Your approach is correct, but you need to calculate the wavelength using the de Broglie wavelength formula. You have identified the mass (m) and speed (v) of the proton, and the Planck's constant (h). Now, you can find the wavelength using the formula:
λ = h / (m * v)
You have correctly set up the calculation, but you haven't carried out the correct multiplication in the denominator.
λ = (6.63 E-34) / (1.66 E-27 * 5.00 E6)
λ = (6.63 E-34) / (8.30 E-21)
To carry out this calculation, divide:
λ = 7.98 E-14 m
So, the correct answer is 7.98 E-14 m.
Using Planck's constant as h=6.63 E-34 J*s, what is the wavelength of a proton with a speed of 5.00 E6 m/s? The mass of the proton is 1.66 E-27 kg. Remember to identify your data, show your work, and report the answer using the correct number of significant digits and units.
m=1.66 v=5.00 h=6.63
(6.63)/ (1.66 x 5.00) = 6.63/8.3=0.79
My answer is 0.79 E-34 m. Is this correct?
1 answer
1 answer