The equation that connects the various variables is:
distance between lines * sin(angle of diffraction) = order of band * wavelength
dsin(∅) = nλ
To calculate the spacing between the lines, we can use the information that there are 425 lines per mm, and since 1 mm is equivalent to 0.001 m, we find
d = 0.001 / 425 = 2.35 x 10⁻⁶ m
The wavelength is λ = 475 x 10⁻⁹ m
By substituting these values,
2.35 x 10⁻⁶ * sin(∅) = 1 * 475 x 10⁻⁹
∅ = 11.7°
Thus, the angle for the first-order bright band, or maxima, is 11.7°
Answer:
The books are displaced to the left due to inertia and ultimately halt when impacted by the car door.
Explanation:
The movement of the books can be understood through Newton's first two laws:
- The first law (Law of Inertia): an object will remain at rest or continue moving in a straight line unless an unbalanced force acts upon it.
- The second law: if unbalanced forces act on an object, it experiences an acceleration that can be described by the formula

where F is the object's net force, m its mass, and a its acceleration.
Now let's relate this to the scenario:
- When Argelia makes a sharp right turn, the books, which are not secured in the car, maintain their straight-line motion due to inertia so they appear to move left as the car shifts right.
- Upon contacting the car door, the books cease moving due to the second law: the door exerts an unbalanced force, causing the books to decelerate and ultimately come to rest.
Answer:
The wire length is 32 inches.
Explanation:
According to the question,
The pipe's length = 60 inches
The pipe's circumference = 4 inches
Now,
The wire wraps around the pipe for 8 complete turns.
Now, with 2πr = 4, we find that
r = 2/π
Thus,
The radius, r = 2/π
The wire's length can be calculated as,
Length = Number of turns x Circumference of the pipe
So, length of wire = 8 x 4 = 32 inches.
Consequently, the wire length is 32 inches.
Answer: The frequency is 1714.3 Hz
Explanation: The calculation is derived from the Doppler effect formula.
Since the source is approaching the observer, the observer's velocity is considered positive.
Refer to the attached document for the detailed derivation