Free online Physics MCQ Test Series, Practice Questions with Solutions on Kinematics for JEE, NEET, IIT, AIPMT

Welcome back to 'India Study Solution’ Physics MCQ Test Series / Practice Questions Section, This section contains MCQ and Objective Test Series each set containing 10 most important questions with hints & solutions from the chapter KINEMATICS (syllabus included below).

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 3 (Q. No.21-30)

Question 21: The speed-time graph of an object moving along a solid curve is shown in the adjacent fig. The distance traversed by the object from t - 0 to t = 3 is -

a. 10/2 m

b. 10/4 m

c. 10/3 m

d. 10/5 m

Question 22: The slope of velocity-time graph for uniform motion of an object is -

a. unity

b. zero

c. infinite

d. more than unity with some finite value

Question 23: A point mass starts moving in a straight line with constant acceleration f from rest at t =0. At time t = 2s, the acceleration changes the sign, remaining the same in magnitude. The mass returns to the initial position at time t = t₀ after start of motion. Here t₀ is:

a. 4s

b. (4 + 2√2)s

c. (2 + 2√2)s

d. (4 + 4√2)s

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Question 24: The displacement of a body is given by s = (gt²)/2, where ‘g’ is acceleration due to gravity. The velocity of the body at any instant ‘t’ is given by -  

a. (gt³)/6

b. (gt²)/2

c. gt

d. (gt)/2

Question 25: Two particles start from rest simultaneously and are equally accelerated. Throughout the motion, the relative velocity of one with respect to other is -   

a. zero

b. non-zero and directed parallel to acceleration

c. non-zero and directed opposite to acceleration

d. directed perpendicular to the acceleration

Question 26: A particle moves with uniform acceleration and v₁, v₂ and v₃ denote the average velocities in the three successive intervals of time t₁, t₂ and t₃. Which of the following relations is correct?

a. (v₁ – v₂) : (v₂ – v₃) = (t₁ – t₂) : (t₂ + t₃)

b. (v₁ – v₂) : (v₂ – v₃) = (t₁ + t₂) : (t₂ + t₃)

c. (v₁ – v₂) : (v₂ – v₃) = (t₁ – t₂) : (t₁ – t₃)

d. (v₁ – v₂) : (v₂ – v₃) = (t₁ – t₂) : (t₂ – t₃)

Question 27: The vertical height of point P above the ground is twice of that of Q. A stone is projected downward with a speed of 5 m/s from P and at the same time another stone is projected upward with the same speed from Q. Both stone reach the ground simultaneously, then -

a. PQ = 30 m

b. Time of flight of stones = 3 s

c. Both (a) and (b) are correct

d. Both (a) and (b) are wrong

Question 28: Which of the following position-time graphs shows an object moving with negative acceleration?

Question 29: The total vertical distance covered by a freely falling body in a given time is directly proportional to -

a. time

b. square of time

c. square of acceleration due to gravity

d. product of the time and acceleration due to gravity

Question 30: A 100 m long train crosses a man travelling at 5 km/h, in opposite direction, in 7.2 s, then the velocity of the train is -

a. 40 km/s

b. 25 km/s

c. 20 km/s

d. 45 km/s

India Study Solution

Physics Guide and Solution: KINEMATICS

Hints & Solutions of Practice Questions / MCQ Test Series – Set 3 (Q. No.21–30)

Answer 21: b.  Answer 22: b. 

Answer 23: b. 

Answer 24: c. 

Answer 25: a. (Hint: They will have the same velocity at all instants and hence, their relative velocity is zero.)

Answer 26: b. 

Answer 27: c.

Answer 28: c.  Answer 29: b.

Answer 30: 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.

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KINEMATICS - India Study Solution Test Series Questions

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Error Analysis, Classification, Types and Definition of Errors | Free online notes, study materials on Physics for NEET, JEE, AIPMT, IIT

No measurement is perfect. Measured value of a physical quantity is always different from the true value. The difference between true and measured value of a physical quantity is termed Error. The errors involved in measurement cannot be removed completely.
Two important terms measurement and error are - Accuracy, Precision and Discrepancy

Accuracy: This indicates how close the measured value is to the true value of the quantity. Accuracy increases with reducing errors. This means as we reduce the errors, the measurement becomes more accurate.

