Dreamjob45 - Important physical quantities & relations, Mathematics Formulas and Short biology Questions.
2nd part -
* Physical amount Physical quantities relation to other physical quantities *
1. Area = Length × Width2. Volume = Length × Width × Height
3. Mass Mass / Income
4. Frequency = 1 / Periodic
5. Velocity = Displacement / Time
6. Speed = Distance / Time
7. Acceleration = Velocity / Time
8. Force = mass × acceleration
9. Impulse = Force × Time
10. Work = Force × Distance
11. Energy = Force × Distance
12. Power = Work / Time
13. Momentum = mass × velocity
14. Pressure Area
15. Stress = force / area
16. Changes in Deformation = Strain Vimas / Original Vimas
17. Elasticity = Coefficient of elasticity stress / deformation
18. Page tension = force / length
19. Surface tension = Energy / Area
20. Velocity gradient = velocity/ distance
21. Pressure gradient =pressure / distance
22. Viscosity coefficient Coefficient of viscosity force / (area × velocity slope)
23. Angle = Arc / Radius
24. Trigonometric Ratio = length / length
25. Angular velocity = Angle / time
26. Angular acceleration = angular velocity / time
27. Angular momentum = Inertial moment × angular velocity
28. Inertia moment = mass × (revolutions radius) 2
29. Force = Torque Force × Distance
30. Angular frequency = 2π × frequency
31. Gravitational universal /constant universal constant of gravity =of force × (distance) 2 / (mass) 2
32. Plank constant = energy / frequency
33. Specific heat = Thermal energy / (mass × heat)
34. Heat Capacity = Thermal Energy / Heating
35. Boltzmann constant = energy / heat
36. Stefan constant = (energy / area × time) / (heat) 4
37. Gas constant = (pressure × volume) / (mole × heat)
38. Charge = electric current × time
39. Differential Potential difference
40. Resistance = Differential / Electric Current
41. Capacity = Charge / Differential
42. Electric field = Electrical force / charge
43. Magnetic field = force / (electric current × length)
44. Magnetic flux = magnetic field × length
45. Inductance Inductance = Magnetic Flux / Electric Current
46. Vein constant = wavelength × heat
47. Conductivity = 1 / Resistance
48. Entropy = Thermal Energy / Heating
49. Secret heat = thermal energy / mass
50. Thermal Diffusion = cofficient of thermal expansion.
51. Volume elasticity coefficient Bulk modulus (change in volume × pressure) / change in volume
52. Electrical resistance = (resistance × area) / length
53. Electric dipole moment Electric dipole moment force torque / electric field
54. Magnetic dipole moment Magnetic dipole moment force momentary / magnetic field
55. Magnetic field = strength magnetic moment / volume
56. Refractive index = Movement of light in vacuum / Speed of light in medium
57. Wave number = 2π / wavelength
58. Radiation power = Emitted energy / time
59. Radiation intensity = Radiation power / cubic angle
60. Hubble constant = backward array speed / distance
Important Mathematics Formulas -
1. (α + в) ² = α² + 2αв + в²
2. (α + в) ² = (α-в) ² + 4αв
3. (α-в) ² = α²-2αв + в²
4. (α-в) ² = (α + в) ²-4αв
5. α² + в² = (α + в) ² - 2αв.
6. α² + в² = (α-в) ² + 2αв.
