|V| = 10.33 units and the direction θ = -47.35° or 312.65°.
Given the x and y components of a vector, we can calculate the magnitude and direction from these components.
Applying the Pythagorean theorem we have that the magnitude of the vector is:
|V| =
|V| =
The expression for the direction of a vector comes from the definition of the tangent of an angle:
tan θ = ------> θ = arc tan
θ = arc tan
θ = -47.35° or 312.65°
In order to calculate the angle, we can use the formula below for a constructive interference (the interference is constructive because the fringe is bright):
Where d is the distance between the slits, m is the order of the interference and lambda is the wavelength.
So, using d = 8.25 * 10^-5, m = 2 and lambda = 4.5 * 10^-7, we have:
Therefore the correct option is the second one.
Answer:
Explanation:
The rod will act as pendulum for small oscillation .
Time period of oscillation
angular frequency ω = 2π / T
=
b )
ω = 20( given )
velocity = ω r = ω l
Let the maximum angular displacement in terms of degree be θ .
1/2 m v ² = mgl ( 1 - cosθ ) ,
[ l-lcosθ is loss of height . we have applied law of conservation of mechanical energy .]
.5 ( ω l )² = gl( 1 - cos θ )
.5 ω² l = g ( 1 - cosθ )
1 - cosθ = .5 ω² l /g
cosθ = 1 - .5 ω² l /g
θ can be calculated , if value of l is given .
Answer:
V = IR
Explanation:
Voltage is denoted by V, current is denoted by I and resistance is denoted by R. Voltage is the difference of electric potential between two points. Current is the measure of the rate of flow of electric charge. Resistance is a measure how a device reduces the current flow through itself.
The three properties are related to each other as per the Ohm's law which states that voltage and current are directly proportional to each other, it can be denoted as
Voltage (V) = Current(I) X Resistance(R).