As per the given question,
the refractive index of the core (n1)=1.55(n_1)=1.55(n1)=1.55
Refractive index of cladding (n2)=1.53(n_2)=1.53(n2)=1.53
Numerical aperture of the optical fiber(NA)=n12−n22(NA)=\sqrt{n_1^2-n_2^2}(NA)=n12−n22
Now, substituting the values in the above,
NA=1.552−1.532NA=\sqrt{1.55^2-1.53^2}NA=1.552−1.532
⇒NA=0.0616\Rightarrow NA=\sqrt{0.0616}⇒NA=0.0616
⇒NA=0.248∼0.25\Rightarrow NA=0.248\sim0.25⇒NA=0.248∼0.25
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