An expression in the form Ax2+Bx+C is called a quadratic expression. It can be factorized as (ax+b)(cx+d). Generally, in examinations, all the constants A, B, C, a, b, c, d are kept as integers. The simple process to factorize the expression is to write the term Bx as a sum of two terms ie. Bx = b'x +b"x. It makes the expression in four terms. Then take the common terms out of the first two terms and the last two terms.
Ax2+Bx+C = Ax2+b'x+b"x+C= (Ax2+b'x) +(b"x+C)
What remains inside the two pairs of brackets is the same linear expressions (Only if b' and b" are chosen judiciously), which are again taken out as common, thus factorizing the expression easily in a simple way. Let us see an example.
6x2+11x+3 = 6x2+9x+2x+3 = 3x(2x+3) +(2x+3) = (2x+3)(3x+1)
But how did we know that breaking 11x in 9x and 2x would give us a common factor of 2x+3. Why didn't we break in pairs as 6x,5x; 7x,4x; 8x,3x or 10x, x.
What did we do, first, we remembered the product of A and C. In this example 6*3 =18. Then we picked that pair of b' and b" which product was the same. Here 9 and 2 give 18 on multiplication, so we picked this pair. But we must remember that the algebraic sum of b'x and b"x should be equal to Bx. We face different situations depending on the signs preceding B and C. We always keep A positive, even if A is -A, the negative is kept outside, keeping the whole expression inside a bracket.
Case I: When all terms are positive
The process is same as in example above. Here numerical value of b'<B and b"<B
Case II: When B is positive but C is negative
As in the expression Ax2+Bx-C. Since multiplication of first and last term is negative, we will have to break B in such a way that the product b'*b" is also negative. It can only be achieved if one of them is positive and the other negative. Let it be b' and -b" ie B=b'-b". Since B is positive, numerical value of b'>b". See in example below.
2x2+x-3 Product of 2 and -3 is -6. So we have to break x in a pair such that their difference is x but product is -6x2 , So start the pair as 2x,-x; 3x,-2x ...... Here we get the desired pair in 2nd trial only ie 3x,-2x, which product is -6 x2 . So we proceed as thus,
2x2+x-3= 2x2+3x-2x-3=x(2x+3)-(2x+3)=(2x+3)(x-1)
Case III: When B and C both are negative
As in expression Ax2-Bx-C. The process will be similar to Case-II except that numerical value of b'<b" which will give B negative in B=b'-b". See the example below.
3x2-2x-8 Product of 3 and -8 is -24. So we break mid term such that difference of their numerical value is 2 and product is 24. We proceed as 1,-3; 2,-4; 3,-5; 4,-6 ... The 4th trial gives us the desired result. Now the factorization is simple as we write,
3x2+4x-6x-8= x(3x+4)-2(3x+4) =(3x+4)(x-2)
Case IV: When B is negative and C is Positive
As in expression Ax2-Bx+C. The process is similar to Case-I. Here too numerical value of b'<B and b"<B. Since the sign before both b' and b" is negative, their product is positive, as is the sign of the product of the first and last term. Let us see the example below.
4x2-15x+9
The product of 4 and 9 is 36. So we break 15 in a pair such that sum of the numerical value of the pair is 15 and product is 36. We start as 14,1; 13,2; 12,3 ...... So in the 3rd trial we get the desired result. Our pair is 12,3. We keep sign before them negative so that their product is positive. Now it is simple to factorize as below.
4x2-12x-3x+9 = 4x(x-3)-3(x-3) =(x-3)(4x-3)
By practice, guessing the pairs in these four cases gets easy. It is very helpful in quickly solving the quadratic equations for their roots.