7. α²-в² = (α + в) (α - в)
8. 2 (α² + в²) = (α + в) ² + (α - в) ²
9. 4αв = (α + в) ² - (α-в) ²
10. αв = {(α + в) / 2} ² - {(α-в) / 2} ²
11. (α + в + ¢) ² = α² + в² + ¢ ² + 2 (αв + в ¢ + ¢ α)
12. (α + в) ³ = α³ + 3α²в + 3αв² + в³
13. (α + в) ³ = α³ + в³ + 3αв (α + в)
14. (α-в) ³ = α³-3α²в + 3αв²-в³
15. α³ + в³ = (α + в) (α² -αв + в²)
16. α³ + в³ = (α + в) ³ -3αв (α + в)
17. α³ –в³ = (α –в) (α² + αв + в²)
18. α³ -в³ = (α-в) ³ + 3αв (α-в)
ѕιη0 ° = 0
ѕιη30 ° = 1/2
ѕιη45 ° = 1 / √2
ѕιη60 ° = √3 / 2
ѕιη90 ° = 1
¢ σѕ ιѕ σρρσѕιтє σƒ ѕιη
тαη0 ° = 0
тαη30 ° = 1 / √3
тαη45 ° = 1
тαη60 ° = √3
тαη90 ° = ∞
¢ σт ιѕ σρρσѕιтє σƒ тαη
ѕє ¢ 0 ° = 1
ѕє ¢ 30 ° = 2 / √3
ѕє ¢ 45 ° = √2
ѕє ¢ 60 ° = 2
ѕє ¢ 90 ° = ∞
¢ σѕє ¢ ιѕ σρρσѕιтє σƒ ѕє ¢
2ѕιηα ¢ σѕв = ѕιη (α + в) + ѕιη (α-в)
2 ¢ σѕαѕιηв = ѕιη (α + в) -ѕιη (α-в)
2 ¢ σѕα ¢ σѕв = ¢ σѕ (α + в) + ¢ σѕ (α-в)
2ѕιηαѕιηв = ¢ σѕ (α-в) - ¢ σѕ (α + в)
ѕιη (α + в) = ѕιηα ¢ σѕв + ¢ σѕα ѕιηв.
»¢ σѕ (α + в) = ¢ σѕα ¢ σѕв - ѕιηα ѕιηв.
»Ѕιη (α-в) = ѕιηα ¢ σѕв- ¢ σѕαѕιηв.
»¢ σѕ (α-в) = ¢ σѕα ¢ σѕв + ѕιηαѕιηв.
»Тαη (α + в) = (тαηα + тαηв) / (1 − тαηαтαηв)
»Тαη (α − в) = (тαηα - тαηв) / (1+ тαηαтαηв)
»¢ σт (α + в) = (¢ σтα ¢ σтв −1) / (¢ σтα + ¢ σтв)
»¢ σт (α − в) = (¢ σтα ¢ σтв + 1) / (¢ σтв− ¢ σтα)
»Ѕιη (α + в) = ѕιηα ¢ σѕв + ¢ σѕα ѕιηв.
»¢ σѕ (α + в) = ¢ σѕα ¢ σѕв + ѕιηα ѕιηв.
»Ѕιη (α-в) = ѕιηα ¢ σѕв- ¢ σѕαѕιηв.
»¢ σѕ (α-в) = ¢ σѕα ¢ σѕв + ѕιηαѕιηв.
