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Easy

Question

Two point white dots are 1mm apart on a black paper. They are viewed by eye of pupil diameter 3 mm. Approximately, what is the maximum distance at which dots can be resolved by the eye ? [Take wavelength of light = 500 nm]

  1. 6 m    
  2. 3 m    
  3. 5 m    
  4. 1 m    

The correct answer is: 5 m


    fraction numerator 1.22 lambda over denominator a end fraction equals fraction numerator x over denominator d end fraction rightwards double arrow d equals fraction numerator x cross times a over denominator 1.22 lambda end fraction equals fraction numerator 1 cross times 1 0 to the power of negative 3 end exponent cross times 3 cross times 1 0 to the power of negative 3 end exponent over denominator 1.22 cross times 500 cross times 1 0 to the power of negative 9 end exponent end fraction= 5m

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