===<<<O>>>===
Links for the chapter -
Click here for → Newton's Laws of Motion-Exercises(Q. No. 1 to 12)
Solutions - "Concepts of Physics" Part-I and Part-II, by H C Verma
(YouTube Channel - SimplePhysics with KK )
(facebook page - @kktutorblogs)
Links to Chapters:-
CHAPTER-1 - Introduction to Physics
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES (1-10)
EXERCISES (11-19)
CHAPTER-2 - Physics, and Mathematics
Questions for Short Answers
Objective - I
Objective - II
Exercises (1 - 19)
Exercises (20 - 35)
CHAPTER-3 - Kinematics - Rest and Motion
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 10
Exercises - Q 11 to Q 20
Exercises - Q 21 to Q 30
Exercises - Q 31 to Q 40
Exercises - Q 41 to Q 52
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER-4 - The Forces
Questions for Short Answers
Objective - I
Objective - II
Exercises
CHAPTER-5 - Newton's Laws of Motion
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 12
Exercises - Q 13 to Q 27
Exercises - Q 28 to Q 42
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER-6 - Friction
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 10
Exercises - Q 11 to Q 20
Exercises - Q 21 to Q 31
CHAPTER-7 - Circular Motion
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 10
Exercises - Q 11 to Q 20
Exercises - Q 21 to Q 30
CHAPTER-8 - Work and Energy
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 10
Exercises - Q 11 to Q 20
Exercises - Q 21 to Q 30
Exercises - Q 31 to Q 42
Exercises - Q 43 to Q 54
Exercises - Q 55 to Q 64
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 9 - Center of Mass, Linear Momentum, Collision
Questions for Short Answers
Objective - I
Objective - II
EXERCISES Q-1 TO Q-10
EXERCISES Q-11 TO Q-20
EXERCISES Q-21 TO Q-30
EXERCISES Q-31 TO Q-42
EXERCISES Q-43 TO Q-54
EXERCISES Q-55 TO Q-64
CHAPTER- 10 - Rotational Mechanics
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES Q-01 TO Q-15
EXERCISES Q-16 TO Q-30
EXERCISES Q-31 TO Q-45
EXERCISES Q-46 TO Q-60
EXERCISES Q-61 TO Q-75
EXERCISES Q-76 TO Q-86
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 11 - Gravitation
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES Q-01 TO Q-10
EXERCISES Q-11 TO Q-20
EXERCISES Q-21 TO Q-30
EXERCISES Q-31 TO Q-39 (With Extra 40th problem)
CHAPTER- 12 - Simple Harmonic Motion
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-40
EXERCISES - Q-41 TO Q-50
EXERCISES - Q-51 TO Q-58 with EXTRA QUESTIONS Q-59 and Q-60
CHAPTER- 13 - Fluid Mechanics
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-35
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 14 - Some Mechanical Properties of Matter
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q -11 TO Q -20
EXERCISES - Q -21 TO Q -32
CHAPTER- 15 - Wave Motion and Waves on a String
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-40
EXERCISES - Q-41 TO Q-50
EXERCISES - Q-51 TO Q-57
CHAPTER- 16 - Sound Waves
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-40
EXERCISES - Q-41 TO Q-50
EXERCISES - Q-51 TO Q-60
EXERCISES - Q-61 TO Q-70
EXERCISES - Q-71 TO Q-80
EXERCISES - Q-81 TO Q-89
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 17 - Light Waves
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-41
CHAPTER- 18 - Geometrical Optics
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-40
EXERCISES - Q-41 TO Q-50
EXERCISES - Q-51 TO Q-60
EXERCISES - Q-61 TO Q-70
EXERCISES - Q-71 TO Q-79
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 19 - Optical Instruments
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 TO Q-12
EXERCISES - Q-13 TO Q-24
CHAPTER- 20 - Dispersion and Spectra
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES
CHAPTER- 21 - Speed of Light
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 22 - Photometry
Questions for Short Answer
OBJECTIVE-I
OBJECTIVE - II
EXERCISES
-----------------------------------------------------------------------------------------
Shop online at -- AMAZON
Shop online at -- FLIPKART
--------------------------------------------------------------------------------------------------------------------------
Part-II
Solutions - "Concepts of Physics" Part-II, by H C Verma
CHAPTER- 23 - Heat and Temperature
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-34
CHAPTER- 24 - Kinetic Theory of Gases
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q1 to Q10
EXERCISES - Q-11 to Q-20
EXERCISES - Q-21 to Q-30
EXERCISES - Q-31 to Q-40
EXERCISES - Q-41 to Q-50
EXERCISES - Q-51 to Q-62
CHAPTER- 25 - Calorimetry
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 to Q-10
EXERCISES - Q11 to Q-18
CHAPTER- 26 - Laws of Thermodynamics
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 to Q-10
EXERCISES - Q-11 to Q-22
CHAPTER- 27 - Specific Heat Capacities of Gases
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 to Q-10
CHAPTER- 28 - Heat Transfer
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 to Q-10
CHAPTER- 29 - Electric Field and Potential
CHAPTER- 30 - Gauss's Law
CHAPTER- 31 - Capacitors
CHAPTER- 32 - Electric Current in Conductors
CHAPTER- 33 - Thermal and Chemical Effects of Electric Current
CHAPTER- 34 - Magnetic Field
CHAPTER- 35 - Magnetic Field Due to a Current
=====================================
Civil Engineering - What is an economical span in a bridge?
