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Why light has momentum even without mass?

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In the video titled "Why light has momentum even without mass?", Mahesh embarks on a journey to unravel one of the mysteries of physics: how can light possess momentum without having mass? The traditional understanding suggests that momentum is a product of mass and velocity, which would imply that light, having no mass, should have no momentum. However, this is not the case. Delving deeper, Mahesh recalls Einstein's famous equation and its implications for light. The true essence of momentum is explored, defining it as the ability to push and move objects. This definition leads to the observation that light, especially from powerful sources like the sun, can indeed push objects, as evidenced by the behavior of comet tails. The story then shifts to the heart of the matter: electromagnetic waves. Light, being an electromagnetic wave, consists of oscillating electric and magnetic fields. While the electric field can push charged particles, it doesn't result in a net momentum transfer. The hero of the story turns out to be the magnetic field, which consistently pushes charged particles in the direction of the light's propagation, resulting in a net momentum transfer. Using the Lorentz force equation and the relationship between electric and magnetic fields in an electromagnetic wave, Mahesh derives the equation that relates light's momentum to its energy. The conclusion is both enlightening and surprising: while the electric field in light transfers energy, it's the often-overlooked magnetic field that imparts momentum. The video concludes with the presenter's excitement about this revelation and hints at more intriguing explorations in future videos.
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