Mathematical Tools For Physics Class 11th Pdf

Download CBSE Class 11 Physics Mathematical Tools Notes Set B in PDF format. All Revision notes for Class 11 Physics have been designed as per the latest syllabus and updated chapters given in your textbook for Physics in Standard 11. Our teachers have designed these concept notes for the benefit of Grade 11 students. You should use these chapter wise notes for revision on daily basis. These study notes can also be used for learning each chapter and its important and difficult topics or revision just before your exams to help you get better scores in upcoming examinations, You can also use Printable notes for Class 11 Physics for faster revision of difficult topics and get higher rank. After reading these notes also refer to MCQ questions for Class 11 Physics given our website

Mathematical Tools Class 11 Physics Revision Notes

Class 11 Physics students should refer to the following concepts and notes for Mathematical Tools in standard 11. These exam notes for Grade 11 Physics will be very useful for upcoming class tests and examinations and help you to score good marks

Mathematical Tools Notes Class 11 Physics

MATHEMATICAL TOOLS

Physical constants:-

1. Mass of an electron (M_e) = 9.1x10^-31kg.

2. Mass of a proton ( M_p) = 1.6725 x 10^-27kg.

3. Mass of a neutron (M_n) = 1.6746 x 10^-27kg.

4. Charge of an electron (e) = -1.6 x 10^-19c

5. Speed of light in vacuum (c) = 3 x10⁸ m/sec.

6. Planck Constant (h) = 6.6256 x 10^-34 J x sec .

7. Universal Gravitation constant (G) = 6.67 x 10^-11 Nm²/ kg².

8. Avogadro Number (NA) = 6.023 x10²³ mol^-1.

9. Boltzmann constant (K) = 1.38 x 10^-23 J/K

10.Stefan Constant (σ) = 5.67 x 10-8 W m-2 K-4.

11. Wien Displacement Constant (b) = 2.898 x10^-3 m K

12. Solar Constant (S) = 1.388 x 103 W m^-2

13. Mass of the sun (MS) = 2x 10³⁰kg.

14. Mass of the earth (ME) = 5.98x 10²⁴kg

15. Radius of the earth (Re) = 6400 Km. = 6.4x10⁶m.

16. Density of earth 5.522x10³kg/m³.

17. Average angular velocity of the earth = 7.29x 10^-5rad./sec

18. Average distance between the sun and earth = 1.5x10¹¹m.

19. Average distance between moon and the earth =3.84x 10⁸m.

20. Magnetic Moment of the earth = 6.4x 10²¹ Amp. X m².

Conversion Coefficients

1. 1Light year = 9.46x10¹⁵m.

2. 1 A.U. = 1.496 x 10¹¹m.

3. 1Å = 10^-10m.

4. 1 Pound = 0.4536kg = 453.6 gm

5. 1 Fermi = 10^-15m.

6. 1 C.S.L.= 1.4 x Mass of the sun.

7. 1 Shake = 10^-8sec.

8. 1ev = 1.6 x10^-19 Joule.

9. 1 Horse Power = 746 Watt.

Quadratic Equation

An equation of second degree is called a quadratic equation. It is of the form

:- ax² + bx + c =0

The roots of a quadratic equation are

X = -b ±(b² + 4ac)^1/2 / 2a

Binomial Theorem

If n is any integer, positive or negative or a fraction and x is any real number, then

( 1+x)ⁿ = 1 + nx + n(n-1)x² + .. . / Ị2

If IxI <<1 , then (1+x)ⁿ = 1+ nx.

Mensuration :-

1. Area of a circle = πr² =π D²/4

2. Surface area of a sphere = 4πr² = πD²

3. Volume of a sphere = 4/3 πr³

4. Surface area of a cylinder = 2πr(r+l)

5. Volume of a cylinder =π r² l

6. Curved surface area of a cone = πrl

7. Volume of a cone = 1/3πr²h

8. Surface area of a cube = 6x(side)²

9. Volume of a cube = (side)³

Fundamental Trigonometric relations

Fundamental Trigonometric relations

MATHEMATICAL TOOLS

MATHEMATICAL TOOLS 2

MATHEMATICAL TOOLS 4

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