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Form the pair of linear equations for the following problems and find their solution by substitution method.
Solution: i) Let us assume the larger number is x and smaller number is y. Then we have following equations, as per question: x = y + 26 and x = 3y Substituting the...
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A man grows into a giant such that his linear dimensions increase by a factor of 9.
Answer - (a) Stress F/A = Mg/A T1/T2 = M1/M2 = A*L2ρ/A4ρ = 9 Stress The stress applied to a material is the force per unit area applied to the material. The maximum stress...
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Match each of the set on the left in the roster form with the same set on the right described in set-builder form:
(i) All the elements of this set are natural numbers as well as the divisors of 6. Therefore, (i) matches with (c). (ii)It can be seen that 2 and 3 are prime numbers....
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Write the important conditions required for the linear combination of atomic orbitals to form molecular orbitals.
The given conditions should be satisfied by atomic orbitals to form molecular orbitals: (a) The combining atomic orbitals must have the same or nearly the same energy. This means that in...
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Hydrolysis of sucrose gives, Sucrose + H2O → Glucose + Fructose Equilibrium constant Kc for the reaction is 2 × 1013 at 300 K. Calculate ΔG0 at 300 K.
ΔG0 = – RT lnKc ΔG0 = – 8.314 × 300 × ln( 2×1013 ) ΔG0 = – 7.64 ×104 J/mol.
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Why does hydrogen occur in a diatomic form rather than in a monoatomic form under normal conditions?
The ionization enthalpy of hydrogen atom is very high (1312 kJ mol–1 ). Hence, it is very hard to remove its only electron. As a result, its tendency to exist...
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A positive integer is of the form 3q + 1, q being a natural number. Can you write its square in any form other than 3m + 1
Solution: No. Justification: Consider the positive integer 3q + 1, where q is a natural number. => (3q + 1)2 = 9q2 + 6q + 1 = 3(3q2 + 2q) + 1 = 3m + 1,...
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Show that the cube of a positive integer of the form 6q + r, q is an integer and r = 0, 1, 2, 3, 4, 5 is also of the form 6m+r.
Solution: 6q + r is a positive integer, where q is an integer and r = 0, 1, 2, 3, 4, 5 Then, the positive integers are of the form 6q, 6q+1,...
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What are the advantages and disadvantages of Linear Scale?
Linear Scale : This is also known as Graphical Scale or Plain Scale. This is merely a straight line whose length is in certain proportion to the actual length on...
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XeF2 has a straight linear structure and not a bent angular structure. Why ?
[Hint : In XeF2, 2 bond pairs and 3 lone pairs are present hence linear structure.]
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