Tuesday, April 7, 2015

H C Verma solutions, Introduction to Physics, Objective-I, Chapter-1, Concepts of Physics, Part-I

Introduction to Physics

OBJECTIVE - I

1. Which of the following sets cannot enter into the list of fundamental quantities in any system of units?


(a) length, mass, and velocity,

(b) length, time and velocity,

(c) mass, time and velocity,

(d) length, time and mass.   


ANSWER: (b).  


EXPLANATION: Two qualities of fundamental quantities are,

(a) The fundamental quantities should be independent of each other. In (b), velocity is dependent on length and time.

(b) All other quantities may be expressed in terms of the fundamental quantities. But in (b), the mass of an object can not be expressed in these terms.        



2. A physical quantity is measured and the result expressed as nu where u is the unit used and n is the numerical value. If the result is expressed in various units then

(a) n ∝ size of u

(b) n ∝ u²

(c) n ∝ √u  

(d) n ∝ 1/u.


ANSWER: (d).  


EXPLANATION: Bigger the unit smaller will be the numerical value 'n'. So n is inversely proportional to the size of the unit. i.e. n*u = constant. For example, a distance of 5 km can be expressed as 5000 m, 500000 cm, 5000000 mm. 

5000 m = 5000* 1/1000 km = 5 km

500000 cm = 500000* 1/100000 km = 5 km

5000000 mm = 5000000* 1/1000000 km = 5 km.       



3. Suppose a quantity x can be dimensionally represented in terms of M, L and T, that is [x] = MaLbTc. The quantity mass  

(a) can always be dimensionally represented in terms of L, T, and x,

(b) can never be dimensionally represented in terms of L, T, and x,
(c) maybe represented in terms of L, T, and x if a = 0.
(d) maybe represented in terms of L, T, and x if a ≠ 0.

   

        

ANSWER: (d).  


EXPLANATION:  If a = 0, then the quantity has no mass component, hence it cannot be represented in terms of L, T, and x. If a ≠ 0, then it has a mass component and it can be expressed in terms of L, T, and x. So the option (d) is true.    



4. A dimensionless quantity 

(a) never has a unit,

(b) always has a unit,

(c) may have a unit

(d) does not exist.   


ANSWER: (c).  


EXPLANATION: A dimensionless quantity may or may not have a unit. For example, the angle has a unit as a radian, but it is a dimensionless quantity, while specific gravity is also dimensionless but unitless. Hence, the option (c).       



5. A unitless quantity 

(a) never has a nonzero dimension,

(b) always has a nonzero dimension,

(c) may have a nonzero dimension,

(d) does not exist.   


ANSWER: (a).  


EXPLANATION:  A unitless quantity is also dimensionless. Hence it can never have a nonzero dimension.      



6. ∫  dx/√(2ax-x²) = aⁿ sin⁻¹[x/a - 1].

The value of n is
(a) 0,
(b) -1,
(c) 1,
(d) none of these.
You may use dimensional analysis to solve the problem.


ANSWER: (a).  


EXPLANATION: We assume x as length; hence x has dimensions = [L]. The whole term Sin⁻¹(x/a - 1) is an angle (radian) hence it is dimensionless. In this, (x/a - 1) is the ratio (Sine), hence dimensionless; thus x and a must have the same dimension, that of L. Now, 

[∫  dx/√(2ax-x²)] = [L/√L²] =[L⁰]  and 

[aⁿ Sin⁻¹(x/a -1)] = [Lⁿ] 

Equating the dimensions of both sides,

[L⁰] = [Lⁿ] 

→n = 0.

Hence, the option (a).        

--------------------------------------------------------------   



Click here for all links → kktutor.blogspot.com 





===<<<O>>>===


My Channel on YouTube  →  SimplePhysics with KK


Links to the Chapters





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


iPhone 17 Pro 512 GB: 15.93 cm (6.3″) Display with Promotion up to 120Hz, A19 Pro Chip



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


CHAPTER- 18 - Geometrical Optics

-----------------------------------------------------------------------------------------
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











  

















    



























































































 





































































=====================================




===<<<O>>>===   

Posted by at
Labels: ,

No comments:

Post a Comment

Subscribe to: Post Comments (Atom)