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Saturday, 31 October

JEE Main 2023 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 11 April 2023, Shift 2, Physics Q32

Question 32 of 90 in this shift, Physics question 2 of 30, Section A.

The root mean square speed of molecules of nitrogen gas at 27∘C27^\circ\mathrm{C} is approximately : (Given mass of a nitrogen molecule = 4.6×10−26 kg4.6\times10^{-26}\ \mathrm{kg} and take Boltzmann constant kB=1.4×10−23 JK−1\mathrm{k_B} = 1.4\times10^{-23}\ \mathrm{JK^{-1}})
  1. (1)27.4 m/s27.4\ \mathrm{m/s}
  2. (2)91 m/s91\ \mathrm{m/s}
  3. (3)523 m/s523\ \mathrm{m/s}Official answer
  4. (4)1260 m/s1260\ \mathrm{m/s}

Official answer

Option 3

NTA final key.

Same idea in other shifts

Asked 12× in all
  1. 6 Apr 2023, Shift 2 · Q39The temperature of an ideal gas is increased from 200 K to 800 K. If r.m.s. speed of gas at 200 K is v0v_0. Then, r.m.s. speed of the gas…EasySingle correct
  2. 11 Apr 2023, Shift 1 · Q43Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second…EasySingle correct
  3. 12 Apr 2023, Shift 1 · Q39If the r. m. s speed of chlorine molecule is 490 m/s at 27∘27^\circC, the r. m. s speed of argon molecules at the same temperature will be…EasySingle correct
  4. 27 Jul 2022, Shift 1 · Q39Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the number of molecules is 1:4, then A. The…EasyOther
  5. 28 Jul 2022, Shift 1 · Q38Given below are two statements : Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.…MediumTwo statements
  6. 28 Jul 2022, Shift 2 · Q8A vessel contains 14 g of nitrogen gas at a temperature of 27∘27^\circC. The amount of heat to be transferred to the gas to double the…MediumSingle correct
  7. 29 Jul 2022, Shift 2 · Q49The root mean square speed of smoke particles of mass 5×10−175\times10^{-17} kg in their Brownian motion in air at NTP is approximately. [Given…EasySingle correct
  8. 30 Jul 2022, Shift 2 · Q8If the r.m.s speed of oxygen at room temperature is 56 m/s\sqrt{56}\ \mathrm{m/s}. The r.m.s speed of nitrogen at the same temperature is…EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.