Question

What is the threshold velocity vthreshold(water) (i.e., the minimum velocity) for creating Cherenkov light from a charged particle as it travels through water (which has an index of refraction of n

Answer 1

Complete Question

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Answer:

A

`v_w = 2.256 *10^(8) \ m/s`

B

`v_e = 2.21 *10^(8) \ m/s`

C

The correct option is B

Step-by-step explanation:

From the question we are told that

The refractive index of water is
`n_w = 1.33`

The refractive index of ethanol is
`n_e = 1.36`

Generally the threshold velocity for creating Cherenkov light from a charged particle as it travels through water is mathematically evaluated as

`v_w = (c)/(n_w )`

Where c is the speed of light with value
`c = 3.0 *10^(8) \ m/s`

`v_w = (3.0 *10^(8))/(1.33 )`

`v_w = 2.256 *10^(8) \ m/s`

Generally the threshold velocity for creating Cherenkov light from a charged particle as it travels through water is mathematically evaluated as

`v_e = ( c)/(n_e )`

=>
`v_e = (3.0 *10^(8))/(1.36 )`

=>
`v_e = 2.21 *10^(8) \ m/s`