Free online solved Test Series on Units, Dimensions, Measurements and Error Analysis - Physics questions answers for IITJEE, NEET

Physics MCQ Test Series with solutions (each set having 10 solved practice questions) on “Units, Dimensions, Measurements and Error Analysis” to prepare online for IITJEE, AIPMT, NEET, Medical and Engineering Joint Entrance Exams and other competitive examinations.

Physics Guide for NEET, IITJEE: Units, Dimensions, Measurements and Error Analysis (Syllabus)

Syllabus Topics: Units and Dimensions. International System of Units - SI, Fundamental and Derived Units. Dimensional Formulae and Dimensional Equations. Dimensional Analysis and its Applications. Significant figures and rounding off the numbers. Measurement of length, mass, and time. Accuracy, Precision of Instruments and error analysis. 

Physics: Units, Dimensions, Measurements and Error Analysis

MCQ Test Series – Set 3 (Q No 21-30)

Also Read: Notes on Physical World and Quantities, Units, Dimensions, Measurements and Error Analysis

Question 21: In which of the following numerical values, all zeroes are significant?

a. 0.2020    b. 20.2    c. 20.20    d. none of these

Question 22: The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are

a. kgs^-1          b.kgs

c. kgms^-1    d. kgms^-2

Question 23: In an experiment the angles are required to be measured using an instrument. 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half-a-degree (0.5 , then the least count of the instrument is:

a. half minute     b. one degree

c. half degree     d. one minute

Question 24: Which pair do not have equal dimensions?

a. Energy and torque                                         b. Force and impulse   

c. Angular momentum and Planck’s constant   d. Elastic modulus and pressure

Question 25: Pick out the right choice S² = at⁴. Here S is measured in meters, t in second. Then the unit of ‘a’ is-

a. ms^-2     b. ms²

c. m²s⁴       d. m²s^-4

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Question 26: With usual notation, the following equation, said to give the distance covered in the nth second, i.e., S_n = u + a {(2n – 1)/2}  is:

a. numerically correct only     b. dimensionally correct only     c. both dimensionally and numerically only     d. neither numerically nor dimensionally correct 

Question 27: If the units of ML are doubled then the unit of kinetic energy will become – 

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

a. 8 times    b. 16 times

c. 4 times    d. 2 times

Question 28:The values of two resistors are (5.0 ± 0.2) kΩ and (10.0 ± 0.1) kΩ. What is the percentage error in the equivalent resistance when they are connected in parallel?

a. 2%      b. 5%

c. 7%      d. 10%

Question 29:The dimensions of RC is

a. Square of time   b. Square of inverse time

c. Time                  d. Inverse time

Question 30: The velocity of a particle depends upon time according to the relation v = αt + b/(t+g). The dimensions of α, β and  will be -

a. LT^-2, L, T      b. L, T, LT^-2

c. T, L, LT^-2      d. LT^-1, L, T

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Units, Dimensions, Measurements and Error Analysis - More Objective Questions 

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Physics Objective Questions: Projectile Motion - Solved Test Series for preparation of Engineering and Medical Entrance Exams, JEE

Physics expected objective questions, test series with solutions for preparation Medical and Dental Entrance Exams, Engineering Entrance Exams; all JEE, NEET preparation, IIT JEE, and other such competitive exams.

Syllabus

Projectile Motion; Projectile Motion in an inclined plane; Relative Motion between two Projectiles; Motion in two dimensions; Cases of Uniform Velocity and Uniform Acceleration-Projectile Motion; Motion of objects in three dimensional space

Physics Guide: Projectile Motion

Multiple Choice Questions – Set 2 (Q. No. 11-20)

Question 11: two stones having different masses m₁ and m₂ are projected at an angle α and (90⁰ – α) with same speed from same point. The ratio of their maximum heights is:

a. 1 : 1

b. 1 : tan α

c. tan α : 1

d. tan² α : 1

Question 12: In the motion of a projectile freely under gravity its –

a. Total energy is conserved

b. Momentum is conserved

c. Energy and momentum both are conserved

d. None is conserved

Question 13: At the maximum height of a projectile, the velocity and acceleration are –

a. Parallel to each other

b. Anti-parallel to each other

c. Perpendicular to each other

d. Inclined to each other at 45⁰

Question 14: A projectile is thrown with speed 40 ms^-1 at angle θ from horizontal. It is found that projectile is at same height at 1s and 3s. What is the angle of projection?

a. tan^-1 (1/√2)

b. tan^-1 (1/√3)

c. tan^-1 (√3)

d. tan^-1 (√2)

Question 15: A person standing at some distance from a high tree, throws a stone taking aim at a fruit hanging from that tree, and at the same instant of time the fruit begins to fall freely. Of the following statement which is correct?

