Kinematics - India Study Solution Test Series | Physics objective questions answers

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

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

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 (provided at the end of hints / solutions) will be published separately (link for which will be provided here) 

Kinematics: Physics Guide and Solution

MCQ Test Series – Set 2 (Q. No. 11-20)

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Question 11: SI unit of velocity is -

a. m/s

b. m/s²

c. m

d. m²/s

Question 12: The acceleration of a train between two stations is shown in the figure below. The maximum speed of the train is -

a. 60 m/s

b. 30 m/s

c. 120 m/s

d. 90 m/s

Question 13: A particle moves a distance x in time t according to equation x = (t + 5)^–1 The acceleration of particle is proportional to -

a. (velocity)^2/3

b. (velocity)^3/2

c. (distance)²

d. (distance)^–2

Question 14: Which of the following quantities can never be negative?

a. acceleration

b. displacement

c. distance travelled

d. work

Question 15: Acceleration-Time graph for a particle moving in a straight line is as shown in figure. Change in velocity of the particle from t= 0 to t = 6s is:

a. 10 m/s

b. 4 m/s

c. 12 m/s

d. 8 m/s

Question 16: The displacement - time graph of a moving object is a straight line. Then -

a. its acceleration may be uniform

b. its velocity may be uniform

c. its acceleration may be variable

d. both its velocity and acceleration may be uniform

Question 17: If the velocity of an object is increasing and changing at a uniform rate then the acceleration of the object is -

a. positive

b. zero

c. negative

d. same as velocity

Question 18: A body dropped from the top of a tower covers a distance 7x in the last second of its journey, where x is the distance covered in the first second. How much time does it take to reach the ground?

a. 3 s

b. 4 s

c. 5 s

d. 6 s

Question 19: A stone falls freely under gravity. The total distance covered by in the last second of its journey is equal to the distance covered by it in first 3 s of its motion. The time for which the stone remains in air is -

a. 5 s

b. 12 s

c. 15 s

d. 8 s

Question 20: The acceleration of a moving object can be found from -

a. area under displacement-time graph

b. slope of displacement-time graph

c. area under velocity-time graph

d. slope of velocity-time graph

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Physics Guide and Solution: KINEMATICS

Solutions of Multiple Choice Questions MCQ Test Series – Set 2 (Q. No.11 –20)

Answer 11: a.  Answer 12: b.  Answer 13: b.  Answer 14: c. 

Answer 15: b. (Hint: Change in velocity = Net area under acceleration-time graph.)

Answer 16: b.  Answer 17: a. 

Answer 18: b.

Answer 19: a.

Answer 20: d. 

Kinematics Syllabus for JEE Main and NEET:

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.

KINEMATICS - More Test Series Questions

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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. 30^O east of north

c. 30^O west of north

d. 60^O 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)

Answer 1: d.  Answer 2: b.  Answer 3: b.

(Hint: v_r = 25 m/s, t = (50 + 50)/25 = 4 s.)   

Answer 4: a. 

Answer 5: c. 

Answer 6: a.  Answer 7: b.  

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

Physical Quantities - Fundamental or Basic, Derived, Supplementary quantities

Units - International System of Units, SI Units, Properties and Definitions, Norms for writing Unit Symbols

Notes on Measurements

Significant Figures and its Rules, Rounding Off a Digit

Types and Definition of Errors, 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).

Addition and Subtraction

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.       

<< Measurements           Error Analysis, Types and Definition of Errors >>

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