A ray of light travelling in impure water is incident on a glass plate immersed in it. When the angle of incidence is $51^{o}$ , the reflected ray is totally plane polarized. Given that refractive index of impure water if $1.4$ . The refractive index of glass should be __________. $(tan 51^{o} = 1.235)$ .

1.64

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1.34

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1.53

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1.73

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Solution

The correct option is B $1.73$
Polarising angle $θ_{p} = 51^{o}$
Refractive index of impure water $n_{w} = 1.4$
Using $\frac{n_{g}}{n_{w}} = tan θ_{p}$
$∴$ $\frac{n_{g}}{1.4} = tan 51^{o} = 1.235$
$⟹ n_{g} = 1.73$
Correct answer is option D.

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A ray of light travelling in impure water is incident on a glass plate immersed in it. When the angle of incidence is 51o, the reflected ray is totally plane polarized. Given that refractive index of impure water if 1.4. The refractive index of glass should be __________.(tan51o=1.235).

The correct option is B 1.73Polarising angle θp=51oRefractive index of impure water nw=1.4Using ngnw=tanθp∴ ng1.4=tan 51o=1.235⟹ ng=1.73Correct answer is option D.

The correct option is B $1.73$
Polarising angle $θ_{p} = 51^{o}$
Refractive index of impure water $n_{w} = 1.4$
Using $\frac{n_{g}}{n_{w}} = tan θ_{p}$
$∴$ $\frac{n_{g}}{1.4} = tan 51^{o} = 1.235$
$⟹ n_{g} = 1.73$
Correct answer is option D.