Answer:
D) directly, inversely
Explanation:
The energy of a photon of light is directly proportional to its frequency and inversely proportional to its wavelength.
Frequency is the number of waves that passes through a point per unit of time.
Wavelength is the is the distance between successive crests or troughs on a wave.
Mathematically, frequency is related to wavelength and velocity using;
Energy = h x f
where h is the Planck's constant
f is the frequency
Since c = f ∧
where f is the frequency of the wave
∧ is the wavelength of the wave
c is the speed of light
So;
f = c/∧
Therefore;
E = 
From the equation, we see an inverse relationship between E and wavelength and a direct one with frequency.
Answer:
The resistance of the inductor at resonance is 258.76 ohms.
Explanation:
Given;
resistance of the resistor, R = 305 ohm
capacitance of the capacitor, C = 1.1 μF = 1.1 x 10⁻⁶ F
inductance of the inductor, L = 42 mH = 42 x 10⁻³ H = 0.042 H
At resonance the inductive reactance is equal to capacitive reactance.

Where;
F₀ is the resonance frequency

The inductive reactance is given by;

Therefore, the resistance of the inductor at resonance is 258.76 ohms.
Since your constantly changing the height of the cup (your independent variable) then this causes the distance it travels to change (your dependent variable) so it’s basically because the slope is changing as well.
Answer:
<em>P = 1500 Watt</em>
Explanation:
<u>Mechanical Work and Power
</u>
Mechanical work is the amount of energy transferred by a force.
Being F the magnitude of the force vector and s the distance, the work is calculated as:
W=F.s
Power is the amount of energy transferred or converted per unit of time. In the SI, the unit of power is the watt, equal to one joule per second.
The power can be calculated as:

Where W is the work and t is the time.
The force to be considered is the weight of the mass of m=100 kg,
:
F = 100 * 10 = 1000 N
The distance is s=3 m, thus the work done by the weight lifter is:
W = 1000 N * 3 m
W = 3000 J
Finally, the power is:

P = 1500 Watt
Answer:
Radius = 3.96m
Explanation:
In a cyclotron motion, the radius of a charged particle path in a magnetic feild is given by:
r = mv/qB
Where r = radius
m = mass of particle= 9.1×10^-31kg
q = charged electron = 1.6×10^-19C
B = magnetic feid = 7.65×10^6T
V = velocity = 7.65×10^6
r = (9.1×10^-31)×(7.65×10^6) / (1.6×10^-19)(1.10 ×10^-5)
r = (6.9615×10^-24)/(1.76 ×10^-24)
r = 3.96m