When you hold an insect at the near point of your eye it subtends an angle of 5.00 10-3 rad. Determine the angular size (magnitude only) of the insect when viewed through a microscope that has an angular magnification with a magnitude of 117.

what is 117*5E-3 radians?

To determine the angular size of the insect when viewed through a microscope with an angular magnification, you need to use the formula:

Angular magnification = (Angular size of image) / (Angular size of object)

In this case, the angular magnification is given as 117. Let's assume the angular size of the insect when held at the near point of the eye is "θ". So, the formula becomes:

117 = (Angular size of image) / θ

Solving for the angular size of the image, we get:

Angular size of image = 117 * θ

Since the angular size of the image is given as 5.00 x 10^(-3) rad, we can substitute this value into the equation:

5.00 x 10^(-3) rad = 117 * θ

To find the value of θ, we can rearrange the equation:

θ = (5.00 x 10^(-3) rad) / 117

Calculating this, we find:

θ ≈ 4.27 x 10^(-5) rad

Therefore, the angular size of the insect when viewed through the microscope is approximately 4.27 x 10^(-5) rad.