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# A particle has a constant kinetic energy K. Which of the following quantities must also be constant?(A) Position       (B) Speed(C) Velocity       (D) Momentum

5 years ago

## Answers : (1)

Deepak Patra
471 Points
The correct options are (B) speed and (D) momentum.
Kinetic Energy (Ek) of a particle is defined as,
Ek = ½ mv2 …… (1)
Where m is the mass of the particle and v is the speed of the particle.
Since a particle has a constant kinetic energy Ek and mass of the particle m is also a constant quantity, therefore equation (1) signifies that speed of the particle must be a constant quantity.
Again since we know that, momentum of a particle (p) depends on the kinetic energy of that particle (Ek) by the relation,
P = √2mEk …… (2)
Since a particle has a constant kinetic energy Ek and mass of the particle m is also a constant quantity, therefore equation (1) signifies that momentum of the particle must be a constant quantity.
From the above observation we conclude that, option (B) and (D) are both correct.
5 years ago
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### Course Features

• 110 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions