Answer:
0.21486 mm
Explanation:
The formula for the maximum intensity is given by;
I = I_o•cos²(Φ/2)
Now,we are not given Φ but it can be expressed in terms of what we are given as; Φ = πdy/(λL)
Where;
y is the distance from the central maximum
d is the distance between the slits
λ is the wavelength
L is the distance to the screen
Thus;
I = I_o•πdy/(λL)
We are given;
d = 0.05 mm = 0.5 × 10^(-3) m
λ = 540 nm = 540 × 10^(-9) m
L = 1.25 m
I/I_o = 50% = 0.5
From earlier, we saw that;
I = I_o•πdy/(λL)
We have I/I_o = 0.5
Thus;
I/I_o = πdy/(λL)
Plugging in the relevant values;
0.5 = (π × 0.5 × 10^(-3) × y)/(540 × 10^(-9) × 1.25)
Making y the subject, we have;
y = (0.5 × 540 × 10^(-9) × 1.25)/(π × 0.5 × 10^(-3))
y = 0.00021486 m
Converting to mm, we have;
y = 0.21486 mm
Answer:
stronger
Explanation:
A magnet can pull up a metal object because it is stronger than the gravitational force of the entire planet.
Answer:
upward lift on an aircraft wing decreases as it gains altitude.
Explanation:
- The lift on an airplane wing is generated due to the the difference in the pressure on the top of the wing and the bottom of the wing in accordance with the Bernoulli's Principle.
- The pressure on the lower part of the wing is higher due to the low velocity stream of air than on the upper part of the wing.
The governing equation of the Bernoulli's Principle is:
where:
P = pressure of the fluid
g = acceleration due to gravity
density of fluid
v = velocity of the fluid
z = height of fluid from the datum
<u>But the lift force on the wings depends upon several aerodynamic factors given mathematically as:</u>
where:
cl = experimental constant
density of air
A = area of wing
v = velocity of the air
As we move up in the atmosphere the density of air reduces and thus the force of lift will eventually decrease, that is the reason why airplanes have a flight ceiling, an altitude above which it cannot fly.
Answer:
The distance that the spring compresses is:
Explanation:
<u>Kinetic and Elastic Potential Energy</u>
The kinetic energy of an object of mass m traveling at a speed v is:
The elastic potential energy of a spring of constant k that compresses a distance x is:
The block of mass m is moving at a speed v when compresses a spring of constant k. The kinetic energy will eventually transform into elastic energy, but before that, both energies will be equal. It happens when:
Simplifying:
Dividing by k:
Taking square root:
The distance that the spring compresses is
Half a wavelength must fit exactly into the length of a vibrating cord
Explanation:
A standing wave is a wave produced by the interference between a wave and its reflection. A standing wave is the wave produced, for instance, in the string of a guitar.
A standing wave is different from other types of waves because it does not propagate in space, but it only vibrate in a fixed region.
A standing wave is characterized by the presence of:
- Nodes: points where the amplitude of the wave is always zero (destructive interference)
- Antinodes: points where the amplitude of the wave is maximum (constructive interference)
The two ends of the string do not vibrate: this means that they always correspond to two nodes. If we take the fundamental mode of vibration of the string (so, no other nodes), we see that the length of the string corresponds to the distance between two consecutive nodes: however, this also corresponds to half the wavelength of the wave. Therefore, we can conclude that the correct option is
Half a wavelength must fit exactly into the length of a vibrating cord
Learn more about waves:
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