Solutions - "Concepts of Physics" Part-I and Part-II, by H C Verma
(YouTube Channel - SimplePhysics with KK )
(facebook page - @kktutorblogs)
Links to Chapters:-
CHAPTER-1 - Introduction to Physics
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES (1-10)
EXERCISES (11-19)
CHAPTER-2 - Physics, and Mathematics
Questions for Short Answers
Objective - I
Objective - II
Exercises (1 - 19)
Exercises (20 - 35)
CHAPTER-3 - Kinematics - Rest and Motion
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 10
Exercises - Q 11 to Q 20
Exercises - Q 21 to Q 30
Exercises - Q 31 to Q 40
Exercises - Q 41 to Q 52
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER-4 - The Forces
Questions for Short Answers
Objective - I
Objective - II
Exercises
CHAPTER-5 - Newton's Laws of Motion
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 12
Exercises - Q 13 to Q 27
Exercises - Q 28 to Q 42
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER-6 - Friction
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 10
Exercises - Q 11 to Q 20
Exercises - Q 21 to Q 31
CHAPTER-7 - Circular Motion
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 10
Exercises - Q 11 to Q 20
Exercises - Q 21 to Q 30
CHAPTER-8 - Work and Energy
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 10
Exercises - Q 11 to Q 20
Exercises - Q 21 to Q 30
Exercises - Q 31 to Q 42
Exercises - Q 43 to Q 54
Exercises - Q 55 to Q 64
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 9 - Center of Mass, Linear Momentum, Collision
Questions for Short Answers
EXERCISES - Q-1 to Q-10
EXERCISES - Q-11 to Q-22
CHAPTER- 27 - Specific Heat Capacities of Gases
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 to Q-10
CHAPTER- 28 - Heat Transfer
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 to Q-10
(YouTube Channel - SimplePhysics with KK )
(facebook page - @kktutorblogs)
Links to Chapters:-
CHAPTER-1 - Introduction to Physics
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES (1-10)
EXERCISES (11-19)
CHAPTER-2 - Physics, and Mathematics
Questions for Short Answers
Objective - I
Objective - II
Exercises (1 - 19)
Exercises (20 - 35)
CHAPTER-3 - Kinematics - Rest and Motion
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 10
Exercises - Q 11 to Q 20
Exercises - Q 21 to Q 30
Exercises - Q 31 to Q 40
Exercises - Q 41 to Q 52
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER-4 - The Forces
Questions for Short Answers
Objective - I
Objective - II
Exercises
CHAPTER-5 - Newton's Laws of Motion
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 12
Exercises - Q 13 to Q 27
Exercises - Q 28 to Q 42
Shop online at -- AMAZON
Shop online at -- FLIPKART
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 10
Exercises - Q 11 to Q 20
Exercises - Q 21 to Q 31
CHAPTER-7 - Circular Motion
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 10
Exercises - Q 11 to Q 20
Exercises - Q 21 to Q 30
CHAPTER-8 - Work and Energy
Questions for Short Answers
Objective - I
Objective - II
Exercises - Q 1 to Q 10
Exercises - Q 11 to Q 20
Exercises - Q 21 to Q 30
Exercises - Q 31 to Q 42
Exercises - Q 43 to Q 54
Exercises - Q 55 to Q 64
Shop online at -- AMAZON
Shop online at -- FLIPKART
Questions for Short Answers
Objective - I
Objective - II
EXERCISES Q-1 TO Q-10
EXERCISES Q-11 TO Q-20
EXERCISES Q-21 TO Q-30
EXERCISES Q-31 TO Q-42
EXERCISES Q-43 TO Q-54
EXERCISES Q-55 TO Q-64
CHAPTER- 10 - Rotational Mechanics
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES Q-01 TO Q-15
EXERCISES Q-16 TO Q-30
EXERCISES Q-31 TO Q-45
EXERCISES Q-46 TO Q-60
EXERCISES Q-61 TO Q-75
