## NEET, IIT JEE Main, AIPMT, KVPY, NTSE : India Study Solution solved Physics Test Series on Kinematics

Welcome to 'India Study Solution’ Physics MCQ Test Series Section, each set containing exclusively selected 10 most important questions with hints & solutions from the chapter KINEMATICS.

Here you get solved MCQ Test Series on Kinematics (syllabus included below), Kinematics Objective questions with solutions, Physics practice questions with hints and answers for preparing NEET, AIPMT, IIT JEE Main, Medical, Dental Entrance Exams, Engineering Entrance Exams; MBBS and Engineering Admission Tests, NTSE, KVPY and other competitive exams.

Kinematics Syllabus:
Frame of reference, Motion in a straight line, Uniform and Non-uniform motion, Average speed and instantaneous velocity, Uniformly accelerated motion, Velocity - Time, Position - Time graphs, Relations for uniformly accelerated motion, Relative velocity, Motion in a plane.
Scalars and Vectors, Vector addition and subtraction, Zero vector, Scalar and vector products, Unit vector, Resolution of a vector, Position and Displacement vector, General vector and notation, Equality of vector, Multiplication of vector and a real number.

Physics Notes and Study Materials with Key Points to remember and important Formulae and more on Kinematics - Motion in a straight line, Uniform and Non-uniform acceleration, Relative velocity, Scalars and Vectors and all topics in syllabus will be published separately (Keep watching ... link will be provided here)

### Kinematics: Physics Guide and Solution

MCQ Test Series – Set 1 (Q. No. 1-10)
Question 1: Which of the following changes when a particle is moving with uniform velocity?
a. Speed
b. Velocity
c. Acceleration
d. Position vector

Question 2: The position - time graph of an object in uniform motion is shown in the adjacent figure, the velocity of the object is -

a. positive
b. negative
c. zero
d. none of these
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Question 3: Two trains are each 50 m long running parallel with each other at speed of 10 m/s and 15 m/s respectively; at what time will they pass each other?
a. 8 s
b. 4 s
c. 2 s
d. 10 s

Question 4: The velocity of a train increases uniformly from 20 km/h to 60 km/h in 4 hour. The distance travelled by the train during this time is -
a. 160 km
b. 180 km
c. 100 km
d. 120 km

Question 5: The displacement of a body is given by
y = a + bt + ct2 – dt4
The initial velocity and acceleration are respectively -
a. b, –4d
b. –b, 2c
c. b, 2c
d. 2c, –4d

Question 6: Displacement has the same unit of -
a. length
b. velocity
c. energy
d. acceleration

Question 7: When a body is dropped from a tower, then there is an increase in its -
a. Mass
b. Velocity
c. Acceleration
d. Potential energy

Question 8: A river is flowing from west to east at a speed of 8 m/min. A man on the south bank of the river, capable of swimming at 20 m/min in still water, wants to swim across the river in the shortest time. He should swim in a direction -
a. due north
b. 30O east of north
c. 30O west of north
d. 60O east of north

Question 9: Which of the following statements is false?
a. Displacement is independent of the choice of origin of the axis.
b. Displacement may or may not be equal to the distance travelled.
c. When a particle returns to its starting point, its displacement is zero.
d. A positive acceleration always corresponds to the speeding up and a negative acceleration always corresponds to the speeding down.

Question 10: The velocity - time graph of an object is shown in the fig. The part of the graph showing zero acceleration is -
a. AB
b. BC
c. CD
d. DE

India Study Solution
Physics Guide and Solution: KINEMATICS

Solutions of Multiple Choice Questions Test Series – Set 1 (Q. No.1 –10)
(Hint: vr = 25 m/s, t = (50 + 50)/25 = 4 s.)

Answer 8: a. (Hint: For shortest time one should swim at right angle to the current of water.)  Answer 9: d.  Answer 10: b.

KINEMATICS - Questions Bank with Answers, More Practice Questions

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## Notes on Significant Figures and its Rules - Units, Measurements, Error Analysis and Dimensions

Units, Measurements, Dimensions and Error Analysis

### significant figures

The significant figures are a measure of accuracy of a particular measurement of a physical quantity. Thus, significant figures indicate the precision of the measurement which depends on the least count of the measuring instrument.
Significant figures in a measurement are those digits in a physical quantity that are known reliably plus the one digit which is uncertain. For example, the thickness of any material measured = 6.45 cm. Among the digits appearing in the value 6.45, 6 & 4 are reliable or certain, while the digit 5 is uncertain.
Significant figures are the number of digits up to which we are sure about their accuracy.
Significant figures don't change if we measure a physical quantity in different units.
Significant figures retained after mathematical operations like addition, subtraction, multiplication and division should be equal to the minimum significant figures involved in any physical quantity in the govern operation.

