The near point of the eye that the glasses are prescribed for is 16.43 cm.
The formula to be used for calculation is -
[tex] \frac{1}{f} [/tex] = [tex] \frac{1}{v} [/tex] - [tex] \frac{1}{u} [/tex]
The value of u will be 25 cm and we need to calculate v, which is the near point of the eye.
Keep the values in formula -
[tex] \frac{1}{48} [/tex] = [tex] \frac{1}{v} [/tex] - [tex] \frac{1}{25} [/tex]
Rewriting the equation according to v
[tex] \frac{1}{v} [/tex] = [tex] \frac{1}{48} [/tex] + [tex] \frac{1}{25} [/tex]
Performing addition of fractions
[tex] \frac{1}{v} [/tex] = [tex] \frac{25 + 48}{48 × 25} [/tex]
Performing addition in numerator and multiply in denominator on Right Hand Side of the equation
[tex] \frac{1}{v} [/tex] = [tex] \frac{73}{1200} [/tex]
So, the value of v is -
v = 1200/73
Performing division on Right Hand Side of the equation
v = 16.43 cm
Hence, the near point is 16.43 cm.
Learn more about near point -
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