Answer:
f(x) = 6x²-3
f(x) = 0
6x²-3 = 0
6x² = 3
x² = 3/6
x² = 1/2
x = 1/√2 , -1/√2
Roots of f(x) = 1/√2 , -1/√2
Verification = (i) 6(1/√2)² - 3
= 6(1/2) - 3
= 3-3
= 0
(ii) 6(-1/√2)² - 3
= 6(1/2) - 3
= 3-3
= 0
Answer:
see explanation
Explanation:
#Atoms = (mass/atomic wt) x 6.02 x 10²³
- mass is grams
- atomic weight is grams/mole
- 6.02 x 10²³ is atoms/mole
The balance of forces allows to find the result for the question if the isotope of boron 9.99 una is stable:
-
The boron isotope of mass 9.99 uma is unstable because the repulsive force increases.
The stability of atomic nuclei depends on the balance the force is electrostatic repulsion between the protons and the strong interaction of attraction.
One way to achieve this balance is to increase the separation of the protons with uncharged particles between them, the neutral ones, the strong interaction is of the same magnitude for protons and neutrons, therefore the repulsion is decreased and the strong attraction interaction is maintained. .
In the case of Boron, which has 5 protons, the stable structures have more atomistic 10 and 11 una, which is why it has 5 and 6 neutrons each. Therefore each proton has a neutrons next to it and in the other case a proton at the end has two neutrons, this causes the distance between the protons to increase, decreasing the electrostatic repulsion.
It indicates that we have a Boron nucleus of mass 9.999. The number of protons must remain fixed, therefore there are only 4 neutrons.
Consequently, some of the protons does not have a neutron next to it and can approach the other proton, therefore the electrostatic repulsion increases and the stability of the atom decreases.
In conclusion, using the balance of Forces we can find the result for the question if the isotope of boron 9.99 una is stable:
-
The boron isotope of mass 9.99 amu is unstable because the repulsive force increases.
Learn more about nuclear stability here: brainly.com/question/897383
Two common uses for electromagnets are _producing strong magnetic fields_& __electrical switches_.
Explanation:
An electric current can turn a ferromagnetic material temporarily magnetic using Faraday's principle, if the wire carrying the current is wound in coils around the ferromagnetic material. When the electric current is turned on the ferromagnetic material, such as iron, becomes magnetic but loses the magnetism when the current is switched off. This application can be used in a junkyard where a crane with a ferromagnetic arm can lift scrap cars from one point and dump them is a scrapper.
An electromagnet switch can also be applied in the switching on and off of a larger current. These are called relay switches. When the smaller current is turn on, it magnetizes a ferromagnetic material. The magnet then attracts another metal that is attached to a contact arm of a switch. The attraction results in the closing of a switch of a larger current. When the smaller current is switched off, the loss of magnetism causes the metal with the contact arm to open the larger switch.
Learn More:
For more on electromagnets check out;
brainly.com/question/12350331
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In a neutral atom, the number of protons is equal to the number of electrons.
Given that the charge on the ion of the element is -1. This means that there is one electron more than the number of protons in the element.
The atomic number = Number of protons = 57 -1 = 56
Element with atomic number 56 is Barium.
Mass number of the element = Number of protons + Number of neutrons
= 56 + 80 = 136
So the identity of the species: 