 Other Topics from this Chapter Errors in Measurement, Error Analysis Dimensions, Dimensional Formulae, Dimensional Equation Dimensional Analysis and its Applications
Rules for Counting (Finding) Significant Figures
v       All non-zero digits are significant. For example, X = 2.345 has four significant figures.
v      The zeros appearing between two non-zero digits are counted in significant figures. For example, 1.023 has four significant figures.
v      The zeros occurring to the left of the last non-zero digit are not significant (insignificant). For example, 0.00123 has three significant figures. The two zeros appearing in the left of 1 are not significant.
v       In a number without decimal, zeros to the right of non-zero digit are not significant (insignificant). However if the same value is recorded on the basis of actual measurement the zeros to the right of non-zero digit becomes significant. For example, L = 20000 m has five significant figures but X = 20000 has only one significant figure.
v       In a number containing decimal, the trailing zeros (present to the right) are significant. For example, 1.500 has four significant figures.
v      The exact number of digits appearing in the mathematical formula of different physical quantities has infinite number of significant figures. For example, perimeter of a square is given by (4 x side). Here, 4 is an exact number and has infinite number of significant figures which can be as 4.0, 4.00, 4.000 etc. as per the requirement.
v      The powers of ten are not counted as significant digits. For example, 1.5 X 107 has only two significant figures 1 & 5.
v      Change in the units of measurement does not change the number of significant figures. For example, distance between points is 1234 m, which has four significant figures. The same can be expressed as 1.234 km or 1234 X 105 cm both having four significant figures.
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Rounding Off a Digit
v  If the insignificant digit to be dropped is less than 5, then the preceding digit is left unchanged. For Example, 5.82 is rounded off to 5.8 since 2 < 5.
v  If the insignificant digit to be dropped is more than 5, then the preceding digit is raised by one. For Example, 5.86 can be rounded off to 5.9 since 6 > 5.
v  If the insignificant digit to be dropped is 5 followed by digits other than zero, then the preceding digit is raised by one. For Example, 5.852 is rounded off to 5.9
v  If the insignificant digit to be dropped is 5 or 5 followed by zeros, then preceding digit is left unchanged, if it is even. For Example, 5.250 is rounded off to 5.2
v  If the insignificant digit to be dropped is 5 or 5 followed by zeros, then the preceding digit is raised by one, if it is odd. For Example, 5.350 is rounded off to 5.4
v  The exact numbers like 2, 3, 4, p appearing in the mathematical formulae of different physical quantities and are known to have infinite significant figures, are rounded off to a limited number of significant figures as per the requirement.

Rules for Algebraic Operations (Arithmetic Operations) with Significant Figures
Certain rules need to be followed while doing arithmetic operations such as addition, multiplication, subtraction with significant figures so that the accuracy can be maintained in the final result (as in the original values or inputs).

If two or more physical quantities are added or subtracted, there should be as many decimal places retained in the final result as are there in the number with the least decimal places. Suppose the numbers to be added or subtracted, the least number of significant digits after decimal is n. Then in the result i.e., after addition or subtraction the number of significant digits after decimal should be n.
Example: 1.1 + 4.54 + 16.084 = 21.724 ⇒ 21.7

Multiplication and Division
If two measured values are multiplied or divided, there should be as many significant figures retained in the final result, as are there in the original number with the least significant figures. For example say, in the measured values to be multiplied or divided the least number of significant digits be n, then in the product or quotient, the number of significant digits should also be n.
Example: 2.2 x 13.222 = 29.088 29
In the above example the least number of significant digits in the measured values are two so, the result when rounded off to two significant digits become 29.

Error Analysis, Errors in Measurement >>

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## JEE Main 2020 Registration started on jeemain.nic.in - Details and Guidelines - How to Apply

### Joint Entrance Examination Main - JEE Main 2020 Registration will start shortly on jeemain.nic.in. Relax… here we have given step by step instructions of how to apply online for NTA JEE Main 2020 January Exam, syllabus, eligibility criteria and more.

