Answer:
1.696 nm
Explanation:
For a diffraction grating, dsinθ = mλ where d = number of lines per metre of grating = 5510 lines per cm = 551000 lines per metre and λ = wavelength of light = 467 nm = 467 × 10⁻⁹ m. For a principal maximum, m = 1. So,
dsinθ = mλ = (1)λ = λ
dsinθ = λ
sinθ = λ/d.
Also tanθ = w/D where w = distance of center of screen to principal maximum and D = distance of grating to screen = 1.03 m
From trig ratios 1 + cot²θ = cosec²θ
1 + (1/tan²θ) = 1/(sin²θ)
substituting the values of sinθ and tanθ we have
1 + (D/w)² = (d/λ)²
(D/w)² = (d/λ)² - 1
(w/D)² = 1/[(d/λ)² - 1]
(w/D) = 1/√[(d/λ)² - 1]
w = D/√[(d/λ)² - 1] = 1.03 m/√[(551000/467 × 10⁻⁹ )² - 1] = 1.03 m/√[(1179.87 × 10⁹ )² - 1] = 1.03 m/1179.87 × 10⁹ = 0.000848 × 10⁻⁹ = 0.848 × 10⁻¹² m = 0.848 nm.
w is also the distance from the center to the other principal maximum on the other side.
So for both principal maxima to be on the screen, its minimum width must be 2w = 2 × 0.848 nm = 1.696 nm
So, the minimum width of the screen must be 1.696 nm
Stop lines are solid white lines painted across the traffic lanes at intersections and pedestrian crosswalks, indicating the exact place to stop.
Answer:
Explanation:
Given:
- mass of solid cylinder,
- diameter of cylinder,
- mass of bucket of water,
<em>When the bucket is released to fall in the well, it fall under the acceleration due to gravity.</em>
We have formula for angular acceleration as:
where:
g = acceleration due to gravity
r = radius of the cylinder
Gravitational potential energy can be calculated using the formula <span>PE = m × g × h, where g is the gravitational acceleration and is constant hence the energy is dependent directly to mass and the height of the object. Hence more PE is registered when the object is heavier and/or at greater initial height. </span>
<h2>Answer:</h2>
<u>A forest ranger might be ranked as being high in </u><u>Naturalistic</u><u> intelligence.</u>
<h2>Explanation:</h2>
Naturalistic intelligence is the type of intelligence that relates the activities of people that how sensitive an individual is to nature and the world. Zookeepers, biologists, gardeners, and veterinarians are among those people who have a higher capability of having high naturalist intelligence. Similarly a ranger who is fighting in forests must also be kept in the same category and he might be ranked as being high in the field of Naturalistic Intelligence.
