Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202124 Aug 2021Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

The distance between the carbon atom and the oxygen atom in a carbon monoxide molecule is 1.1 Å . Given, mass of carbon atom is 12 amu and mass of oxygen atom is 16 amu. Calculate the position of the centre of mass of the carbon monoxide molecule.

Options

  1. A6.3 Å from the carbon atom
  2. B1.0 Å from the oxygen atom
  3. C0.63 Å from the carbon atom
  4. D0.12 Å from the oxygen atom

Correct answer

C. 0.63 Å from the carbon atom

Step-by-step solution

Given that, mass of oxygen, m_ O =16 amu Mass of carbon, m_ C =12 amu Distance between them, r=1.1 Å Let x be the distance of centre of mass from carbon atom By using expression of centre of mass for two particle system, X_ COM = m₁ x₁+m₂ x₂ m₁+m₂ Assuming centre of mass at orgin, we get X_ COM =0= m_ C (-x)+m_ O (r-x) m_ C +m_ O m_ C x=m_ O (r-x)m_ C x+m_ O x=m_ O rx= m_ O m_ C +m_ O r By substituting the values, we get Hence, position of centre of mass is 0.63 Å from carbon atom.

Practice Center of Mass, Momentum and Collision on Quantrex Academy →

More from Center of Mass, Momentum and Collision

A machine gun fires a bullet of mass m with a velocity of 1000 m/min. The man holding the gun can exert a force of 200 N on the gun. The product of mass of each bullet and the numb 2026Two bodies with kinetic energies in the ratio of 3:1 are moving with equal linear momentum. The ratio of their masses is 2026A body falls freely on to a hard horizontal surface. If the coefficient of restitution between the surface and the body is 0.8, then the ratio of the maximum height to which the bo 2025Two bodies of masses M and 4M initially at rest, start moving towards each other due to their mutual attraction. The velocity of their centre of mass when the first body attains a 2025A body of mass 2 kg is moving towards north with a velocity of 20 ~m ~s ⁻¹ and another body of mass 3 kg is moving towards east with a velocity of 10 ~m ~s ⁻¹ . The magnitude of th 2025A body of mass ' m ' moving along a straight line collides with a stationary body of mass ' 2 m '. After collision if the two bodies move together with the same velocity, then the 2025A disc of mass 0.2 kg is kept floating in air without falling by vertically firing bullets each of mass 0.05 kg on the disc at the rate of 10 bullets per every second. If the bulle 2025A body moving along a straight line collides another body of same mass moving in the same direction with half of the velocity of the first body. If the coefficient of restitution b 2025 Full Center of Mass, Momentum and Collision list All AP EAMCET PYQs