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July 2022

Home2022JulyPage 10

61. The velocity of the molecules of a gas at temperature 120K is v . At what temperature will the velocity be 2v

(a)  120 K                                 (b)  240 K (c)   480 K                                 (d)  1120 K Answer-c (5)

14. The specific heat of an ideal gas is

(a)  Proportional to T                     (b)  Proportional to T2 (c)   Proportional to T3                 ...

59. What is the velocity of wave in monoatomic gas having pressure 1 kilopascal and density

2.6 kg/cm3 (a) 3.6 m/s                               ...

58. The r.m.s. speed of gas molecules is given by

(a) 2.5√RT/M                                     ...

57. According to the kinetic theory of gases, at absolute temperature

(a)  Water freezes                      (b)  Liquid helium freezes (c)   Molecular motion...

56. Molecular motion shows itself as

(a)  Temperature                    (b)  Internal Energy (c)   Friction                              (d)  Viscosity Answer-a (5)

55. If the ratio of vapour density for hydrogen and oxygen is 1/16 , then under constant pressure the ratio of their rms velocities will be

(a) 4/1                                     ...

54. The r.m.s. speed of a group of 7 gas molecules having speeds (6, 4, 2, 0, – 2, – 4, – 6) m/s is

(a)  1.5 m/s                              (b)  3.4 m/s (c)   9 m/s                                 (d)  4 m/s Answer-d (5)

53. If mass of He atom is 4 times that of hydrogen atom then mean velocity of He is

(a)  2 times of H-mean value (b)  1/2 times of H-mean value (c)   4 times of H-mean value (d)  Same...

52.

If VH, VN  and VO denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a...

51. For a gas at a temperature the root-mean-square velocity

Vrms the most probable speed Vmp and the average speed Vav  obey the relationship (a)  Vav  >Vrms   >  Vmp ...

50. Let A and B the two gases and given :

(TA/MA)=4(TB/MB)  where  is the temperature and M is molecular mass. If CA and CB  are the r.m.s. speed, then the...

49. The root mean square speed of hydrogen molecules at 300 K is 1930 m/s. Then the root mean square speed of oxygen molecules at 900 K will be

(a)  1930√3 m/s                         (b) 836 m/s (c)  643 m/s ...

48. At a given temperature if

Vrms is the root mean square velocity of the molecules of a gas and  the  Vs velocity of sound in...

47. Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will

(a)  Increase (b)  Decrease (c)   Remain same (d)  Decrease for some, while increase for others Answer-c (9)

46. The r.m.s. speed of the molecules of a gas in a vessel is 400 m/s . If half of the gas leaks out, at constant temperature, the r.m.s. speed of the remaining molecules will be

(a)  800  m/s                          (b) 400√2 m/s (c)   400...

45. The temperature of an ideal gas is reduced from

927°C to 27°C. The m.s. velocity of the molecules becomes (a)  Double the initial value (b)  Half of the initial...

44. To what temperature should the hydrogen at room temperature (27°C) be heated at constant pressure so that the R.M.S. velocity of its molecules becomes double of its previous value

(a)  1200°C                              (b)  927°C (c)   600°C                                (d)  108°C Answer-b (4)

43. If the oxygen

(O2) has root mean square velocity of C ms–1, then root mean square velocity of the hydrogen (H2) will be...

42. At a given temperature the ratio of r.m.s. velocities of hydrogen molecule and helium atom will be

(a) √2:1                                 (b) 1:√2 (c)  ...

41. The speeds of 5 molecules of a gas (in arbitrary units) are as follows : 2, 3, 4, 5, 6. The root mean square speed for these molecules is

(a)  2.91                                   (b)  3.52 (c)   4.00                                   (d)  4.24 Answer-d (6)

40. By what factor the r.m.s. velocity will change, if the temperature is raised from

27°C to 327°C (a) √2                               ...

38. In the two vessels of same volume, atomic hydrogen and helium at pressure 1 atm and 2 atm are filled. If temperature of both the samples is same, then average speed of hydrogen atoms

< CH > will be related to that of helium < CHe > as (a) < CH >=√2 < CHe...

37. On any planet, the presence of atmosphere implies

( Crms = root mean square velocity of molecules and  Ve = escape velocity) (a) Crms < Ve                                  (b)...

39. At a given temperature the r.m.s. velocity of molecules of the gas is

(a)  Same (b)  Proportional to molecular weight (c)   Inversely proportional to molecular weight (d)  Inversely proportional to square root of...

85. Air is filled in a bottle at atmospheric pressure and it is corked at 35°C. If the cork can come out at 3 atmospheric pressure than upto what temperature should the bottle be heated in order to remove the cork

(a)  325.5°C                                     (b)  851°C (c)   651°C                           ...

23. At which temperature the velocity of

O2 molecules will be equal to the velocity of N2 molecules at 0°C (a)  40°C                                          (b)  93°C (c)   39°C   ...

16. At room temperature, the r.m.s. speed of the molecules of certain diatomic gas is found to be 1930 m/s. The gas is

(a) H2                                     ...

36. The value of densities of two diatomic gases at constant temperature and pressure are

d1 and d2 , then the ratio of speed of sound in these gases will be (a) d1d2                                             ...

35. At temperature T, the r.m.s. speed of helium molecules is the same as r.m.s. speed of hydrogen molecules at normal temperature and pressure. The value of T is

(a) 273°C                                        (b)  546°C (c)   0°C                             ...

34. The root mean square speed of the molecules of a gas is

(a) Independent of its pressure but directly proportional to its Kelvin temperature (b)  Directly proportional to the square roots of...

33. Root mean square velocity of a particle is v at pressure P. If pressure is increased two times, then the r.m.s. velocity becomes

(a) 2 v                                   ...

32. The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the root mean square velocity of the gas molecules is v, at 480 K it becomes

(a)  4v                                     ...

31. The temperature of the hydrogen at which the average speed of its molecules is equal to that of oxygen molecules at a temperature of 31°C, is

(a)  – 216°C                                     (b)  – 235°C (c)   – 254°C                       ...

30. r.m.s. velocity of nitrogen molecules at NTP is

(a) 492 m /s                                    (b)  517 m/s (c)   546 m/s                     ...

29. At what temperature the molecules of nitrogen will have the same r.m.s. velocity as the molecules of oxygen at 127°C

(a) 77°C                                          (b)  350°C (c)   273°C                             ...

28. At a given temperature the root mean square velocities of oxygen and hydrogen molecules are in the ratio

(a)  16 : 1                                         (b)  1 : 16 (c)   4 : 1                 ...

27. According to the kinetic theory of gases the r.m.s. velocity of gas molecules is directly proportional to

(a) T                                 (b)  √T (c)...

26. The temperature of an ideal gas is increased from 27°C to 927°C. The root mean square speed of its molecules becomes

(a) Twice                                         (b)  Half (c)   Four times                           ...

25. Two vessels having equal volume contains molecular hydrogen at one atmosphere and helium at two atmospheres respectively. If both samples are at the same temperature, the mean velocity of hydrogen molecules is

(a) Equal to that of helium            (b)  Twice that of helium (c)   Half that of helium         ...

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