Question

Sodium light of wavelength 5890a is used to view on object under the microscope. the numerical apreture of objective of microscope is 0.15 , the limit of resolution will be__

Answer 1

Given:

Sodium light of wavelength 5890 A° is used to view an object under the microscope. The numerical aperture of the objective of microscope is 0.15.

To find:

Limit of resolution.

Calculation:

Limit of Resolution is defined as the shortest distance between two points upto which the optical instrument can identify them as two distinct points.

It is denoted as LR ;

$\boxed{ \sf{LR = \dfrac{0.61 \times \lambda}{numerical \: aperture} }}$

$\sf{ = > LR = \dfrac{0.61 \times 5890 \times {10}^{ - 9} }{0.15} }$

$\sf{ = > LR = \dfrac{0.61 \times 5890 \times {10}^{ - 9} }{15 \times {10}^{ - 2} } }$

$\sf{ = > LR = \dfrac{0.61 \times 5890 \times {10}^{ - 7} }{15 } }$

$\sf{ = > LR = \dfrac{61 \times 5890 \times {10}^{ - 9} }{15 } }$

$\sf{ = > LR = 23952.6 \times {10}^{ - 9} }$

$\sf{ = > LR = 23.9 \times {10}^{ - 6} \: m}$

$\sf{ = > LR = 23.9 \: \mu m}$

So, final answer is:

$\boxed{ \large{\rm{LR = 23.9 \: \mu m}}}$