All Free Physics MCQs with Answers

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13,934 questions · page 696 of 697

  • A. Molecules do not exert any force on each other
  • B. The size of molecules is much larger than the separation between the molecules
  • C. A finite volume of gas consists of a very small number of molecules
  • D. The gas molecules are not in random motion

Explanation: A postulate of the kinetic theory of gases is that molecules exert no force on one another except during the instant of collision, which…

Correct answer: Molecules do not exert any force on each other
  • A. Option A
  • B. Option B
  • C. Option C
  • D. Option D

Explanation: Root mean square speed follows from PV = (1/3)Nm<v^2>, giving v_rms = sqrt(3PV/Nm), equivalently sqrt(3kT/m) for one molecule or…

Correct answer: Option A
  • A. Collisions between gas molecules occur
  • B. Collisions between gas molecules occur linearly
  • C. Collisions must be elastic
  • D. Collisions must be inelastic

Explanation: The kinetic theory assumes collisions between gas molecules are perfectly elastic, so kinetic energy is conserved in every collision.

Correct answer: Collisions must be elastic
  • A. 4 root mean square of oxygen
  • B. ¼ root mean square of oxygen
  • C. 1/16 root mean square of oxygen
  • D. 1/6 root mean square of oxygen

Explanation: At the same temperature v_rms is inversely proportional to the square root of molecular mass, since v_rms = sqrt(3kT/m).

Correct answer: 4 root mean square of oxygen
  • A. Option A
  • B. Option B
  • C. Option C
  • D. Option D

Explanation: Mean square speed is the average of the squares of the molecular speeds, <v^2> = (v1^2 + v2^2 + ...

Correct answer: Option B
  • A. N/a^2
  • B. m/a^3
  • C. Nm/a^3
  • D. Na^3/m

Explanation: Density is total mass divided by total volume. N molecules of mass m each give a total mass of Nm, and a cube of side a has volume a^3, so…

Correct answer: Nm/a^3
  • A. n = NNA
  • B. n = N/NA
  • C. n = NA/N
  • D. n = N + NA

Explanation: The number of moles is the number of molecules divided by Avogadro's number: n = N/NA.

Correct answer: n = N/NA
  • A. 496.38 K
  • B. 438.96 K
  • C. 0
  • D. 496.38 oF

Explanation: A constant-volume gas thermometer gives T = T_triple x (P/P_triple), with the triple point of water at 273.16 K.

Correct answer: 496.38 K
  • A. Avogadro's constant
  • B. Charles constant
  • C. Newton's constant
  • D. Boltzmann's constant

Explanation: The universal gas constant divided by Avogadro's number is the Boltzmann constant, k = R/NA = 1.38 x 10^-23 J/K.

Correct answer: Boltzmann's constant
  • A. Charles Law
  • B. Avogadro's Law
  • C. Newton's Constant
  • D. Ideal Gas Law

Explanation: PV = nRT is the ideal gas law, which combines Boyle's law, Charles's law and Avogadro's law into a single equation of state.

Correct answer: Ideal Gas Law
  • A. 1 x 10³ Pa
  • B. 2.5 x 10² Pa
  • C. 1 x 10² Pa
  • D. 2.7 x 10³ Pa

Explanation: Kinetic theory gives P = (1/3) x density x mean square speed. Substituting, P = (1/3) x 6 x 500 = 1000 Pa, which is 1 x 10^3 Pa.

Correct answer: 1 x 10³ Pa
  • A. 227K
  • B. 300K
  • C. 370K
  • D. 390K

Explanation: Rearranging the ideal gas law gives T = PV/nR = (2.50 x 10^5 x 1.00 x 10^-2)/(1 x 8.314) = 2500/8.314 = 300 K.

Correct answer: 300K
  • A. 361K
  • B. 298K
  • C. 273K
  • D. 250K

Explanation: For a fixed mass of gas the thermometer relation is T = T_triple x (PV)/(Pf Vf), with the triple point of water at 273.16 K.

Correct answer: 361K
  • A. 20X
  • B. 300X
  • C. 200X
  • D. 2X

Explanation: Average kinetic energy is proportional to absolute temperature, not to Celsius temperature, so convert first: 27 C is 300 K and 327 C is…

Correct answer: 2X
  • A. R
  • B. R2
  • C. 1/R
  • D. 1/R2

Explanation: The last line of a series is its series limit, where the electron falls from n = infinity.

Correct answer: 1/R
  • A. Balmer series
  • B. Lyman series
  • C. Paschen series
  • D. Pfund series

Explanation: Transitions that end on the third orbit produce the Paschen series, which lies in the infrared.

Correct answer: Paschen series
  • A. ⅓ mean K.E/volume
  • B. ½ Mean K.E/volume
  • C. ⅔ mean K.E/volume
  • D. Mean K.E/volume

Explanation: Starting from PV = (1/3)Nm<v^2> and writing the mean kinetic energy per molecule as (1/2)m<v^2>, the pressure becomes P = (2/3) x (total…

Correct answer: ⅔ mean K.E/volume
  • A. Qualitative
  • B. Quantitative
  • C. Both A and B
  • D. None of these

Explanation: The statement carries both kinds of information at once. It is qualitative in saying mercury is denser than water, and quantitative in…

Correct answer: Both A and B
  • A. double
  • B. one fourth
  • C. four times
  • D. half

Explanation: Density is mass divided by volume and the mass of gas is fixed, so doubling the volume at constant temperature halves the density.

Correct answer: half
  • A. decreases
  • B. remains constant
  • C. is zero
  • D. increase

Explanation: The second law of thermodynamics says the entropy of an isolated system increases in every irreversible process.

Correct answer: increase