Answers Key
  1. Balanced
  2. Balanced
  3. Balanced
  4. Balanced
  5. Balanced
  6. Balanced
  7. Balanced
  8. Balanced
  9. Balanced
  10. Balanced
  11. Balanced
  12. Balanced
  13. Balanced
  14. Li2O + H2O -> 2LiOH
  15. 2Na2HPO4 -> Na4P2O7 + H2O
  16. H4As2O7 -> As2O5 + 2 H2O
  17. CaC2 + N2 -> CaCN2 + 2C
  18. 2Mg(OH)2 -> (MgOH)2O + H2O
  19. 2HAsO3 -> As2O5 + H2O
  20. 2KHSO4 -> K2S2O7 + H2O
  21. 2H3PO4 -> H4P2O7 + H2O
  22. Balanced
  23. 2HAsO2 -> As2O3 + H2O
  24. Balanced
  25. Balanced

Wednesday, 16 December 2020

MCQs on Complex no, class 11th

Instructions
  • Each question carry 2 Marks
  • Total 40 marks test, 20 questions
  • Time- 90 minutes
  • Answer key will be provided after the exam get over

Q1) The value of √(-121)  is

(a) -11i

(b) 11i

(c) -12i

(d) 12i

Q2)  The value of √(-441) is

(a) 21i

(b) -21i

(c) ±21i

(d) All of these

Q3) The value of √(-25) + 3√(-4) + 2√(-9) is

(a) 13i

(b) -13i

(c) 17i

(d) -17i

Q4)  If z lies on |z| = 1, then 2/z lies on

(a) a circle

(b) an ellipse

(c) a straight line

(d) a parabola

Q5)  If ω is an imaginary cube root of unity, then (1 + ω – ω²)7 equals

(a) 128 ω

(b) -128 ω

(c) 128 ω²

(d) -128 ω²

Q6)  The least value of n for which {(1 + i)/(1 – i)}n is real, is
(a) 1
(b) 2
(c) 3
(d) 4

Q7)  Let z be a complex number such that |z| = 4 and arg(z) = 5π/6, then z =
(a) -2√3 + 2i
(b) 2√3 + 2i
(c) 2√3 – 2i
(d) -√3 + i

Q8)  The value of i-999 is
(a) 1
(b) -1
(c) i
(d) -i

Q9)  Let z1 and z2 be two roots of the equation z² + az + b = 0, z being complex. Further assume that the origin, z1 and z1 form an equilateral triangle. Then
(a) a² = b
(b) a² = 2b
(c) a² = 3b
(d) a² = 4b

Q10)  The complex numbers sin x + i cos 2x are conjugate to each other for
(a) x = nπ
(b) x = 0
(c) x = (n + 1/2) π
(d) no value of x

Q11) The curve represented by Im(z²) = k, where k is a non-zero real number, is
(a) a pair of striaght line
(b) an ellipse
(c) a parabola
(d) a hyperbola

Q12)  The value of x and y if (3y – 2) + i(7 – 2x) = 0
(a) x = 7/2, y = 2/3
(b) x = 2/7, y = 2/3
(c) x = 7/2, y = 3/2
(d) x = 2/7, y = 3/2

Q13) Find real θ such that (3 + 2i × sin θ)/(1 – 2i × sin θ) is imaginary
(a) θ = nπ ± π/2 where n is an integer
(b) θ = nπ ± π/3 where n is an integer
(c) θ = nπ ± π/4 where n is an integer
(d) None of these

Q14) If {(1 + i)/(1 – i)}n = 1 then the least value of n is
(a) 1
(b) 2
(c) 3
(d) 4

Q15) If arg (z) < 0, then arg (-z) – arg (z) =
(a) π
(b) -π
(c) -π/2
(d) π/2

Q16) if x + 1/x = 1 find the value of x2000 + 1/x2000 is
(a) 0
(b) 1
(c) -1
(d) None of these

Q17) The value of √(-169) is
(a) 13i
(b) -13i
(c) ±13i
(d) None of these

Q18) If the cube roots of unity are 1, ω, ω², then the roots of the equation (x – 1)³ + 8 = 0 are
(a) -1, -1 + 2ω, – 1 – 2ω²
(b) – 1, -1, – 1
(c) – 1, 1 – 2ω, 1 – 2ω²
(d) – 1, 1 + 2ω, 1 + 2ω²

Q19)  (1 – w + w²)×(1 – w² + w4)×(1 – w4 + w8) × …………… to 2n factors is equal to
(a) 2n
(b) 22n
(c) 23n
(d) 24n

Q20) The modulus of 5 + 4i is
(a) 41
(b) -41
(c) √41
(d) -√41





Tricks

Test series Chemistry 12th Chapter 1 and 2

          Pathak’s Academy Spectrum TEST SERIES: CHEMISTRY Chapters 1,2 Section A Q.no.1) Multiple choice question     7M i) In body cente...