Complete Question
The complete question is shown on the first uploaded image
Answer:
A
[tex]v_w = 2.256 *10^{8} \ m/s[/tex]
B
[tex]v_e = 2.21 *10^{8} \ m/s[/tex]
C
The correct option is B
Explanation:
From the question we are told that
The refractive index of water is [tex]n_w = 1.33[/tex]
The refractive index of ethanol is [tex]n_e = 1.36[/tex]
Generally the threshold velocity for creating Cherenkov light from a charged particle as it travels through water is mathematically evaluated as
[tex]v_w = \frac{c}{n_w }[/tex]
Where c is the speed of light with value [tex]c = 3.0 *10^{8} \ m/s[/tex]
[tex]v_w = \frac{3.0 *10^{8}}{1.33 }[/tex]
[tex]v_w = 2.256 *10^{8} \ m/s[/tex]
Generally the threshold velocity for creating Cherenkov light from a charged particle as it travels through water is mathematically evaluated as
[tex]v_e = \frac{ c}{n_e }[/tex]
=> [tex]v_e = \frac{3.0 *10^{8}}{1.36 }[/tex]
=> [tex]v_e = 2.21 *10^{8} \ m/s[/tex]