JEE Main 2020 Registration:
Joint Entrance Examination, JEE Main 2020 registration for January 2020 examination will start anytime today, September 3, 2019 on jeemain.nic.in. Students interested in taking up engineering courses in IITs, NITs, IIITs and other GFTIs are required to appear for JEE Main 2020 examination.
IIT and other engineering aspirants must be aware that the JEE Main 2020 exam pattern has been revised by National Testing Agency (NTA). As per NTA, the number of questions and their pattern has been revised (see the changes and syllabus as released by NTA by clicking on the link here).
JEE Main 2020 Eligibility:
Students studying in their Class 12 or who have completed their class 12 examinations in Physics, Chemistry, Mathematics and two other subjects are eligible to apply for JEE Main 2020. Please note, students who completed their Class 12 or any other qualifying examination in 2018, 2019 or the ones who would be appearing in 2020 are only eligible for JEE Main 2020 (link given hereunder for list of such exams).
Students who qualified in 2017 are not eligible to appear for JEE Main 2020.
Also, for JEE Main 2020 Paper II, students are required to have qualified in Physics, Chemistry and Mathematics. Instead of the 5 subject rule, the four subject rule is applicable for JEE Main 2020.
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JEE Main 2020 Syllabus:
As per the official website jeemain.nic.in, JEE Main 2020 syllabus is almost same as in Class 11 and Class 12 curriculum for Physics, Chemistry and Mathematics. Here is
JEE Main 2020 Syllabus is for quick reference.

JEE Main 2020 Important Dates:
• Online JEE Main 2020 Registration begins: September 3, 2019
• Last date to apply online: September 30, 2019
• Exam Dates: between January 6 to January 11, 2020 (will be confirmed by NTA later)
Joint Entrance Examination 2020 (Main) aspirants to note that
• Students who are eligible can apply for either / both of the two examinations which would be conducted by NTA. Only the better of the two scores would be considered for final merit list and rank calculation which would be released after JEE Main 2020 II paper result in April, 2020.
• JEE Main 2020 examination to be held in January’20 would be conducted only in Computer Based Test or CBT format. The Paper II, however, would be a pen and paper based test as was the earlier pattern.
• Students are advised to fill the online application forms at the earliest so that he / she can be allotted exam center as per his / her choice.
• The eligibility age limit would be calculated bases the April 2020 examination and there is no upper age limit.
• Students who have qualified the Class 12 or equivalent examination in 2017 or before are not eligible for JEE Main 2020 (Neither January nor April examinations).
JEE Main 2020 - How to Apply Online:
Candidates interested are required to fill the online application form on jeemain.nic.in, once it is released. NTA has released a step by step document on how to fill JEE Main 2020.
The 4 steps to apply are –
1. Registration,
2. Filling online application,
4. Paying the application fees.
To download or check complete information about the Mode of Exam & Questions Pattern, Schedule for Exam & Result, State Eligibility, List and Year of Appearance in Qualifying Exams, Categories with Reservations percentages, NTA JEE (Main) 2020 Application Fees, Details regarding admission to NITs, IIITs, CFTIs, SFIs, State Engineering Colleges for Participating States and other Participating Engineering Colleges / Institutions, click on the link below -

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NEET Counselling 2019: Medical Council Committee released list of eligible candidates to fill in the vacant MBBS seats

## NEET Counselling 2019: Medical Council Committee released list of eligible candidates to fill in the vacant MBBS seats

Medical Council Committee (MCC) releases list of eligible candidates to fill in the vacant MBBS seats left after NEET counselling 2019.

NEET counselling 2019: Among the vacant MBBS seats, several are in IP University, Delhi University (DU) and Aligarh Muslim University (AMU). In the ESIC Medical Institute as well several seats are left vacant and a separate list of candidates eligible for admission to these seats is released.
The Medical Council Committee (MCC) released the list of eligible candidates to fill in the seats left vacant after counselling rounds. Candidates who have qualified the National Eligibility cum Entrance Test (NEET) 2019 and are yet to secure a seat can check the list at mcc.nic.in.
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Among the vacant seats, several are available in the IP University, Delhi University and Aligarh Muslim University. In the ESIC medical institute as well several seats are left vacant and a separate list of candidates eligible for admission to these seats is released.
After conducting three counselling rounds for NEET - based admission, a final mop-up round was conducted earlier for vacant seats. A total of 2,004 students have been allotted colleges under mop-up round.