a. The stone always remains above the falling fruit

b. The stone strikes the fruit if the stone is thrown with a definite minimum velocity

c. The stone moves below the falling stone

d. The stone always hits the fruit

Question 16: The maximum height attained by a projectile is increased by 10% by increasing its speed of projection, without changing the angle of projection. The percentage increase in the horizontal range will be:

a. 20%

b. 15%

c. 10%

d. 5%

Question 17: A bomb is dropped from an aeroplane moving horizontally at constant speed. When air resistance is taken into consideration, the bomb –

a. Falls to earth exactly below the aeroplane

b. Falls to earth behind the aeroplane

c. Falls to earth ahead of the aeroplane

d. Flies with the aeroplane

Question 18: A stone is just dropped from the window of a train moving along a horizontal straight track with uniform speed. The path of the stone is –

a. A parabola for an observer standing by the side of the track

b. A horizontal straight line for an observer inside the train

c. Both of the above are true

d. None of the above is true

Question 19: In a typical projectile motion:

Tangential acceleration at the top most point P of the trajectory is:

a. g

b. g cos θ

c. zero

d. None of these

Question 20: A ball is thrown at an angle θ with the horizontal. Its horizontal range is equal to its maximum height. This is possible only when the value of tan θ is:

a. 4

b. 2

c. 1

d. 0.5

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Projectile Motion - Physics Objective Questions and Solved Test Series 

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Common Final MBBS Exam - National Exit Test NEXT gets Union Cabinet’s approval

Common Final MBBS Exam - National Exit Test (NEXT)

The Union Cabinet has approved a common final MBBS exam across India to be called the National Exit Test (NEXT) and left it to states to decide whether practitioners from alternative health systems may prescribe modern medicines. The Cabinet has also approved an amendment to provide for one year imprisonment and a fine up to Rs 5 lakh for any unauthorised practice of medicine, a move that the health ministry said was intended to address concerns about the safety in healthcare and take strict action against quackery.

The cabinet in a meeting on Wednesday 28th March, chaired by PM Modi, approved these amendments in the National Medical Commission (NMC) bill that seeks to create a new regulatory body for medicine to replace the existing Medical Council of India (MCI).

The amendments follow recommendations by a parliamentary standing committee that had rejected the bill's proposal for a separate national licentiate exam for MBBS doctors to be able to practice medicine. The standing committee had called for the final year MBBS exam to serve as the licentiate exam.

The cabinet has also accepted the standing committee's recommendation that the government regulate fees of up to 50 percent of seats in private medical colleges.

The cabinet has approved an amendment that removes the provision of a 'bridge course' proposed in the original bill to allow practitioners of ayurveda and homeopathy, among other alternative forms of medicine, to prescribe modern medicines.

The amendments also include an increase in the number of state representatives in the NMC - the nominees of states and union territories in the commission have been increased from 3 to 6. The NMC will be made up of 25 members of whom at least 21 will be doctors, the government said.

(Source: The Telegraph, edited)

NEET Biology solved test series - Genetics and Evolution

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Biology (Zoology) Solution and Guide: Evolution
India Study Solution MCQ Test Series – Set 2 (Q. No.11-20)

Question 11: Which ancestor of man for the first time began the bipedal locomotion?

a. Cro-Magnon man

b. Australopithecus

c. Java-ape man

d. Peking man

Question 12: Oparin’s theory is based on –

a. Artificial synthesis

b. Spontaneous generation

c. God’s creation

d. Panspermia

Question 13: The Darwinian variations are –

a. Small and directionless

b. Random and directional

c. Small and directional

d. Random and directionless

Question 14:Chemical origin of life was experimentally supported by –

a. Oparin and Haldane

b. Urey and Miller

c. Francesco and Spallanzani

d. Thales and Plato

Question 15: Common origin of man and chimpanzee is best shown by –

a. Binocular vision

b. Chromosome number

c. Dental formula

d. Cranial capacity

Question 16: Man (Homo) originated in –

a. Palaeocene

b. Miocene

c. Oligocene

d. Pleistocene

Question 17: Industrial melanism was highlighted by –

a. Mimosa pudica

b. Triticum aestivum

c. Biston betularia

d. Rock python

e. Polar bear

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Question 18: 1^st life on earth was –

a. Cyanobacteria

b. Chemoheterotrophs

c. Autotrophs

d. Photoautotrophs

Question 19: Who discovered the use of the weapon and tools first?

a. Homo habilis

b. Handy man

c. Both a and b

d. Homo erectus

Question 20: According to Oparin, which one of the following as not present in the primitive atmosphere of the earth?

a. Methane

b. Oxygen

c. Hydrogen

d. Water vapour

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Biology Guide and Solution : Evolution (Genetics and Evolution)

Solutions of Biology Test Series – Set 2 (Q. No.11 – 20)

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Answer 11: (b).   Answer 12: (a).   Answer 13: (c).   Answer 14: (b).   Answer 15: (b).   Answer 16: (d).   Answer 17: (c).   Answer 18: (b).   Answer 19: (c).   Answer 20: (b).

 Genetics and Evolution - Biology Objective Questions, Test Series 

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