In order to successfully prepare for the CT in Physics and Mathematics, among other things, three critical conditions must be met:

1. Study all the topics and complete all the tests and tasks given in the study materials on this site. To do this, you need nothing at all, namely: to devote three to four hours every day to preparing for the CT in physics and mathematics, studying theory and solving problems. The fact is that the CT is an exam where it is not enough just to know physics or mathematics, you also need to be able to quickly and without failures solve a large number of problems on various topics and varying complexity. The latter can only be learned by solving thousands of problems.
2. Learn all formulas and laws in physics, and formulas and methods in mathematics. In fact, it is also very simple to do this, there are only about 200 necessary formulas in physics, and even a little less in mathematics. In each of these subjects there are about a dozen standard methods for solving problems of a basic level of complexity, which can also be learned, and thus, completely automatically and without difficulty, solve most of the digital transformation at the right time. After that, you will only have to think about the most difficult tasks.
3. Attend all three stages of rehearsal testing in physics and mathematics. Each RT can be visited twice to solve both options. Again, on the DT, in addition to the ability to quickly and efficiently solve problems, and the knowledge of formulas and methods, it is also necessary to be able to properly plan time, distribute forces, and most importantly fill out the answer form correctly, without confusing either the numbers of answers and tasks, or your own surname. Also, during the RT, it is important to get used to the style of posing questions in tasks, which may seem very unusual to an unprepared person on the DT.

Successful, diligent and responsible implementation of these three points will allow you to show an excellent result on the CT, the maximum of what you are capable of.

Found an error?

If you, as it seems to you, found an error in the training materials, then please write about it by mail. You can also write about the error on the social network (). In the letter, indicate the subject (physics or mathematics), the name or number of the topic or test, the number of the task, or the place in the text (page) where, in your opinion, there is an error. Also describe what the alleged error is. Your letter will not go unnoticed, the error will either be corrected, or you will be explained why it is not a mistake.

The Unified State Exam covers information on the entire course of physics from grades 7 to 11. However, if some formulas in physics for the Unified State Examination are well remembered on their own, others have to be worked on. We will look at some formulas that are useful for solving various problems.

Kinematics

Let's start traditionally with kinematics. A common mistake here is the incorrect calculation of the average speed of non-uniform rectilinear motion. In this case, they try to solve problems using the arithmetic mean. However, everything is not so simple. The arithmetic mean is only a special case. And to find the average speed of movement, there is a useful formula:

where S is the entire path traveled by the body in a certain time t.

Molecular Kinetic Theory (MKT)

MKT can set many insidious "traps" for an inattentive student. To avoid this, you need to be fluent in physics formulas for the exam in this area.

Let's start with the Mendeleev-Clapeyron law, which is used for ideal gases. It sounds like this:

where p is the gas pressure,

V is the volume it occupies,

n is the amount of gas,

R is the universal gas constant,

T is temperature.

Pay attention to examples of problems with the application of this law.

Everyone knows what humidity is. Relative humidity values ​​are reported daily in the media. The formula for the exam is: here f is the relative humidity of the air,

ρ is the density of water vapor in the air,

ρ0 is the density of saturated vapor at a specific temperature.

This last value is a table value, so it must be in the task condition.

Thermodynamics

Thermodynamics is a branch quite close to the MKT, so many concepts intersect. Thermodynamics is based on two principles. Almost every problem in this area requires knowledge and application of the first law of thermodynamics, expressed by the formula

This is formulated as follows:

The amount of heat Q that was received by the system is spent on doing work A on external bodies and changing ΔU of the internal energy of this system.

Strength of Archimedes

Finally, let's talk about the behavior of bodies immersed in a liquid. Obviously, each of them is affected by gravity, directed vertically downwards. But in a liquid, all bodies weigh less. This is due to the partial compensation of gravity by the oppositely directed force of Archimedes. Its value is Thus, this force, trying to push the body out of the liquid, depends on the density of the same liquid and the volume of the part of the body immersed in it. The Archimedes force also acts in gases, but due to the insignificance of the density of gases, it is usually neglected.

The USE tests a student's knowledge in various fields of physics. Formulas for the exam in physics contribute to the successful solution of problems (you can use) and a general understanding of the basic physical processes.

