Question

Be sure to answer all parts. An electron microscope focuses electrons through magnetic lenses to observe objects at higheir magnification than is possible with a light microscope. For any microscope, the smallest object that can be observed is one-half the wavelength of the radiation used. Thus, for example, the smallest object that can be observed with light of 400.0 nm is 2.00 x 10m (a) What is the smallest object observable with an electron microscope using electrons moving at 3.70 x 104 m/s? x 10 (eleet) 2 m (Enter your answer in scientific notation.) (b) At 3.50 x 107 m/s? x 1o (selec) ^ m (Enter your answer in scientific notation.)

Answer 1

Using de Broglie's theory mu where, h- plank's constant- 6.626x10 34 31 m- mass of electron 9.11x10 λ wavelength u-speed of moving electron Part A 6.626x10-34 9.11 × 10-31X3.70× 104 -1.97 x10-8m The smallest object that can be seen observed is one halfof wavelength So, The smallest object that can be seen observed is λ/2 9.83 x 10-9m Part B 6.626x10-34 9,11x10-31x3.50x107 2.0% 10-11 So, The smallest object that can be seen observed is λ/2 1.04x10-11m