Q. Which graph represents the Maxwell-Boltzmann distribution of molecular speeds at increasing temperatures?

कौन सा ग्राफ़ बढ़ते तापमान पर आणविक गति के मैक्सवेल-बोल्ट्ज़मैन वितरण को दर्शाता है?

A
A graph showing the peak shifting to the left
एक ग्राफ़ जो शिखर को बाईं ओर खिसकता हुआ दिखा रहा है
B
A graph showing the peak shifting to the right
एक ग्राफ़ जो शिखर को दाईं ओर खिसकता हुआ दिखा रहा है
C
A graph with no change in peak position
एक ग्राफ़ जिसमें चरम स्थिति में कोई बदलाव नहीं है
D
A graph with multiple peaks
अनेक शिखरों वाला ग्राफ़

Explanation

As temperature increases in Maxwell-Boltzmann distribution:

Changes observed:

  1. Peak shifts to the right (higher velocities)
  2. Peak height decreases (distribution spreads out)
  3. Curve becomes broader (wider range of velocities)
  4. Area under curve remains constant (total number of molecules)

Physical reasoning:

  • Higher T → higher average kinetic energy
  • Higher KE → higher molecular speeds
  • More molecules at higher velocities
  • Peak moves toward higher velocity values

Mathematical basis:

  • Peak occurs at v_mp = √(2kT/m)
  • As T increases, v_mp increases ∝ √T

Invest in Future Achievers

Your support helps keep Exam Achiever 100% free for students preparing for exams.

Thanks for your support!

More From This Topic

Related Questions

Related Topics

Atomic Structure & Bonding Solutions Surface Chemistry Solid State Nuclear Chemistry

Comments

Leave a Comment

Invest in Future Achievers

Your support helps keep Exam Achiever 100% free for students preparing for exams.

Thanks for your support!

People Also Search For

Illustration of a clipboard with a checklist and pencil, bright and colorful style

Ready for a Challenge?

Take our Free timed mock tests to sharpen your skills and boost your confidence!