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1 Formulas in physics that are recommended to be learned and mastered well for the successful passing of the exam. Version: 0.92β. Compiled by: Vaulin D.N. References: 1. Peryshkin A.V. Physics grade 7. Textbook for educational institutions. 13th edition, stereotypical. Moscow. Bustard Peryshkin A.V. Physics grade 8. Textbook for educational institutions. 12th edition, stereotypical. Moscow. Bustard Peryshkin A.V., Gutnik E.M. Physics grade 9. Textbook for educational institutions. 14th edition, stereotypical. Moscow. Bustard Myakishev G.Ya. etc. Physics. Mechanics grade 10. profile level. Textbook for educational institutions. 11th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z. Physics. Molecular physics. Thermodynamics grade 10. profile level. Textbook for educational institutions. 13th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z., Slobodskov B.A. Physics. Electrodynamics classes. profile level. Textbook for educational institutions. 11th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z. Physics. Oscillations and waves Grade 11. profile level. Textbook for educational institutions. 9th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z. Physics. Optics. Quantum physics grade 11. profile level. Textbook for educational institutions. 9th edition, stereotypical. Moscow. Bustard Formulas in bold are worth learning when formulas not highlighted in bold are already perfectly mastered. 7th grade. 1. Average speed: 2. Density: 3. Hooke's law: 4. Gravity:

2 5. Pressure: 6. Pressure of the liquid column: 7. Archimedean force: 8. Mechanical work: 9. Power of doing work: 10. Moment of force: 11. Coefficient of performance (COP) of the mechanism: 12. Potential energy at constant: 13 .Kinetic energy: Grade 8. 14. The amount of heat required for heating: 15. The amount of heat released during combustion: 16. The amount of heat required for melting:

3 17. Relative air humidity: 18. Amount of heat required for vaporization: 19. Efficiency of a heat engine: 20. Useful work of a heat engine: 21. Law of conservation of charge: 22. Current: 23. Voltage: 24. Resistance: 25. Total resistance of the series connection of conductors: 26. Total resistance of the parallel connection of conductors: 27. Ohm's law for the circuit section:

4 28. Electric current power: 29. Joule-Lenz law: 30. Light reflection law: 31. Light refraction law: 32. Optical power of the lens: class 9. 33. Dependence of speed on time with uniformly accelerated motion: 34. Dependence of the radius vector on time with uniformly accelerated motion: 35. Newton's second law: 36. Newton's third law: 37. Law of universal gravitation:

5 38. Centripetal acceleration: 39. Momentum: 40. Law of energy change: 41. Relationship of period and frequency: 42. Relationship of wavelength and frequency: 43. Law of change of momentum: 44. Ampère's law: 45. Energy of the magnetic field of current: 46 Transformer formula: 47 RMS current: 48 RMS voltage:

6 49. Charge of a capacitor: 50. Capacitance of a flat capacitor: 51. Total capacitance of capacitors connected in parallel: 52. Energy of the electric field of a capacitor: 53. Thompson's formula: 54. Photon energy: 55. Absorption of a photon by an atom: 56. Communication of mass and energy: 1. Absorbed radiation dose: 2. Equivalent radiation dose:

7 57. Law of radioactive decay: Grade 10. 58. Angular velocity: 59. Relationship of velocity with angular: 60. Law of addition of velocities: 61. Sliding friction force: 62. Resting friction force: 3. Environmental resistance force: [ 63. Potential energy of an extended spring: 4. Radius vector of the center of mass :

8 64. Amount of substance: 65. Mendeleev-Clapeyron equation: 66. Basic equation of molecular kinetic theory: 67. Particle concentration: 68. Relationship between average kinetic energy of particles and gas temperature: 69. Gas internal energy: 70. Gas work: 71 First law of thermodynamics: 72. Efficiency of Carnot machine: 5. Thermal linear expansion: 6. Thermal volumetric expansion:

9 73. Coulomb's law: 74. Electric field strength: 75. Electric field strength of a point charge: 7. Electric field strength flux: 8. Gauss theorem: 76. Potential charge energy at constant: 77. Potential energy of interaction of bodies: 78. Potential energy of interaction of charges: 79. Potential: 80. Potential difference: 81. Relation of the intensity of a homogeneous electric field and voltage:

10 82. Total capacitance of series-connected capacitors: 83. Dependence of resistivity on temperature: 84. Kirchhoff's first rule: 85. Ohm's law for a complete circuit: 86. Kirchhoff's second rule: 87. Faraday's law: class 11. 9. Law of Biot-Savart-Laplace: 10. Magnetic induction of an endless wire: 88. Lorentz force:

11 89. Magnetic flux: 90. The law of electromagnetic induction: 91. Inductance: 92. The dependence of a quantity that changes according to a harmonic law on time: 93. The dependence of the rate of change of a quantity that changes according to a harmonic law on time: 94. The dependence of the acceleration of a change in a quantity that changes according to the harmonic law of time: 95. Period of oscillation of a thread pendulum: 96. Period of oscillation of a spring pendulum: 11. Capacitance: 12. Inductive resistance:

