A Microscope Has an Objective Lens with an Aperture of Diameter

question 19

Multiple Choice

A microscope has an objective lens with an aperture of diameter 0.50 cm where a monochromatic light source of wavelength 580 nm is used to illuminate the object.It is determined that the minimum angle of resolution is 1.13 × 10−⁴ rad.If the illuminating source were replaced by an violet source of wavelength 420 nm,what would the minimum angle of resolution now become? (1 nm = 10−⁹ m)

• A) 1.6 × 10−⁴ rad
• B) 0.98 × 10−⁴ rad
• C) 0.81 × 10−⁴ rad
• D) 0.49 × 10−⁴ rad
• E) ​1.13 × 10−⁴ rad

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Definitions:

Parens Patriae

A legal doctrine that allows the state to act as a guardian for those unable to care for themselves, such as minors or the mentally ill.

Police Power

The ability of a state to control behavior and ensure lawfulness within its territory to improve the health, safety, ethics, and overall well-being of its citizens.

Habeas Corpus

A legal principle that protects an individual from being unlawfully detained, allowing them to seek a judicial hearing to challenge the legality of their detention or imprisonment.

Dangerous

Characteristic of something that poses a risk or threat to safety, health, or well-being.