Final answer:
The angle of diffraction can be calculated using the formula: sin(theta) = (m * lambda) / a, where m is the order of the minimum, lambda is the wavelength of the sound, and a is the width of the slit. By plugging in the given values, the technician can find the angle at which the first minimum in sound intensity will be observed.
Step-by-step explanation:
An aircraft maintenance technician observing a tall hangar door that acts like a single slit for sound entering the hangar will observe the first minimum in sound intensity at an angle with the door. To calculate this angle, we can use the concept of diffraction. The formula for calculating the angle of diffraction for a single slit is given by:
sin(theta) = (m * lambda) / a
Where:
- theta is the angle of diffraction
- m is the order of the minimum (in this case, 1)
- lambda is the wavelength of the sound (c/s)
- a is the width of the slit (in this case, the vertical opening)
By plugging in the values given in the question, we can solve for theta and find the angle of diffraction at which the technician will observe the first minimum in sound intensity.