Home
Class 11
PHYSICS
A boy recalls the relation for relativis...

A boy recalls the relation for relativistic mass (m) in terms of rest mass `(m_(0))` velocity of particle v, but forgets to put the constant c (velocity of light). He writes m= `(m_(0))/((1-v^(2))^(1//2))` correct the equation by putting the missing 'c'.

Text Solution

Verified by Experts

Since quantities of similar nature can only be added or subtracted, `v^(2)` cannot be subtracted from 1 but `v^(2) // c^(2)` can be subtracted from 1 .
`:. m = (m_(0))/(sqrt(1-v^(2)//c^(2)))`
Promotional Banner

Topper's Solved these Questions

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED ( SHORT ANSWER QUESTIONS (2 MARK))|20 Videos
  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (MULTIPLE CHOICE QUESTIONS)|110 Videos
  • MOTION OF SYSTEM OF PARTICLES AND RIGID BODIES

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED - III (LONG ANSWER QUESTIONS (5 MARKS))|6 Videos
  • OSCILLATIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (IV NUMERICAL PROBLEMS )|10 Videos

Similar Questions

Explore conceptually related problems

When a material particle of rest mass m_(0) , attains the velocity of light, its mass becomes.

A particle of mass 'm' moving with velocity 'v' collides with a mass m_(2) at rest, then they get embedded. At the instant of collision, velocity of the system

A bullet of mass m and velocity v_1 is fired into a large block of wood of mass M. The final velocity of the system is

What is the momentum of an object of mass m, moving with a velocity v ?

A particle of mass (m) is moving with constant velocity (v). Show that its angular momentum about any point renains constant throughout the motion.

The de-Broglie wavelength of a particle with mass 1 g and velocity 100 m//s is

Suppose the particle of the previous problem has a mass m and a speed v before the collision and it sticks to the rod after the collision. The rod has a mass M. a. Find the velocity of the particle with respect to C of the system consituting the rod plus the particle. b. Find the velociyt of the particle with respect to C before the collision. c. Find the velocity of the rod with respect to C before the colision. e. find the moment of inertia of the system about the vertical axis through the centre of mass C after the collision. f. Find the velociyt of the centre of mass C and the angular velocity of the system about the centre of mass after the collision.

A particle of mass m moving with velocity v strikes a particle of mass 2m at rest and sticks to it. The speed of the combined mass is