»Тαη (α + в) = (тαηα + тαηв) / (1 − тαηαтαηв)
»Тαη (α − в) = (тαηα - тαηв) / (1+ тαηαтαηв)
»¢ σт (α + в) = (¢ σтα ¢ σтв −1) / (¢ σтα + ¢ σтв)
»¢ σт (α − в) = (¢ σтα ¢ σтв + 1) / (¢ σтв− ¢ σтα)
α / ѕιηα = в / ѕιηв = ¢ / ѕιη ¢ = 2я
»Α = в ¢ σѕ ¢ + ¢ ¢ σѕв
»В = α ¢ σѕ ¢ + ¢ ¢ σѕα
»¢ = α ¢ σѕв + в ¢ σѕα
»¢ σѕα = (в² + ¢ ²− α²) / 2в ¢
»¢ σѕв = (¢ ² + α²− в²) / 2 ¢ α
»¢ σѕ ¢ = (α² + в²− ¢ ²) / 2 ¢ α
»Δ = αв ¢ / 4я
»ЅιηΘ = 0 тнєη, Θ = ηΠ
»ЅιηΘ = 1 тнєη, Θ = (4η + 1) Π / 2
»ЅιηΘ = −1 тнєη, Θ = (4η− 1) Π / 2
»ЅιηΘ = ѕιηα тнєη, Θ = ηΠ (−1) ^ ηα
1. ѕιη2α = 2ѕιηα ¢ σѕα
2. ¢ σѕ2α = ¢ σѕ²α - ѕιη²α
3. ¢ σѕ2α = 2 ¢ σѕ²α - 1
4. ¢ σѕ2α = 1 - ѕιη²α
5. 2ѕιη²α = 1 - ¢ σѕ2α
6. 1 + ѕιη2α = (ѕιηα + ¢ σѕα) ²
7. 1 - ѕιη2α = (ѕιηα - ¢ σѕα) ²
8. тαη2α = 2тαηα / (1 - тαη²α)
9. ѕιη2α = 2тαηα / (1 + тαη²α)
10. ¢ σѕ2α = (1 - тαη²α) / (1 + тαη²α)
11. 4ѕιη³α = 3ѕιηα - ѕιη3α
12. 4 ¢ σѕ³α = 3 ¢ σѕα + ¢ σѕ3α
»Ѕιη²Θ + ¢ σѕ²Θ = 1
»Ѕє ¢ ²Θ-тαη²Θ = 1
»¢ σѕє ¢ ²Θ- ¢ σт²Θ = 1
»ЅιηΘ = 1 / ¢ σѕє ¢ Θ
»¢ σѕє ¢ Θ = 1 / ѕιηΘ
»¢ σѕΘ = 1 / ѕє ¢ Θ
»Ѕє ¢ Θ = 1 / ¢ σѕΘ
»ТαηΘ = 1 / ¢ σтΘ
»¢ σтΘ = 1 / тαηΘ
»ТαηΘ = ѕιηΘ / ¢ σѕΘ
2. (α + в) ² = (α-в) ² + 4αв
3. (α-в) ² = α²-2αв + в²
4. (α-в) ² = (α + в) ²-4αв
5. α² + в² = (α + в) ² - 2αв.
6. α² + в² = (α-в) ² + 2αв.
7. α²-в² = (α + в) (α - в)
8. 2 (α² + в²) = (α + в) ² + (α - в) ²
9. 4αв = (α + в) ² - (α-в) ²
10. αв = {(α + в) / 2} ² - {(α-в) / 2} ²
11. (α + в + ¢) ² = α² + в² + ¢ ² + 2 (αв + в ¢ + ¢ α)
12. (α + в) ³ = α³ + 3α²в + 3αв² + в³
13. (α + в) ³ = α³ + в³ + 3αв (α + в)
14. (α-в) ³ = α³-3α²в + 3αв²-в³
15. α³ + в³ = (α + в) (α² -αв + в²)
16. α³ + в³ = (α + в) ³ -3αв (α + в)
17. α³ –в³ = (α –в) (α² + αв + в²)
18. α³ -в³ = (α-в) ³ + 3αв (α-в)
ѕιη0 ° = 0
ѕιη30 ° = 1/2
ѕιη45 ° = 1 / √2
ѕιη60 ° = √3 / 2
ѕιη90 ° = 1
¢ σѕ ιѕ σρρσѕιтє σƒ ѕιη
тαη0 ° = 0
тαη30 ° = 1 / √3
тαη45 ° = 1
тαη60 ° = √3
тαη90 ° = ∞
¢ σт ιѕ σρρσѕιтє σƒ тαη
ѕє ¢ 0 ° = 1
ѕє ¢ 30 ° = 2 / √3
ѕє ¢ 45 ° = √2
ѕє ¢ 60 ° = 2
ѕє ¢ 90 ° = ∞
¢ σѕє ¢ ιѕ σρρσѕιтє σƒ ѕє ¢
2ѕιηα ¢ σѕв = ѕιη (α + в) + ѕιη (α-в)
2 ¢ σѕαѕιηв = ѕιη (α + в) -ѕιη (α-в)
2 ¢ σѕα ¢ σѕв = ¢ σѕ (α + в) + ¢ σѕ (α-в)
2ѕιηαѕιηв = ¢ σѕ (α-в) - ¢ σѕ (α + в)
ѕιη (α + в) = ѕιηα ¢ σѕв + ¢ σѕα ѕιηв.
