- #1
stuDYING
- 2
- 2
- Homework Statement
- Even a grapefruit has a de Broglie wavelength.
If the grapefruit is thrown with a speed of 8 m/s toward a wall with two holes separated by 0.6 m, find the angular separation between successive maxima of the resulting interference pattern. Treat the grapefruit as point-like and assume its mass is 0.6 kg. Planck’s constant is 6.62607 × 10^−34 J · s. Answer in units of radian.
- Relevant Equations
- lambda = h/p
I tried using lamba = h/p as follows:
(6.626 * 10^-34 J *s) / (8 m.s * 0.6 kg) = 1.38041667*10^−34
and then using the small angle approximation sin(alpha) = lamba/d as follows:
(1.38041667*10^−34)/(0.6m) = 2.30069444 * 10^−34
then converting to radians with the following:
(2.30069444 * 10^−34) * (pi/180) = 4.01546931* 10^−36
However, this answer is none of the answer choices so I did something wrong. I think I might have not been supposed to use the small angle approximation but I'm not sure if that's the only thing and if so how to fix it.
(6.626 * 10^-34 J *s) / (8 m.s * 0.6 kg) = 1.38041667*10^−34
and then using the small angle approximation sin(alpha) = lamba/d as follows:
(1.38041667*10^−34)/(0.6m) = 2.30069444 * 10^−34
then converting to radians with the following:
(2.30069444 * 10^−34) * (pi/180) = 4.01546931* 10^−36
However, this answer is none of the answer choices so I did something wrong. I think I might have not been supposed to use the small angle approximation but I'm not sure if that's the only thing and if so how to fix it.