To resolve an object in an electron microscope, the wavelength of the electrons must be close to the diameter of the object. what kinetic energy must the electrons have in order to resolve a protein molecule that is 8.80 nm in diameter? take the mass of an electron to be 9.11× 10–31 kg. you should first solve for the velocity of an electron that would have a de broglie wavength equal to the diameter of the protein. then calculate the energy of an electron with this velocity, using the equation for kinetic energy given in the hint below.

An insurance company wants to know if the average speed at which men drive cars is higher than that of women drivers. the company took a random sample of 27 cars driven by men on a highway and found the mean speed to be 72 miles per hour with a standard deviation of 2.2 miles per hour. another sample of 18 cars driven by women on the same highway gave a mean speed of 68 miles per hour with a standard deviation of 2.5 miles per hour. assume that the speeds at which all men and all women drive cars on this highway are both approximately normally distributed with unknown and unequal population standard deviations.

Wavelength,frequency,and energy are related.what happens to a wave as it’s wavelength gets shorter?

What practical value did astronomy offer to ancient civilizations?