Answer:
Explanation:
Given,
After two revolutions, angular speed = 0.5 rev/s
Angular speed after 8 revolution = ?
Using equation of circular motion
Now, Angular speed after 8 revolution
Hence, the angular speed after 8 revolution is equal to 1 rad/s.
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
Answer:
velocity of the metal cylinder = 0.343 m/s
Explanation:
Force putting the metal cylinder is given by
F = mv²/r
But this force will balance the frictional force between the metal cylinder and the turntable
The frictional force is given by
μN = μ × mg = 0.08 × 0.2 × 9.81 = 0.15696 N
r = 0.15 m, m = 0.2 kg,
F = mv²/r = 0.2 v²/(0.15) = 1.3333 v²
1.3333 v² = 0.15696
v² = 0.117
v = 0.343 m/s
Answer:
Pumping a well lowers the water level around the well to form a cone of depression in the water table. If the cone of depression extends to other nearby wells, the water level in those wells will be lowered. The cone develops in both shallow water-table and deeper confined-aquifer systems.
Explanation:
Answer:Metaloids have properties of both metals and non-metals.
Explanation: