Question Discussion & Solution

Key Points

A binary tree is a tree data structure in which each node has at most two child nodes.

The number of subtrees of a node is called the degree of the node. In a binary tree, all nodes have degrees o, 1, and 2. 

The degree of a tree is the maximum degree of a node in the tree. A binary tree is of degree 2. The number of nodes of degree 2 in Tis "n-1".

Hence the correct answer is n-1.

A scalar is a quantity which has only a magnitude but not a direction whereas vector is a quantity which has both a magnitude and a direction.

Volume is a scalar quantity similarly, momentum is a vector quantity while time, speed and energy are the scalar quantities.

Concept:

Resistance: The property of electrical materials and electrical instruments that opposes the flow of current through them is called resistance.

It is denoted by R. The SI unit of resistance is the ohm (Ω).

Power: The rate of work done by an electric current is called power. It is denoted by P. The SI unit of power is the watt (W).

Power dissipation (P) is given by:

\(P=VI=\frac{V^2}{R}=I^2R\)

Where V is the potential difference across resistance, I is current flowing and R is resistance.

Calculation:

With R = 50 Ω, and V = 220 V, the power required by the bulb will be:

\(P=\frac{V^2}{R}=\frac{220\times 220}{50}\)

P = 968 W

The correct answer is Magnesium.

Key Points

• The outermost shell of a Magnesium element has two electrons.
  • 12 is the atomic mass for magnesium.
  • it is in group 2 of the periodic table, which it loses, so its outer shell is full (2,8).
  • it has a charge of +2, as it still has 12 protons (positive charges) and now has only 10 electrons (negative charges).
  • Magnesium is used in products that benefit from being lightweight, such as car seats, luggage, laptops, cameras, and power tools.
  • It is also added to molten iron and steel to remove sulfur. 
• Outermost Shell :
  • This outermost shell is known as the valence shell, and the electrons found in it are called valence electrons.
  • In general, atoms are most stable, least reactive, when their outermost electron shell is full.

Additional Information

• Carbon is a chemical element with the symbol C and atomic number 6.
  • It is nonmetallic and tetravalent-making four electrons available to form covalent chemical bonds.
  • It belongs to group 14 of the periodic table. 
  • Carbon typically shares electrons to achieve a complete valence shell, forming bonds with multiple other atoms.
• Boron is a chemical element with the symbol B and atomic number 5.
  • The boron atom has only six electrons in its outer shell, leading to an electron deficiency.
  • This molecule has 12 valence shell electrons, 3 each from the B atoms, and 1 each from the six H atoms.
    • Electrons per shell: 2,3
    • Atomic Mass: 10.811 g/mol
• Chlorine atom consists of 17 protons (positively charged sub-atomic particles) in the atom's nucleus (central region), balanced by seventeen electrons (negatively charged sub-atomic particles) distributed around the nucleus.

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