GameChanger Academy

Mechanics

1. Units, Dimensions and Errors

2. Vectors and Scalars

3. Motion in a Straight Line

4. Projectile Motion

5. Newton's Laws of Motion

6. Friction

7. Work, Energy, Power and Collision

8. Circular motion

9. Rotational motion

10. Simple Harmonic Motion

11. Gravitation

12. Elasticity

13. Surface Tension

14. Fluid dynamics and Viscosity

15. Hydrostatics

Heat and Thermodynamics

16. Thermometry

17. Thermal expansion

18. Calorimetry, Change of State and Hygrometry

19. Gas Laws and Kinetic theory of Gases

20. Transmission of Heat

21. Thermodynamics

Sound and Waves

22. Wave

23. Superposition of Waves

24. Stationary/ Standing waves

25. Doppler's effect and Musical sound

Optics

26. Reflection of Plane and Curved Mirrors

27. Refraction at Plane surfaces and Total internal reflection

28. Refraction through prism and Dispersion of Light

29. Refraction through Lenses

30. Chromatic abberation in Lenses, Optical instruments and Human eye

31. Velocity of Light

32. Photometry

33. Wave nature of Light

Electrostatics

34. Charge and Force

35. Electric Field and Potential

36. Capacitance

Electrodynamics

37. Electric current

38. Heating Effect of Current

39. Thermoelectricity

40. Chemical effect of Current

41. Meters

Electromagnetism

42. Properties of Magnets

43. Magnetic effects of Current

44. Electromagnetic induction

45. Alternating current

Modern Physics

46. Cathode rays, Positive rays and Electrons

47. Photoelectric effect

48. X-rays

49. Atomic structure and Spectrum

50. Radioactivity

51. Nuclear physics

52. Semiconductor and Semiconductor devices

53. Diode and Triode valves

54. Logic gates

55. Relativity and Universe

56. Particle physics

Heat and Thermodynamics

19. Gas Laws and Kinetic theory of Gases

1. If the molecular masses of gases are M₁ and M₂ respectively, then the mean square velocity of the gases are proportional to:

[BP 2011]

M₁/M₂
M₂/M₁
√(M₁/M₂)
√(M₂/M₁)

2. Average translational kinetic energy of a molecule is given by:

[BP 2011]

3/2 KT
1/2 KT
3/2 RT
5/2 RT

3. If all CO₂ is removed, Earth's temperature will:

[BP 2010]

Be more than present
Be less than present
Depend on gas velocity
May increase/decrease

4. Absolute zero is accurately:

[BP 2010]

-273.25 K
-273.15 K
-273.34 K
-273.05 K

5. For material with P = aT²/V, work done when T changes from T₀ to 2T₀ at constant P is:

[BP 2009]

6aT₀
5aT₀
2aT₀
3aT₀

6. For ideal gas with c_p=525 J/kg°C and c_v=315 J/kg°C, density at NTP is:

[BP 2009]

0.64 kg/m³
2.62 kg/m³
1.20 kg/m³
1.75 kg/m³

7. Relation between average KE (E) per unit volume and pressure (P):

[BP 2012]

P = 2/3 E
P = E
P = 5/2 E
P = 3/2 E

8. Critical temperature for Van der Waals equation is:

[BP 2013]

27a/8Rb
27Rb/a
a/27b²
8Rb/27a

9. For gas with γ=1.4, which is true?

[BP 2013]

C_v = 5/2 R
C_p = 7/2 R
C_p = 5/2 R
C_v = 3/2 R

10. At same T, P, and V for two gases, which quantity is constant?

[IOM 2013]

Total molecules
RMS velocity
Average KE
Mean free path

11. 150cc ideal gas at 27°C and 650mm pressure. Volume at 0°C (constant P)?

