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In the lecture from today, 10/19, Dr. Lavelle worked out a question where a car, weighing 1500 kg travelled at 27 m/s, and we had to find the De Broglie Wavelength. In terms of units, Planck's Constant is in Joule seconds, mass is in kilograms, and velocity is in meters per second. This question worked out fine, since all of the units are correct. If the question gave us a different mass unit, such as grams, would we have to convert the mass into kilograms to use the De Broglie Equation? If we use grams instead of kilograms for a smaller object, I think our answer for the wavelength would be a thousand times too large.
Yes, you have to convert the mass from grams to kilograms. Joules is measured in kg m^2 s^-2. Therefore, in order for the De Broglie Equation to work you have to use a mass with kilograms in order to cancel out with the kg in Joules in Planck's Constant.
Yes, you must always convert your units to match within your calculations! Therefore, in that case a mass of grams should be converted to kilograms in order to solve the problem.
Yes, you should convert to kg
If you were to use grams, you would get milliJoules instead of Joules and you would have to multiply by to get the right units in joules.
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