The counselling process for over 7 lakh candidates who qualified the National Eligibility cum Entrance Test (NEET) 2019 began in June. The qualifying criteria for this category are 50th percentile for the reserved category the minimum marks are 40 percentile.

For those who could not clear the exam this year, NEET 2020 is scheduled to be held on May 3, 2020 (Sunday). This is the second time the National Testing Agency (NTA) will be conducting the NEET. The application process will begin from December 2 and will close on December 31. Interested candidates can apply at — ntaneet.nic.in.
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JEE Main 2020 Registration started on jeemain.nic.in - Details and Guidelines - How to Apply

## Units, Measurements, Error Analysis and Dimensions - Notes on Measurements

In continuation of section wise notes from the chapter Units, Measurements, Dimensions and Error Analysis containing important study materials and more it goes ...

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### Measurement

What is Measurement?
Measurement is the comparison of a quantity with a standard of the same physical quantity. (How do we define Physical Quantity?) In other words, measurement of a physical quantity requires is comparison with an arbitrarily chosen, reference standard which is called unit of that quantity.

Measurement of Large Distances -
Large distances, for example distance between stars, planet are measured by indirect methods. Hence, an indirect method of measurement or making rough estimates of quantities using common observations is equally important.

Parallax Method
Parallax can be defined as the apparent shift in the positron of a body with respect to a specific point on its background with the shift of eye. Let us understand this in this way -
Suppose we want to measure the distance of a very distant planet (P) using Parallax Method, we observe it from two different observatories (L & M) on the earth separated by a distance say, 'b' which is called "basis". Since the planet is too far, both the observatories L & M can be considered at nearly the distance from it.
LP = MP = D (say). Also, 'b' is too less as compared to 'D'.
Thus LM can be approximately considered as an arc of length 'b' of a circle whose center less at P. The radius of the circle is then, D. So, the angle subtended by LM at P can be used to find D using the relation:
q = b / D
Angle q is called the Parallax angle or parallactic angle and it should be taken in radian, not in degree.
After calculating the distance of the planet from the earth using Parallax Method, we can also calculate the size of the planet by using the following relation -
d = Df
Where, the angle f is the angular size or angular diameter of the planet.

Measurement of Very Small Distances -
Besides distance / length of normal magnitudes, we can do direct measurements of very small lengths (minute size) of the scale of molecular size using specific instruments like:

Optical Microscope - works in visible light & can resolve particles up to 10-7 m.

Electron Microscope - uses electron beams focussed by electric and magnetic field, better resolution power than that of optical microscope, can measure as small as 0.6 x 10–10 m.

Tunnelling Microscope - has better resolution power than electron microscope, can measure the size of a molecule.

Volumetric Method - this method is used to estimate the sizes of large molecules e.g., oleic acid.
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Measurement of Mass -
Mass is a measure of the quantity of matter present in a body. It is one of the basic properties of matter. Variations in conditions such as pressure, temperature, location, etc. do not change the mass of an object. We need to employ different methods to measure masses of different ranges. For example -

Mass of Small Objects - We can use common balance, spring balance, pedestal balance etc. to find masses of common objects whereas, to estimate very small masses like molecular mass, we have to use analytical tools like Mass Spectrograph

Mass of Terrestrial Objects - calculated mathematically using Newton’s Law of Gravitation

Table: Range or Order of Masses
 Object Range of Mass (kg) Electron 10–30 Proton 10–27 Uranium atom 10–25 Red Blood Cell 10–13 A Dust Particle 10–9 Rain Drop 10–6 Human Body 102 Boeing 747 Aircraft 108 Moon 1023 Earth 1025 Sun 1030 Milky Way Galaxy 1041

Measurement of Time -
Any periodically recurring event can be used as a clock or as a standard of time. The periodic vibrations produced in a cesium atom serve as the most accurate standard of time. A cesium clock is also known as an Atomic Clock is based on these periodic vibrations. Atomic clocks have a high accuracy of ‘1 part in 1013’ i.e., they lose or gain no more than 3 ms (3x10–6 s) in a year. The national standard time interval ‘second’ and its frequency is maintained with a set of four cesium atomic clocks.

Units, Dimensions, Measurements and Error Analysis - Solved Test Series, Practice Questions