Answer:
a) it is periodic
N = (20/3)k = 20 { for K =3}
b) it is Non-Periodic.
N = ∞
c) x(n) is periodic
N = LCM ( 5, 20 )
Explanation:
We know that In Discrete time system, complex exponentials and sinusoidal signals are periodic only when ( 2π/w₀) ratio is a rational number.
then the period of the signal is given as
N = ( 2π/w₀)K
k is least integer for which N is also integer
Now, if x(n) = x1(n) + x2(n) and if x1(n) and x2(n) are periodic then x(n) will also be periodic; given N = LCM of N1 and N2
now
a) cos(2π(0.15)n)
w₀ = 2π(0.15)
Now, 2π/w₀ = 2π/2π(0.15) = 1/(0.15) = 1×20 / ( 0.15×20) = 20/3
so, it is periodic
N = (20/3)k = 20 { for K =3}
b) cos(2n);
w₀ = 2
Now, 2π/w₀ = 2π/2) = π
so, it is Non-Periodic.
N = ∞
c) cos(π0.3n) + cos(π0.4n)
x(n) = x1(n) + x2(n)
x1(n) = cos(π0.3n)
x2(n) = cos(π0.4n)
so
w₀ = π0.3
2π/w₀ = 2π/π0.3 = 2/0.3 = ( 2×10)/(0.3×10) = 20/3
∴ N1 = 20
AND
w₀ = π0.4
2π/w₀ = 2π/π0. = 2/0.4 = ( 2×10)/(0.4×10) = 20/4 = 5
∴ N² = 5
so, x(n) is periodic
N = LCM ( 5, 20 )
Answer:
Calcium Chloride
Brine Wash
Drierite
Explanation:
Removal of small amounts of water from a polar solvent is Calcium Chloride
Removal of visible pockets of water from an organic solvent is Brine Wash
Storage of solvents or other materials in a desiccator is Drierite
Answer:
0.577
Explanation:
Answer:
Explanation:
Parameters given:
Angle = 30°
Mass of block = 5kg
Velocity = 6 m/s
Time = 4s
Frictional force is given in terms of Normal force as:
F = uN
Where u = coefficient of frictional force
N = normal force
Frictional force is given as:
F = mgsinθ
Normal force is given as:
N = mgcosθ
Coefficient of friction is therefore given as:
mgsinθ = u * mgcosθ
=> u = sinθ / cosθ
u = tanθ
u = tan(30°)
u = 0.577
Answer:
time = 224 days
Explanation:
given data
thick = 30 m
piezometers = 280 m
head between two = 1.4 m
aquifer hydraulic conductivity = 50 m
porosity = 20%
solution
we get here average pole velocity that is get by using Darcy law that is
Va = ................1
here Va is average pole velocity and k is hydraulic conductivity and is porosity
here v is = ...........2
v = 50 ×
v = 0.25 m/day
and here average linear velocity Va will be
Va =
Va =
Va = 1.25 m/day
travel time for water will be
time =
time = 224 days