Verified Solution • 2025–26 Session moderate

QJEEM19Ph5b33: JEE Main 2019 Physics - Class 12 JEEM19Ph5b33 Solution: The value of numerical aperature of the objective lens of a…

The value of numerical aperature of the objective lens of a microscope is 1.25. If light of wavelength 5000 Ao\mathop A\limits^o is used, the minimum separation between two points, to be seen as distinct, will be :

Multiple Choice Options

  • A 0.12 μ\mu m
  • B 0.38 μ\mu m
  • C 0.24 μ\mu m
  • D 0.48 μ\mu m

Step-by-Step Verified Solution

Numerical aperature of the microscope is given as
NA=0.61λdNA = {{0.61\lambda } \over d}

Where d = minimum sparaton between two points to be seen as distinct
d=0.61λNA=(0.61)×(5000×10 m−10)1.25d = {{0.61\lambda } \over {NA}} = {{\left( {0.61} \right) \times \left( {5000 \times 10\,{m^{ - 10}}} \right)} \over {1.25}}
= 2.4 ×10−7 m=0.24 μm\times {10^{ - 7}}\,m = 0.24\,\mu m

Related Learning Resources & Exam Preparation