Answer:
Angle of first order maximum, 
Explanation:
Given that,
Wavelength of the light, 
Number of lines, N = 8000 per cm
The relation between the number of lines and the slit width is given by :


The equation of grating is given by :

n = 1



So, the angle of the first-order maximum is 21.19 degrees. Hence, this is the required solution.
Answer:
a) α = 0.338 rad / s² b) θ = 21.9 rev
Explanation:
a) To solve this exercise we will use Newton's second law for rotational movement, that is, torque
τ = I α
fr r = I α
Now we write the translational Newton equation in the radial direction
N- F = 0
N = F
The friction force equation is
fr = μ N
fr = μ F
The moment of inertia of a saying is
I = ½ m r²
Let's replace in the torque equation
(μ F) r = (½ m r²) α
α = 2 μ F / (m r)
α = 2 0.2 24 / (86 0.33)
α = 0.338 rad / s²
b) let's use the relationship of rotational kinematics
w² = w₀² - 2 α θ
0 = w₀² - 2 α θ
θ = w₀² / 2 α
Let's reduce the angular velocity
w₀ = 92 rpm (2π rad / 1 rev) (1 min / 60s) = 9.634 rad / s
θ = 9.634 2 / (2 0.338)
θ = 137.3 rad
Let's reduce radians to revolutions
θ = 137.3 rad (1 rev / 2π rad)
θ = 21.9 rev
Answer:
72.04 dB.
Explanation:
The intensity level of 60dB corresponds to the sound intensity
given by the equation

where 
solving for
we get:



Now, when 16 violins are playing the intensity
becomes

which on the decibel scale gives

.
Thus, playing 16 violins together gives the intensity level of 72 dB.