»¢ σѕ (α + в) = ¢ σѕα ¢ σѕв - ѕιηα ѕιηв.
»Ѕιη (α-в) = ѕιηα ¢ σѕв- ¢ σѕαѕιηв.
»¢ σѕ (α-в) = ¢ σѕα ¢ σѕв + ѕιηαѕιηв.
»Тαη (α + в) = (тαηα + тαηв) / (1 − тαηαтαηв)
»Тαη (α − в) = (тαηα - тαηв) / (1+ тαηαтαηв)
»¢ σт (α + в) = (¢ σтα ¢ σтв −1) / (¢ σтα + ¢ σтв)
»¢ σт (α − в) = (¢ σтα ¢ σтв + 1) / (¢ σтв− ¢ σтα)
»Ѕιη (α + в) = ѕιηα ¢ σѕв + ¢ σѕα ѕιηв.
»¢ σѕ (α + в) = ¢ σѕα ¢ σѕв + ѕιηα ѕιηв.
»Ѕιη (α-в) = ѕιηα ¢ σѕв- ¢ σѕαѕιηв.
»¢ σѕ (α-в) = ¢ σѕα ¢ σѕв + ѕιηαѕιηв.
»Тαη (α + в) = (тαηα + тαηв) / (1 − тαηαтαηв)
»Тαη (α − в) = (тαηα - тαηв) / (1+ тαηαтαηв)
»¢ σт (α + в) = (¢ σтα ¢ σтв −1) / (¢ σтα + ¢ σтв)
»¢ σт (α − в) = (¢ σтα ¢ σтв + 1) / (¢ σтв− ¢ σтα)
α / ѕιηα = в / ѕιηв = ¢ / ѕιη ¢ = 2я
»Α = в ¢ σѕ ¢ + ¢ ¢ σѕв
»В = α ¢ σѕ ¢ + ¢ ¢ σѕα
»¢ = α ¢ σѕв + в ¢ σѕα
»¢ σѕα = (в² + ¢ ²− α²) / 2в ¢
»¢ σѕв = (¢ ² + α²− в²) / 2 ¢ α
»¢ σѕ ¢ = (α² + в²− ¢ ²) / 2 ¢ α
»Δ = αв ¢ / 4я
»ЅιηΘ = 0 тнєη, Θ = ηΠ
»ЅιηΘ = 1 тнєη, Θ = (4η + 1) Π / 2
»ЅιηΘ = −1 тнєη, Θ = (4η− 1) Π / 2
»ЅιηΘ = ѕιηα тнєη, Θ = ηΠ (−1) ^ ηα
1. ѕιη2α = 2ѕιηα ¢ σѕα
2. ¢ σѕ2α = ¢ σѕ²α - ѕιη²α
3. ¢ σѕ2α = 2 ¢ σѕ²α - 1
4. ¢ σѕ2α = 1 - ѕιη²α
5. 2ѕιη²α = 1 - ¢ σѕ2α
6. 1 + ѕιη2α = (ѕιηα + ¢ σѕα) ²
7. 1 - ѕιη2α = (ѕιηα - ¢ σѕα) ²
8. тαη2α = 2тαηα / (1 - тαη²α)
9. ѕιη2α = 2тαηα / (1 + тαη²α)
10. ¢ σѕ2α = (1 - тαη²α) / (1 + тαη²α)
11. 4ѕιη³α = 3ѕιηα - ѕιη3α
12. 4 ¢ σѕ³α = 3 ¢ σѕα + ¢ σѕ3α
»Ѕιη²Θ + ¢ σѕ²Θ = 1
»Ѕє ¢ ²Θ-тαη²Θ = 1
»¢ σѕє ¢ ²Θ- ¢ σт²Θ = 1
»ЅιηΘ = 1 / ¢ σѕє ¢ Θ
»¢ σѕє ¢ Θ = 1 / ѕιηΘ
»¢ σѕΘ = 1 / ѕє ¢ Θ
»Ѕє ¢ Θ = 1 / ¢ σѕΘ
»ТαηΘ = 1 / ¢ σтΘ
»¢ σтΘ = 1 / тαηΘ
»ТαηΘ = ѕιηΘ / ¢ σѕΘ
Short Biology Questions -
1.: - Which acid accumulates in the muscles leads to exhaustion?Ans: - Lactic acid
2.: - Which acid is found in grapes?
