Formula Booklet – Physics XI

Dear students Most students tend to take it easy after the board examinations of Class X. The summer vacations immediately after Class X are a great opportunity for the students to race ahead of other students in the competitive world of IITJEE, where less than 2% students get selected every year for the prestigious institutes. Some students get governed completely by the emphasis laid by the teachers of the school in which they are studying. Since, the objective of the teachers in the schools rarely is to equip the student with the techniques reqired to crack IITJEE, most of the students tend to take it easy in Class XI. Class XI does not even have the pressure of board examinations. So, while the teachers and the school environment is often not oriented towards the serious preparation of IITJEE, the curriculum of Class XI is extremely important to achieve success in IITJEE or any other competitive examination like AIEEE. The successful students identify these points early in their Class XI and race ahead of rest of the competition. We suggest that you start as soon as possible. In this booklet we have made a sincere attempt to bring your focus to Class XI and keep your velocity of preparations to the maximum. The formulae will help you revise your chapters in a very quick time and the motivational quotes will help you move in the right direction. Hope you’ll benefit from this book and all the best for your examinations. Praveen Tyagi Gaurav Mittal Prasoon Kumar

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Formula Booklet – Physics XI

CONTENTS

Description 1. 2. 3. 4. 5. 6. 7. 8. 9. Units, Dimensions & Measurements Motion in one Dimension & Newton’s Laws of Motion Vectors Circular Motion, Relative Motion, and Projectile Motion Friction & Dynamics of Rigid Body Conservation Laws & Collisions Simple Harmonic Motion & Lissajous Figures Gravitation Properties of Matter Page Number 03 04 06 07 09 12 14 18 20 25 30 35

10. Heat & Thermodynamics 11. Waves 12. Study Tips

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Formula Booklet – Physics XI

UNITS, DIMENSIONS AND MEASUREMENTS

(i) SI Units: (a) Time-second(s); (b) Length-metre (m); (c) Mass-kilogram (kg); (d) Amount of substance–mole (mol); (e) Temperature-Kelvin (K); (f) Electric Current – ampere (A); (g) Luminous Intensity – Candela (Cd) Uses of dimensional analysis (a) To check the accuracy of a given relation (b) To derive a relative between different physical quantities (c) To convert a physical quantity from one system to another system n1u 2 = n 2 u 2 or M L T n 2 = n1 1 x 1 x 1 M2 L2 T2 X1 − X 2 + ... + X N N

a b c

(ii)

(iii) (iv) (v) (vi) (vii)

Mean or average value: X =

Absolute error in each measurement: |∆Xi| = | X –Xi| Mean absolute error: ∆Xm= Fractional error = Σ | ∆ Xi | N

∆X X ∆X x 100 Percentage error = X

(viii) Combination of error: If ƒ =

∆ƒ ∆X ∆Y ∆Ζ =| a | +| b| +|c| ƒ X Y Ζ

Xa Y b Zc

, then maximum fractional error in ƒ is:

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Formula Booklet – Physics XI

MOTION IN ONE DIMENSION & NEWTON’S LAWS OF MOTION

(i) (ii) Displacement: | displacement | ≤ distance covered Average speed: v = s1 + s 2 s +s = 1 2 s1 s 2 t1 + t 2 + v1 v 2

(a) (b) (iii) (iv) (v) (vi)

If s1 = s2 = d, then v = If t1 = t2, then v =

2 v1 v 2 = Harmonic mean v1 + v 2

v1 + v...