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If x^xy^yz^z = c, then ∂z/∂x =

(1) (1 + log x)/(1 + log z) (2) -(1 + log x)/(1 + log z) (3) (1 + log y)/(1 + log z) (4) none of these Solution: Given xxyyzz = c... View Article

If u = log(x³ + y³ + z³ – 3xyz), then (∂u/∂x + ∂u/∂y + ∂u/∂z)(x + y + z) =

(1) 0 (2) 1 (3) 2 (4) 3 Solution: Given u = log(x3 + y3 + z3 - 3xyz) ∂u/∂x = (3x2 - 3yz)/(x3 + y3 + z3 - 3xyz) …(i) ∂u/∂y = (3y2... View Article

If u = sin^-1 (y/x), then ∂u/∂x is equal to

(1) -y/(x2 + y2) (2) x/√(1 - y2) (3) -y/√(x2 - y2) (4) -y/x√(x2 - y2) Solution: Given u = sin-1 (y/x) ∂u/∂x = [1/√(1-(y/x)2)] ×... View Article

Does fission release a lot of energy

During nuclear fission, a small neutron hits a uranium atom and splits it into smaller atoms. During this process, a large amount of energy gets... View Article

Is beryllium 12 stable or unstable

Beryllium has 11 isotopes but only three are measured routinely 7Be, 9Be and 10Be. Beryllium is a monoisotopic element meaning it has only one... View Article

Why are all elements above 82 unstable?

When the mass number of the atom is greater than 82, the atoms are not stable because of the level of binding energy. The repulsive force between... View Article

Why is fusion so difficult

It is very difficult to start a fusion reaction that releases more energy than what is required to start the reaction. It is a reaction that... View Article

Where does binding energy come from

The binding energy is the energy equivalent of the mass defect. When the protons and neutrons are combined, the mass of the assembled particles... View Article

Is NH4Br an acid or base

NH4Br is a salt formed from a strong acid HBr and a weak acid NH3. Therefore the salt is acidic.... View Article

Which is more dangerous: sulphuric acid or hydrochloric acid?

Hydrochloric acid is a stronger acid than sulphuric acid since the Ka value (acid ionisation constant) of hydrochloric acid is 1.3 x 106 and that... View Article

What is the most corrosive liquid?

Corrosive substances will destroy and damage the materials which they get in contact with. Few of the corrosive substances are hydrochloric acid,... View Article

Can nitric acid be stored in the glass?

Nitric acid (HNO3) can be stored in dark coloured glass bottles. It is stored in dark bottles in order to prevent sunlight from entering the... View Article

What does HNO2 decompose into?

Nitrous acid (HNO2) decomposes into nitric oxide (NO), nitrogen dioxide (NO2) and water (H2O). 2HNO2→NO2+NO+H2O... View Article

Is Ca metal or nonmetal

Calcium is an alkaline earth metal. It is a pale yellow metal that is reactive and forms a dark oxide nitride layer when it is exposed to the air.... View Article

Is Neon a stable element?

Neon is a stable element since it has a full octet or completely filled valence shell with 8 electrons.... View Article

When the concentration of a salt solution is increased

When the concentration of a salt solution is increased a. Boiling point increases while vapour pressure decreases b. Boiling point decreases... View Article

What are the two laws of thermal radiation?

Stefan-Boltzmann Law: According to this law, the total energy emitted per unit time by a hotter object is more than the energy emitted by the... View Article

What is the difference between horizontal and vertical polarization?

Horizontally polarised signals oscillate from right to left and the vertically polarised signals oscillate up and down.... View Article

How many types of analyzers are there?

The spectrum analysers are of two broad categories swept tuned analysers and real-time analyzers. Both the analysers display amplitude versus... View Article

How is transmitting intensity calculated?

Intensity can be determined by taking the product of energy density at a point in space and the velocity at which the energy is moving. The value... View Article

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