Precision: This indicates as to what resolution or limit a quantity has been measured. It is not necessary that a more precise value will also be more accurate.

Discrepancy: The difference between the two measured values of a physical quantity is known as discrepancy.

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

ERROR ANALYSIS | CLASSIFICATION OF ERRORS | TYPES & DEFINITION OF ERRORS

Classification of errors can be done in two ways. First, based on the cause of errors such as - Systematic Errors and Random Errors. Second classification is based on the magnitude or size of errors such as - Absolute Error, Mean Absolute Error, Relative or Functional Error, Percentage Error.

Systematic Errors

These are the errors that happen because of various causes which are known to us. A systematic error can, therefore, be minimised. Systematic errors may be due to imperfect technique, alteration of the quantity being measured, carelessness or mistakes on the past of observer. These errors occur in one direction only hence, either positive or negative. If the measured value is greater than the true value, the error is said to be positive and if the measured value is lesser than the true value then it will be said as negative. Systematic errors can be of following types -
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Instrumental Error

These errors arise when the measuring instrument or apparatus itself has some defect in it such as:  improper calibration, defect in designing, zero error (in vernier calipers or screw gauge or meter scale). An instrument error is a constant type of error. These errors can be minimised by using more accurate instruments, applying zero correction, as required.

Observational or Personal Error

Such errors are caused mostly due to carelessness or casual behaviour of an observer. For example, if an observer while reading the volume of water in a beaker becomes casual and keeps his eyes below the meniscus, his reading will be wolf because of Parallax. Also termed as Gross Error, may be due (i) negligence towards sources of error due to overlooking of sources of error by the observer, (ii) the observer, without carrying for last count goes on taking wrong observations, (iii) wrong recording of observation, etc.

Error due to Imperfection and Unavoidable Conditions

As the name suggests these errors are due to the external conditions or due to ignoring certain facts. For example, errors due to changes in temperature, pressure, humidity, air resistance etc. may sometimes affect the final result for not taking these factors into consideration. However, these errors can also be reduced by applying proper corrections to the formula used.

How to minimise Systematic Errors

Systematic errors can be minimised by more accurate instruments, and improved experimental techniques. One should take proper precautions and remain unbiased as far as possible while doing experiments. Further, necessary corrections should be done for the instruments having zero errors after talking readings.

Random Errors

The errors arise due to unknown causes. Random errors would occur irregularly and can have any sign - positive or negative. The magnitude or the size of such errors can also vary randomly.  Since the causes of random errors are not known so, it is not possible to remove them completely.

Least Count Error

The smallest value of the measurement that can be directly taken from a measuring instrument is called the least count (LC) or resolution of the instrument. LC error can arise and depends on the precision provided by the measuring instrument. Thus last count error is another type of constant error and can be reduced by using high precision instruments along with improved experimental techniques. (Please find in our separate post - Formula for How to calculate LC of vernier callipers, screw gauge in Errors in Measurement)

Absolute Error

The magnitude of the difference between the true value and the measured value is called absolute error. It is always positive.

Mean Absolute Error

The arithmetic mean of the magnitudes of individual absolute errors is called the mean absolute error. Thus,

Relative or Fractional Error

The relative error or fractional error is the ratio of the mean absolute error Da_mean to the mean value of the quantity measured.

Percentage Error

The relative error expressed in percentage is Percentage Error. It is denoted by da.

Standard Error

The errors which take into account all the factors affecting the accuracy of result, is known as the Standard Error.

Probable Error

The errors calculated by using the principle of probability, are Probable Errors. According to Bessels Formula, 

<< Significant Figures,Rounding Off, Rules for Algebraic Operations

 Combination of Errors, Errors in Measurement >>

Improve your Performance & Confidence through our solved Test Series -

'India Study Solution MCQ & Objective Test Series’ with each set containing solved 10 important questions for practice from Units, Dimensions, Measurements and Error Analysis

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

India Study Solution

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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