Which one of the following ecological adaptations is not ‘dormancy’?
UPSC Geoscientist
12. Which one of the following zones of atmosphere is the farthest from th
Which one of the following zones of atmosphere is the farthest from the earth surface?
13. Consider the following combination of resistors : [Diagram of resistor
Consider the following combination of resistors :
[Diagram of resistors]
The equivalent resistance of the combination of resistors between P and Q is
Let R₁ and R₂ be the resistances in the first branch. Since they are in series, their equivalent resistance R_series1 = R₁ + R₂ = 3 Ω + 3 Ω = 6 Ω.
Let R₃ be the resistance in the second branch. R₃ = 6 Ω.
These two equivalent resistances (R_series1 and R₃) are connected in parallel between P and Q. The equivalent resistance of two resistors in parallel is given by R_eq = (R_a * R_b) / (R_a + R_b).
R_eq = (R_series1 * R₃) / (R_series1 + R₃) = (6 Ω * 6 Ω) / (6 Ω + 6 Ω) = 36 Ω² / 12 Ω = 3 Ω.
The equivalent resistance of the combination of resistors between P and Q is 3 Ω.
14. Which one of the following statements for the emission spectrum of hyd
Which one of the following statements for the emission spectrum of hydrogen is true?
– Lyman series: n_final = 1. Transitions from n_initial = 2, 3, 4,… to n=1. These transitions involve the largest energy drops and thus result in the emission of high-energy photons, which fall in the ultraviolet (UV) region of the electromagnetic spectrum.
– Balmer series: n_final = 2. Transitions from n_initial = 3, 4, 5,… to n=2. These transitions correspond to visible light.
– Paschen series: n_final = 3. Transitions from n_initial = 4, 5, 6,… to n=3. These transitions involve smaller energy drops than Balmer series and fall in the infrared (IR) region of the electromagnetic spectrum.
– Brackett series: n_final = 4. Transitions from n_initial = 5, 6, 7,… to n=4. These are in the far-infrared region.
– Pfund series: n_final = 5. Transitions from n_initial = 6, 7, 8,… to n=5. These are also in the far-infrared region.
The statement that is true is that the Lyman series lies in the ultraviolet region and the Paschen series lies in the infrared region.
15. Which one of the following is the correct electronic configuration of
Which one of the following is the correct electronic configuration of copper?
However, elements like Copper (and Chromium) are exceptions to this rule. There is a slight energy difference between the 4s and 3d orbitals. The configuration with a completely filled or half-filled d subshell is more stable than one that is nearly filled.
In the case of Copper, promoting one electron from the 4s orbital to the 3d orbital results in the configuration 1s²2s²2p⁶3s²3p⁶3d¹⁰4s¹. This configuration has a stable, completely filled 3d subshell and a half-filled 4s subshell, which is energetically more favorable than the 3d⁹4s² configuration.
Therefore, the correct electronic configuration of copper is 1s²2s²2p⁶3s²3p⁶3d¹⁰4s¹.
16. The phenomenon of radioactivity was first discovered by
The phenomenon of radioactivity was first discovered by
17. What is the total number of orbitals associated with the principal qua
What is the total number of orbitals associated with the principal quantum number 3?
For n = 3, the possible values of l are 0, 1, and 2.
l = 0 corresponds to the s subshell. The number of orbitals in an s subshell is 1 (m_l = 0).
l = 1 corresponds to the p subshell. The number of orbitals in a p subshell is 3 (m_l = -1, 0, +1).
l = 2 corresponds to the d subshell. The number of orbitals in a d subshell is 5 (m_l = -2, -1, 0, +1, +2).
The total number of orbitals associated with a principal quantum number n is the sum of the number of orbitals in each subshell:
Total orbitals for n=3 = (number of orbitals for l=0) + (number of orbitals for l=1) + (number of orbitals for l=2)
Total orbitals for n=3 = 1 (3s) + 3 (3p) + 5 (3d) = 9.
Alternatively, the total number of orbitals in a shell with principal quantum number n is given by n².
For n = 3, total orbitals = 3² = 9.
18. The oxidation state and covalency of Al in [AlCl (H₂O)₅]²⁺ are
The oxidation state and covalency of Al in [AlCl (H₂O)₅]²⁺ are
Let the oxidation state of Aluminum (Al) be x.
The charge of the chloride ligand (Cl⁻) is -1.
The charge of the water ligand (H₂O) is 0 (neutral molecule).
The overall charge of the complex ion is +2.
The sum of the oxidation states of the central metal ion and the charges of the ligands equals the overall charge of the complex:
x + (charge of Cl) + 5 * (charge of H₂O) = +2
x + (-1) + 5 * (0) = +2
x – 1 = +2
x = +3
So, the oxidation state of Al in [AlCl (H₂O)₅]²⁺ is +3.
The covalency of the central metal atom/ion in a coordination complex is equal to its coordination number, which is the total number of sigma bonds formed between the metal and the ligands. This is typically the number of ligands directly attached to the central metal.
In [AlCl (H₂O)₅]²⁺, the Al³⁺ ion is bonded to one Cl⁻ ligand and five H₂O ligands.
Total number of ligands attached = 1 + 5 = 6.
The coordination number of Al is 6.
Therefore, the covalency of Al in this complex is 6.
The oxidation state is +3 and the covalency is 6.
19. Which one of the following is the correct order of increase of the ato
Which one of the following is the correct order of increase of the atomic radius of the elements?
[amp_mcq option1=”C < B < Si < Al" option2="C < B < Al < Si" option3="C < Si < B < Al" option4="Si < Al < C < B" correct="option1"]
C and B are in Period 2, Group 14 and 13 respectively.
Si and Al are in Period 3, Group 14 and 13 respectively.
Atomic radius generally decreases across a period from left to right due to increasing nuclear charge pulling the electron cloud closer. So, B > C.
Atomic radius generally increases down a group due to the addition of electron shells. So, Si > C and Al > B.
Within Period 3, Al is to the left of Si, so Al > Si.
Comparing elements across periods and groups: Period 3 elements (Si, Al) are generally larger than Period 2 elements (C, B).
Combining these trends:
Within Period 2: C < B Within Period 3: Si < Al Comparing across periods: C and B are smaller than Si and Al. Approximate covalent radii (in picometers, pm): C: 70 pm B: 85 pm Si: 110 pm Al: 125 pm Ordering them in increasing radius: C (70) < B (85) < Si (110) < Al (125). The correct order is C < B < Si < Al.
20. Which one of the following quantities is dimensionless?
Which one of the following quantities is dimensionless?
Specific weight is weight per unit volume (Force/Volume), with units like N/m³ or lb/ft³. It has dimensions [M L⁻² T⁻²].
Specific heat (or specific heat capacity) is the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree. It has units like J/(kg·K) or cal/(g·°C), and dimensions [L² T⁻² θ⁻¹].
Specific density is often used interchangeably with relative density or specific gravity, which is the ratio of the density of a substance to the density of a reference substance (like water). In this context, it is dimensionless. However, sometimes ‘specific density’ might be used ambiguously.
Specific gravity is precisely defined as the ratio of the density of a substance to the density of a reference substance. As it is a ratio of two quantities with the same dimensions (density), it is dimensionless.
Given the options, Specific Gravity (D) is unambiguously a dimensionless quantity. Specific density (C) would also be dimensionless if it means relative density, but specific gravity is the more commonly used term for this dimensionless ratio. If specific density were interpreted as density per unit mass (1/volume), it would be dimensional. Therefore, Specific Gravity is the correct answer.