EXERCISES Q-76 TO Q-86
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 11 - Gravitation
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES Q-01 TO Q-10
EXERCISES Q-11 TO Q-20
EXERCISES Q-21 TO Q-30
EXERCISES Q-31 TO Q-39 (With Extra 40th problem)
CHAPTER- 12 - Simple Harmonic Motion
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-40
EXERCISES - Q-41 TO Q-50
EXERCISES - Q-51 TO Q-58 with EXTRA QUESTIONS Q-59 and Q-60
CHAPTER- 13 - Fluid Mechanics
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-35
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 14 - Some Mechanical Properties of Matter
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q -11 TO Q -20
EXERCISES - Q -21 TO Q -32
CHAPTER- 15 - Wave Motion and Waves on a String
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-40
EXERCISES - Q-41 TO Q-50
EXERCISES - Q-51 TO Q-57
CHAPTER- 16 - Sound Waves
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-40
EXERCISES - Q-41 TO Q-50
EXERCISES - Q-51 TO Q-60
EXERCISES - Q-61 TO Q-70
EXERCISES - Q-71 TO Q-80
EXERCISES - Q-81 TO Q-89
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 17 - Light Waves
CHAPTER- 18 - Geometrical Optics
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-40
EXERCISES - Q-41 TO Q-50
EXERCISES - Q-51 TO Q-60
EXERCISES - Q-61 TO Q-70
EXERCISES - Q-71 TO Q-79
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 19 - Optical Instruments
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 TO Q-12
EXERCISES - Q-13 TO Q-24
CHAPTER- 20 - Dispersion and Spectra
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES
CHAPTER- 21 - Speed of Light
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 22 - Photometry
Questions for Short Answer
OBJECTIVE-I
OBJECTIVE - II
EXERCISES
-----------------------------------------------------------------------------------------
Shop online at -- AMAZON
Shop online at -- FLIPKART
--------------------------------------------------------------------------------------------------------------------------
Solutions - "Concepts of Physics" Part-II, by H C Verma
CHAPTER- 23 - Heat and Temperature
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-34
CHAPTER- 24 - Kinetic Theory of Gases
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q1 to Q10
EXERCISES - Q-11 to Q-20
EXERCISES - Q-21 to Q-30
EXERCISES - Q-31 to Q-40
EXERCISES - Q-41 to Q-50
EXERCISES - Q-51 to Q-62
CHAPTER- 25 - Calorimetry
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 to Q-10
EXERCISES - Q11 to Q-18
CHAPTER- 26 - Laws of Thermodynamics
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - IIObjective - II
EXERCISES Q-1 TO Q-10
EXERCISES Q-11 TO Q-20
EXERCISES Q-21 TO Q-30
EXERCISES Q-31 TO Q-42
EXERCISES Q-43 TO Q-54
EXERCISES Q-55 TO Q-64
CHAPTER- 10 - Rotational Mechanics
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES Q-01 TO Q-15
EXERCISES Q-16 TO Q-30
EXERCISES Q-31 TO Q-45
EXERCISES Q-46 TO Q-60
EXERCISES Q-61 TO Q-75
EXERCISES Q-76 TO Q-86
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 11 - Gravitation
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES Q-01 TO Q-10
EXERCISES Q-11 TO Q-20
EXERCISES Q-21 TO Q-30
EXERCISES Q-31 TO Q-39 (With Extra 40th problem)
CHAPTER- 12 - Simple Harmonic Motion
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-40
EXERCISES - Q-41 TO Q-50
EXERCISES - Q-51 TO Q-58 with EXTRA QUESTIONS Q-59 and Q-60
CHAPTER- 13 - Fluid Mechanics
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-35
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 14 - Some Mechanical Properties of Matter