Ans: - Tartaric acid
3.: - Study of cancer related diseases is called
Answer: - Organology
4.: - Which is the longest cell in human body?
Ans: - Nerve cell
5.: - Teeth are mainly made up of which substance?
Ans: - of dentine
6.: - Which animal has the shape of foot slippers?
Ans: - Parametium
7.: - How many eyes does earthworm have?
Ans: - None.
8.: - Carrot is a rich source of which vitamin?
Answer: - Vitamin A
9.: - Protein is not found in which of the following substances?
Ans: - Rice
10.: - How many grams of human brain is there?
Answer: - 1350
11.: - is a metal found in blood
Ans: - Iron
12.: - Example of fermentation
Ans: - Sourness of milk, formation of food bread, sourness of wet flour.
13.: - Which of the following diet provides nutrients for growth of new tissues in human body?
Ans: - Cheese
14.: - Which of the following is a flying lizard?
Ans: - Draco
15.: - Which is the only snake nest?
Ans: - King Cobra
16.: - Which is the largest fish found in India?
Answer: - whale shark
17.: - Pulses are a good source of
Ans: - Protein
18.: - Why does native ghee smell fragrant?
Ans: - Due to diacetyl
19.: - Which color deflection is more in the rainbow?
Answer: - Red color
20.: Who invented television?
Answer: - J. L. Baird
21: - Why does a diamond appear shiny?
Ans: - Due to collective internal reflection
22.: - What is found mainly in 'dung gas'.
Answer: - Methane
23.: - With which machine the purity of milk is measured?
Ans: - Lactometer
24.: - Which is the highest metal element found on Earth?
Answer: - Aluminum
25.: - Pearl is mainly made up of which substance?
Ans: - Calcium Carbonate
26.: - Which element is found in maximum quantity in human body?
Ans: - Oxygen
27.: - What type of tissues act as the body's protective shield?
Ans: - Epithelium tissue
28.: - Which animal did man first domesticate?
Ans: - Dog
29.: - Which scientist first melted and melted two pieces of ice?
Answer: - Davy
30.: - Who produces the highest intensity sound?
Answer: - Tiger
31.: - When sound waves move, they carry them
Ans: - Energy
32. - Which part of the sun is visible at the time of solar eclipse?
Ans: - Kirit
33. - How many colors are there in the ray of sun?
Answer: - 7
34. - Who is the inventor of 'typewriter'?
Ans: - Sholes
35. - What is vinegar called in Latin language.
Ans: - Assetam
36 .: - Used to remove rust spots from clothes
Ans: - Oxalic acid
37 .: - 'Red rot disease' in sugarcane is caused due to
Ans: - by fungi
38. - What is the botanical name of mango?
Answer: - Mangifera Indica
39. - 'Chikori churna' mixed with coffee powder is obtained
Ans: - By roots
40. - What is the best source of Vitamin-C?
Ans: - Amla
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