[IOM 2014]

130 cc
136.5 cc
140 cc
150 cc

12. When absolute T increases 3×, RMS velocity becomes:

[IOM 2011]

3×
9×
√3×
1/3×

13. Single molecule in closed vessel. When T increases:

[]

v_rms > v_avg > v_mp
v_rms = v_avg = v_mp
v_rms < v_avg < v_mp
v_avg > v_rms > v_mp

14. Average speed of gas molecules ∝

[MOE/KU]

√T
T
T²
0

15. Mean square speed ∝

[]

√T
T
T²
0

16. RMS velocity of gas molecules ∝

[]

1/m
1/√m
√m
m

17. Which gas has maximum RMS speed at given T?

[]

Hydrogen
Nitrogen
Oxygen
Helium

18. Which gas has maximum KE at given T?

[]

Hydrogen
Nitrogen
Oxygen
All equal

19. Two gases A and B at same P,V,T are mixed. Final pressure?

[]

20. At 0K, which property of gas becomes zero?

[]

KE
PE
Mass
Density

21. Two vessels: H₂ at 1atm and He at 2atm (same V,T). Mean velocity ratio?

[]

Equal
Twice He
Half He
√2 × He

22. Heated monoatomic gas (300K→600K). Average KE change?

[]

Halved
Unchanged
√2 ×
Doubled

23. If gas molecule masses halved and speeds doubled, new pressure?

[]

2P₀
4P₀
P₀
P₀/2

24. For gas mixture (N molecules mass m + 2N molecules mass 2m), v_B/v_A = ?

[]

√2
1
1/√2
2/3

25. If P increases 0.4% when heated 1°C, initial T is:

[]

250K
250°C
2500K
25°C

26. Ratio of molecules in jar A (P,V,T) to jar B (2P,V/4,2T):

[]

27. H₂:O₂ = 1:5 ratio. KE ratio of molecules?

[]

1:16
1:4
1:5
1:1

28. 6g O₂ at 400K leaks until P/2 at 300K. Mass leaked?

[]

29. Molar specific heat (C_v) of 1 mole mono + 1 mole diatomic gas mix:

[]

5/2 R
7/2 R
2R
4R

30. If intermolecular forces vanish, volume of 4.5kg water at NTP:

[]

5.6 m³
4.5 m³
14.2 m³
11.2 L

31. Mean KE per mole per degree of freedom:

[]

1/2 RT
RT
1/2 KT
3/2 KT

32. If v_rms=200m/s at 27°C, new v_rms at 127°C and 0.5×10⁵ N/m²?

[]

400/√3 m/s
100√2 m/s
200√2 m/s
50√2 m/s

33. 22g CO₂ at 27°C + 16g O₂ at 37°C. Mixture temp?

[]

32°C
27°C
37°C
30.5°C

34. When P increases from 1 to 4 atm, v_rms:

[]

Same
2×
4×
1/2×

35. If v_rms=v at NTP, when P becomes 4× at constant V:

[]

36. Open vessel at 60°C heated until 1/4 air escapes. Final T?

[]

80°C
44°C
333°C
171°C

37. Mean KE at 0°C is E. At 273°C, KE becomes:

[]

E
2E
4E
√2E

38. If n → 2n molecules in box, pressure becomes:

[]

1/2×
4×
Same
2×

39. v_rms(H₂)=1930m/s at 300K. v_rms(O₂) at 900K?

[]

643 m/s
1930√3 m/s
1903/√3 m/s
836 m/s

40. Pressure increase needed for 10% volume decrease at constant T:

[]

10%
11.11%
20%
25%

41. Gas with 6 degrees of freedom at 300K has v_rms=c. Speed of sound?

[]

c/√3
2c/3
c/√2
c/2

42. For diatomic gas with average KE/molecule=0.10eV, total KE/molecule?

[]

0.06eV
0.04eV
0.10eV
None

43. Vessel with 1 mole O₂ at T has pressure P. Identical vessel with 1 mole He at 2T has pressure?

[KU 2015]

44. When diatomic gas is heated at constant P, fraction of heat increasing internal energy?

[KU 2015]