12 13. AC resistance: 97. Thin lens formula: 98. Interference maximum condition: 99. Interference minimum condition: 14. Lorentz transformation of coordinates: 15. Lorentz transformation of time: 16. Relativistic law of velocity addition: 100. Body mass dependence on speed: 17. Relativistic relationship between energy and momentum:

13 101. Photoelectric effect equation: 102. Photoelectric effect red border: 103. De Broglie wavelength:

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The session is approaching, and it's time for us to move from theory to practice. Over the weekend, we sat down and thought that many students would do well to have a collection of basic physics formulas handy. Dry formulas with explanation: short, concise, nothing more. A very useful thing when solving problems, you know. Yes, and at the exam, when exactly what was cruelly memorized the day before can “jump out” of my head, such a selection will serve you well.

Most of the tasks are usually given in the three most popular sections of physics. it Mechanics, thermodynamics and Molecular physics, electricity. Let's take them!

Basic formulas in physics dynamics, kinematics, statics

Let's start with the simplest. Good old favorite rectilinear and uniform movement.

Kinematic formulas:

Of course, let's not forget about the movement in a circle, and then move on to the dynamics and Newton's laws.

After the dynamics, it's time to consider the conditions for the equilibrium of bodies and liquids, i.e. statics and hydrostatics

Now we give the basic formulas on the topic "Work and energy". Where would we be without them!

Basic formulas of molecular physics and thermodynamics

Let's finish the section of mechanics with formulas for vibrations and waves and move on to molecular physics and thermodynamics.

Efficiency, Gay-Lussac's law, the Clapeyron-Mendeleev equation - all these sweet formulas are collected below.

By the way! There is a discount for all our readers 10% on the .

Basic formulas in physics: electricity

It's time to move on to electricity, although thermodynamics loves it less. Let's start with electrostatics.

And, to the drum roll, we finish with the formulas for Ohm's law, electromagnetic induction and electromagnetic oscillations.

That's all. Of course, a whole mountain of formulas could be given, but this is useless. When there are too many formulas, you can easily get confused, and then completely melt the brain. We hope that our cheat sheet of basic formulas in physics will help you solve your favorite problems faster and more efficiently. And if you want to clarify something or have not found the formula you need: ask the experts student service. Our authors keep hundreds of formulas in their heads and click tasks like nuts. Contact us, and soon any task will be "too tough" for you.

Cheat sheet with formulas in physics for the exam

Cheat sheet with formulas in physics for the exam

And not only (may need 7, 8, 9, 10 and 11 classes). For starters, a picture that can be printed in a compact form.

And not only (may need 7, 8, 9, 10 and 11 classes). For starters, a picture that can be printed in a compact form.

A cheat sheet with formulas in physics for the Unified State Examination and not only (grades 7, 8, 9, 10 and 11 may need it).

and not only (may need 7, 8, 9, 10 and 11 classes).

And then the Word file, which contains all the formulas to print them, which are at the bottom of the article.

Mechanics

1. Pressure P=F/S
2. Density ρ=m/V
3. Pressure at the depth of the liquid P=ρ∙g∙h
4. Gravity Ft=mg
5. 5. Archimedean force Fa=ρ w ∙g∙Vt
6. Equation of motion for uniformly accelerated motion

X=X0 + υ 0∙t+(a∙t 2)/2 S=( υ 2 -υ 0 2) /2а S=( υ +υ 0) ∙t /2

1. Velocity equation for uniformly accelerated motion υ =υ 0 +a∙t
2. Acceleration a=( υ -υ 0)/t
3. Circular speed υ =2πR/T
4. Centripetal acceleration a= υ 2/R
5. Relationship between period and frequency ν=1/T=ω/2π
6. Newton's II law F=ma
7. Hooke's law Fy=-kx
8. Law of universal gravitation F=G∙M∙m/R 2
9. The weight of a body moving with acceleration a P \u003d m (g + a)
10. The weight of a body moving with acceleration a ↓ P \u003d m (g-a)
11. Friction force Ffr=µN
12. Body momentum p=m υ
13. Force impulse Ft=∆p
14. Moment M=F∙ℓ
15. Potential energy of a body raised above the ground Ep=mgh
16. Potential energy of elastically deformed body Ep=kx 2 /2
17. Kinetic energy of the body Ek=m υ 2 /2
18. Work A=F∙S∙cosα
19. Power N=A/t=F∙ υ
20. Efficiency η=Ap/Az
21. Oscillation period of the mathematical pendulum T=2π√ℓ/g
22. Oscillation period of a spring pendulum T=2 π √m/k
23. The equation of harmonic oscillations Х=Хmax∙cos ωt
24. Relationship of the wavelength, its speed and period λ= υ T