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q -11 TO Q -20
EXERCISES - Q -21 TO Q -32
CHAPTER- 15 - Wave Motion and Waves on a String
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-40
EXERCISES - Q-41 TO Q-50
EXERCISES - Q-51 TO Q-57
CHAPTER- 16 - Sound Waves
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-40
EXERCISES - Q-41 TO Q-50
EXERCISES - Q-51 TO Q-60
EXERCISES - Q-61 TO Q-70
EXERCISES - Q-71 TO Q-80
EXERCISES - Q-81 TO Q-89
Shop online at -- AMAZON
Shop online at -- FLIPKART
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-41
OBJECTIVE - II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-41
CHAPTER- 18 - Geometrical Optics
Questions for Short Answers
OBJECTIVE-I
OBJECTIVE-II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-30
EXERCISES - Q-31 TO Q-40
EXERCISES - Q-41 TO Q-50
EXERCISES - Q-51 TO Q-60
EXERCISES - Q-61 TO Q-70
EXERCISES - Q-71 TO Q-79
Shop online at -- AMAZON
Shop online at -- FLIPKART
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 TO Q-12
EXERCISES - Q-13 TO Q-24
CHAPTER- 20 - Dispersion and Spectra
Questions for Short Answers
OBJECTIVE - I
OBJECTIVE - II
EXERCISES
CHAPTER- 21 - Speed of Light
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES
Shop online at -- AMAZON
Shop online at -- FLIPKART
CHAPTER- 22 - Photometry
Questions for Short Answer
OBJECTIVE-I
OBJECTIVE - II
EXERCISES
Shop online at -- AMAZON
Shop online at -- FLIPKART
Part-II
Solutions - "Concepts of Physics" Part-II, by H C Verma
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 TO Q-10
EXERCISES - Q-11 TO Q-20
EXERCISES - Q-21 TO Q-34
CHAPTER- 24 - Kinetic Theory of Gases
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q1 to Q10
EXERCISES - Q-11 to Q-20
EXERCISES - Q-21 to Q-30
EXERCISES - Q-31 to Q-40
EXERCISES - Q-41 to Q-50
EXERCISES - Q-51 to Q-62
CHAPTER- 25 - Calorimetry
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 to Q-10
EXERCISES - Q11 to Q-18
CHAPTER- 26 - Laws of Thermodynamics
Questions for Short Answer
OBJECTIVE - I
EXERCISES - Q-1 to Q-10
EXERCISES - Q-11 to Q-22
CHAPTER- 27 - Specific Heat Capacities of Gases
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 to Q-10
CHAPTER- 28 - Heat Transfer
Questions for Short Answer
OBJECTIVE - I
OBJECTIVE - II
EXERCISES - Q-1 to Q-10
CHAPTER- 29 - Electric Field and Potential
CHAPTER- 30 - Gauss's Law
CHAPTER- 31 - Capacitors
CHAPTER- 32 - Electric Current in Conductors
CHAPTER- 33 - Thermal and Chemical Effects of Electric Current
CHAPTER- 34 - Magnetic Field
CHAPTER- 35 - Magnetic Field Due to a Current
=====================================
Civil Engineering - What is an economical span in a bridge?
--------------------------------------------------
HC Verma's Concepts of Physics, Chapter-5, Newton's Law's of Motion
Click here for → QUESTIONS FOR SHORT ANSWER
Click here for→ Newton's laws of motion - Objective - I
Click here for → Newton's Laws of Motion - Objective -IIClick here for → Newton's Laws of Motion-Exercises(Q. No. 1 to 12)
Click here for→Newton's Laws of Motion,Exercises(Q.No. 13 to 27)
-------------------------------------------------------------------------------HC Verma's Concepts of Physics, Chapter-4, The Forces
"Questions for short Answers"
Click here for "The Forces" - OBJECTIVE-I
Click here for "The Forces" - OBJECTIVE-II
Click here for "The Forces" - Exercises
--------------------------------------------------------------------------------------------------------------
--------------------------------------------------------------------------------------------------------------
No comments:
Post a Comment