A student wants to achieve a total magnification of x400 using a microscope with a x10 eyepiece. What should be the magnification of the objective lens?

To determine the correct objective lens, we use the formula for total magnification in a compound microscope. Step 1: State the formula for total magnification. The total magnification of a compound microscope is the product of the eyepiece magnification and the objective lens magnification. Total Magnification = Eyepiece Magnification × Objective Lens Magnification Step 2: Substitute the given values into the formula. We are given: • Desired Total Magnification = × 400 • Eyepiece Magnification = × 10 Let M_objective be the objective lens magnification. 400 = 10 × M_objective Step 3: Solve for the objective lens magnification. Divide both sides by 10: M_objective = (400)/(10) M_objective = 40 Step 4: Compare the calculated objective lens magnification with the given options. The calculated objective lens magnification is × 40. This matches one of the options. The correct option is x40. x40 That's 2 down. 3 left today — send the next one.