Molecular physics and thermodynamics

1. Amount of substance ν=N/ Na
2. Molar mass M=m/ν
3. Wed. kin. energy of monatomic gas molecules Ek=3/2∙kT
4. Basic equation of MKT P=nkT=1/3nm 0 υ 2
5. Gay-Lussac law (isobaric process) V/T =const
6. Charles' law (isochoric process) P/T =const
7. Relative humidity φ=P/P 0 ∙100%
8. Int. ideal energy. monatomic gas U=3/2∙M/µ∙RT
9. Gas work A=P∙ΔV
10. Boyle's law - Mariotte (isothermal process) PV=const
11. The amount of heat during heating Q \u003d Cm (T 2 -T 1)
12. The amount of heat during melting Q=λm
13. The amount of heat during vaporization Q=Lm
14. The amount of heat during fuel combustion Q=qm
15. The equation of state for an ideal gas is PV=m/M∙RT
16. First law of thermodynamics ΔU=A+Q
17. Efficiency of heat engines η= (Q 1 - Q 2) / Q 1
18. Ideal efficiency. engines (Carnot cycle) η \u003d (T 1 - T 2) / T 1

Electrostatics and electrodynamics - formulas in physics

1. Coulomb's law F=k∙q 1 ∙q 2 /R 2
2. Electric field strength E=F/q
3. Email tension. field of a point charge E=k∙q/R 2
4. Surface charge density σ = q/S
5. Email tension. fields of the infinite plane E=2πkσ
6. Dielectric constant ε=E 0 /E
7. Potential energy of interaction. charges W= k∙q 1 q 2 /R
8. Potential φ=W/q
9. Point charge potential φ=k∙q/R
10. Voltage U=A/q
11. For a uniform electric field U=E∙d
12. Electric capacity C=q/U
13. Capacitance of a flat capacitor C=S∙ ε ∙ε 0/d
14. Energy of a charged capacitor W=qU/2=q²/2С=CU²/2
15. Current I=q/t
16. Conductor resistance R=ρ∙ℓ/S
17. Ohm's law for the circuit section I=U/R
18. The laws of the last compounds I 1 \u003d I 2 \u003d I, U 1 + U 2 \u003d U, R 1 + R 2 \u003d R
19. Parallel laws. conn. U 1 \u003d U 2 \u003d U, I 1 + I 2 \u003d I, 1 / R 1 + 1 / R 2 \u003d 1 / R
20. Electric current power P=I∙U
21. Joule-Lenz law Q=I 2 Rt
22. Ohm's law for a complete chain I=ε/(R+r)
23. Short circuit current (R=0) I=ε/r
24. Magnetic induction vector B=Fmax/ℓ∙I
25. Ampere Force Fa=IBℓsin α
26. Lorentz force Fл=Bqυsin α
27. Magnetic flux Ф=BSсos α Ф=LI
28. Law of electromagnetic induction Ei=ΔФ/Δt
29. EMF of induction in moving conductor Ei=Вℓ υ sinα
30. EMF of self-induction Esi=-L∙ΔI/Δt
31. The energy of the magnetic field of the coil Wm \u003d LI 2 / 2
32. Oscillation period count. contour T=2π ∙√LC
33. Inductive reactance X L =ωL=2πLν
34. Capacitance Xc=1/ωC
35. The current value of the current Id \u003d Imax / √2,
36. RMS voltage Ud=Umax/√2
37. Impedance Z=√(Xc-X L) 2 +R 2

Optics

1. The law of refraction of light n 21 \u003d n 2 / n 1 \u003d υ 1 / υ 2
2. Refractive index n 21 =sin α/sin γ
3. Thin lens formula 1/F=1/d + 1/f
4. Optical power of the lens D=1/F
5. max interference: Δd=kλ,
6. min interference: Δd=(2k+1)λ/2
7. Differential grating d∙sin φ=k λ

The quantum physics

1. Einstein's formula for the photoelectric effect hν=Aout+Ek, Ek=U ze
2. Red border of the photoelectric effect ν to = Aout/h
3. Photon momentum P=mc=h/ λ=E/s

Physics of the atomic nucleus

1. Law of radioactive decay N=N 0 ∙2 - t / T
2. Binding energy of atomic nuclei

E CB \u003d (Zm p + Nm n -Mya)∙c 2

ONE HUNDRED

1. t \u003d t 1 / √1-υ 2 / c 2
2. ℓ=ℓ 0 ∙√1-υ 2 /c 2
3. υ 2 \u003d (υ 1 + υ) / 1 + υ 1 ∙υ / c 2
4. E = m With 2