Verified Solution • 2025–26 Session moderate

QNEET-2018-Ph-909: NEET 2018 Physics - Class 11 NEET-2018-Ph-909 Solution: At what temperature will the rms speed of oxygen molecules…

At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere? (Given: Mass of oxygen molecule (m) = 2.76×10−26 kg2.76 \times 10^{-26}\ \text{kg} Boltzmann's constant kB=1.38×10−23 J K−1k_B = 1.38 \times 10^{-23}\ \text{J K}^{-1}) 2.508×104 K2.508 \times 10^4\ \text{K} 8.360×104 K8.360 \times 10^4\ \text{K} 5.016×104 K5.016 \times 10^4\ \text{K} 1.254×104 K1.254 \times 10^4\ \text{K}

Multiple Choice Options

  • A 2.508 _ 10 4 K
  • B 8.360 _ 10 4 K
  • C 5.016 _ 10 4 K
  • D 1.254 _ 10 4 K

Step-by-Step Verified Solution

Escape velocity from the Earth�s surface is vescape = 11200 m s �1 Let at temperature T, rms speed of oxygen molecules become just sufficient for escaping from the Earth�s atmosphere. Also, V rms = V escape = 3 k B T m O 2 _ 11200 = 3 _ 1.38 _ 10 _ 23 _ T 2.76 _ 10 _ 26 _ T = 8.360 _ 10 4 K

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