Answer:
Perform a simple test of the material in the pan to assess whether it is real gold. Raw gold appears brassy yellow and bright. If you think it is gold, place your hand between it and the sun to create shade over the gold. If it still appears bright in the pan, chances are that it is real gold.
Explanation:
Answer:
The ratio of
and
is 0.9754
Explanation:
Given that,
Distance z = 4.50 d
First equation is


Second equation is

We need to calculate the ratio of
and 
Using formula


Put the value into the formula


Hence, The ratio of
and
is 0.9754
Answer:
The required angular speed ω of an ultra-centrifuge is:
ω = 18074 rad/sec
Explanation:
Given that:
Radius = r = 1.8 cm
Acceleration due to g = a = 6.0 x 10⁵ g
Sol:
We know that
Angular Acceleration = Angular Radius x Speed²
a = r x ω ²
Putting the values
6 x 10⁵ g = 1.8 cm x ω ²
Converting 1.8 cm to 0.018 m, also g = 9.8 ms⁻²
6 x 10⁵ x 9.8 = 0.018 x ω ²
ω ² = (6 x 10⁵ x 9.8) / 0.018
ω ² = 5880000 / 0.018
ω ² = 326666667
ω = 18074 rad/sec
D -
You basically keep varying the coefficient so until the number of atoms for each element is equal. I started with iron to show how you might have to change coefficients but it would be more efficient and quicker to start with oxygen since it changes the value or iron required.
The oscillation angular frequency of a drop with half of the first drop's radius is 4ω
<h3>What is surface tension?</h3>
Surface tension is the tension force exerted on an object by the surface of a liquid.
<h3>What is angular frequency?</h3>
Angular frequency is the frequency of oscillation of a rotating object. It is given in rad/s.
<h3>What is the oscillation angular frequency of a drop with half of the first drop's radius?</h3>
Given that
- the angular frequency of the drop is ω and
- radius r.
Since the energy of the drop is conserved, using the law of conservation of angular momentum, we have
Iω = I'ω' where
- I = initial rotational inertia of droplet = mr²
- where m = mass of drop and
- r = initial radius of droplet,
- ω = initial angular frequency of droplet,
- I' = initial rotational inertia of droplet = mr² where
- m = mass of drop and
- r' = final radius of droplet, and
- ω = final angular frequency of droplet
So, Iω = I'ω'
Making ω' subject of the formula, we have
ω' = Iω/I'
ω' = mr²ω/mr'²
ω' = r²ω/r'²
Given that the drop is half of the first drop's radius, r' = r/2
So, ω' = r²ω/r'²
ω' = r²ω/(r/2)²
ω' = r²ω/r²/4
ω' = 4ω
So, the oscillation angular frequency of a drop with half of the first drop's radius is 4ω
Learn more about angular frequency here:
brainly.com/question/28036464
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