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$\bullet$ Cerenkov radiation. The Russian physicist $\mathrm{P}$ . A. Cerenkovdiscovered that a charged particle traveling in a solid with aspeed exceeding the speed of light in that material radiateselectromagnetic radiation. (This phenomenon is analogousto the sonic boom produced by an aircraft moving faster thanthe speed of sound in air. $)$ Cerenkov shared the 1958 NobelPrize for this discovery. What is the minimum kinetic energy(in electronvolts) that an electron must have while travelinginside a slab of crown glass $(n=1.52)$ in order to createCerenkov radiation?

$$0.167 \mathrm{MeV}$$

Physics 101 Mechanics

Chapter 27

Relativity

Gravitation

Cornell University

Rutgers, The State University of New Jersey

Hope College

Lectures

03:55

In physics, orbital motion is the motion of an object around another object, which is often a star or planet. Orbital motion is affected by the gravity of the central object, as well as by the resistance of deep space (which is negligible at the distances of most orbits in the Solar System).

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Sir Isaac Newton described the law of universal gravitation in his work "Philosophiæ Naturalis Principia Mathematica" (1687). The law states that every point mass attracts every single other point mass by a force pointing along the line intersecting both points. The force is proportional to the product of the two masses and inversely proportional to the square of the distance between them.

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$\bullet$ Cerenkov radiati…

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The Russian physicist P. A…

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Cerenkov radiation the Rus…

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(a) Derive a formula for t…

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(a) What is the minimum en…

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A photon with energy 2.28 …

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All right, So in this problem were given that the index of refraction in our material is 1.52 and index of refraction is, um, see, divided by the where V is the speed of light in the medium, so V is equal to C over 1.52 And in order to produce tranq of radiation, the electron must have the kinetic energy that's associated with this philosophy as to exceed that velocity in order to produce the radiation. And, um, this, um, velocity is associated with the kinetic energy of M C squared Cameron minus one. And the rest energy of an electron is 511 k e v. So this is going to be five eleven 11 times one over the square root of one minus, um, one over 1.52 squared because, um, this is V squared over C squared and we subtract one from this, and this will give an answer in kill electron volts.

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