As per the given question,
We know that "I=I_o \\cos^2\\theta"
When any ray of light is passing through any polarizer then, it's intensity becomes, 1/2 of the initial intensity of light,
"\\Rightarrow I_o\/2=I_o\\cos^2\\theta"
"\\Rightarrow \\cos^2\\theta=\\dfrac{1}{2}"
"\\Rightarrow \\cos\\theta=\\sqrt{\\dfrac{1}{2}}=\\cos 45^\\circ"
"\\theta=45^\\circ"
b) Now, "I_2=I_1\\cos^2\\theta"
"I_2=\\dfrac{I_o}{2}\\cos^2(10+8R)"
Here the value of R is not given,
c) As per the question "I_2= (R+1)\\% of I_o\/2"
"\\Rightarrow (R+1)\\dfrac{I_o}{2\\times 100}=\\dfrac{I_o}{2}\\cos^2(10+8R)"
"\\Rightarrow \\dfrac{(R+1)}{100}=\\cos^2(10+8R)"
value of R must be given.
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