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1: The value of solubility product depends only on
a) Solvent
b) Catalyst
c) Temperature
d) Pressure
✅ Correct Answer: (c) Temperature
๐๐ Short Reason
Solubility product is an equilibrium constant, and equilibrium constants are functions of temperature only. Changes in solvent, catalyst, or pressure do not alter the intrinsic Kโโ value
๐๐ง Step by Step Reasoning
๐Kโโ is an equilibrium constant for the dissolution of a sparingly soluble salt.
๐Like all equilibrium constants, its value depends only on temperature.
๐It does not depend on solvent (though solubility itself can vary with solvent), catalyst (irrelevant here), or pressure (important for gases, but salts are solids).
๐๐ Short Reason
Solubility product is an equilibrium constant, and equilibrium constants are functions of temperature only. Changes in solvent, catalyst, or pressure do not alter the intrinsic Kโโ value
๐๐ง Step by Step Reasoning
๐Kโโ is an equilibrium constant for the dissolution of a sparingly soluble salt.
๐Like all equilibrium constants, its value depends only on temperature.
๐It does not depend on solvent (though solubility itself can vary with solvent), catalyst (irrelevant here), or pressure (important for gases, but salts are solids).
2: The unit in which wave number is measured:
a) sec⁻¹
b) hertz
c) cm⁻¹
d) nanometer
✅ Correct Answer: (c) cm⁻¹
๐๐ Short Reason
Wave number is the reciprocal of wavelength, so its unit is per centimeter (cm⁻¹).
๐๐ง Step by Step Reasoning
Wave number (ฮฝ̅ = nu̅) is defined as the reciprocal of wavelength:
Since wavelength (ฮป) is usually expressed in centimeters, the unit of wave number becomes cm⁻¹
Other options:
sec⁻¹ → unit of frequency (not wave number)
hertz (Hz) → also frequency (s⁻¹)
nanometer → unit of wavelength, not wave number
๐๐ Short Reason
Wave number is the reciprocal of wavelength, so its unit is per centimeter (cm⁻¹).
๐๐ง Step by Step Reasoning
Wave number (ฮฝ̅ = nu̅) is defined as the reciprocal of wavelength:
Since wavelength (ฮป) is usually expressed in centimeters, the unit of wave number becomes cm⁻¹
Other options:
sec⁻¹ → unit of frequency (not wave number)
hertz (Hz) → also frequency (s⁻¹)
nanometer → unit of wavelength, not wave number
3: A line in Pfund series is obtained when an electron from higher energy levels returns to
a) 1st orbit
b) 5th orbit
c) 3rd orbit
d) 6th orbit
✅ Correct Answer: (b) 5th orbit
๐๐ Short Reason
The Pfund series is part of the hydrogen emission spectrum. It arises when electrons drop from higher energy levels (n ≥ 6) down to n = 5
๐๐ง Step by Step Reasoning
Hydrogen spectral series are defined by the final orbit (n) to which the electron falls:
๐Lyman series → electron falls to n = 1
๐Balmer series → electron falls to n = 2
๐Paschen series → electron falls to n = 3
๐Brackett series → electron falls to n = 4
๐Pfund series → electron falls to n = 5
๐๐ผSo, Pfund series corresponds to transitions ending at the 5th orbit.
๐๐ Short Reason
The Pfund series is part of the hydrogen emission spectrum. It arises when electrons drop from higher energy levels (n ≥ 6) down to n = 5
๐๐ง Step by Step Reasoning
Hydrogen spectral series are defined by the final orbit (n) to which the electron falls:
๐Lyman series → electron falls to n = 1
๐Balmer series → electron falls to n = 2
๐Paschen series → electron falls to n = 3
๐Brackett series → electron falls to n = 4
๐Pfund series → electron falls to n = 5
๐๐ผSo, Pfund series corresponds to transitions ending at the 5th orbit.
4: The energy of an electron in Bohr’s atom ……….. as we move away from the nucleus:
a) Increases
b) Decreases
c) Remains same
d) Unpredicted
✅ Correct Answer: (a) Increases
๐๐ Short Reason
In Bohr’s atom, electron energy is negative and increases toward zero as the electron moves away from the nucleus. Hence, energy increases with distance.
๐๐ง Step by Step Reasoning
๐ The energy of an electron in the nth Bohr’s orbit is given by: Eโ = −13.6/n² eV
๐As n increases (electron moves farther from the nucleus):
๐The denominator n² increases.
๐The negative value becomes less negative (closer to zero).
๐This means the electron’s energy increases (approaches 0).
⚛️Physically:
๐Near the nucleus → electron is strongly bound → lower energy (more negative).
๐Farther away → electron is less bound → higher energy (less negative).
๐๐ Short Reason
In Bohr’s atom, electron energy is negative and increases toward zero as the electron moves away from the nucleus. Hence, energy increases with distance.
๐๐ง Step by Step Reasoning
๐ The energy of an electron in the nth Bohr’s orbit is given by: Eโ = −13.6/n² eV
๐As n increases (electron moves farther from the nucleus):
๐The denominator n² increases.
๐The negative value becomes less negative (closer to zero).
๐This means the electron’s energy increases (approaches 0).
⚛️Physically:
๐Near the nucleus → electron is strongly bound → lower energy (more negative).
๐Farther away → electron is less bound → higher energy (less negative).
5: The energy of an electron in the first orbit in hydrogen atom is −313.6/n² kcalmol⁻¹. The energy of electron in 3rd orbit is given by:
a) −313.6/3 kcal mol⁻¹
b) −313.6/9 kcal mol⁻¹
c) −313.6/2 kcal mol⁻¹
d) −313.6 × 3 kcal mol⁻¹
✅ Correct Answer: (b) −313.6/9 kcal mol⁻¹
๐๐ Short Reason
Energy in Bohr’s atom decreases in magnitude as n increases.
For n = 3, substitute into the formula → −313.6/9.
๐๐ง Step by Step Reasoning
๐ Formula:
๐ For nth orbit: Eโ = −313.6/n²
๐ For n = 3: E₃ = −313.6/3²
๐ Simplify: E₃ = −313.6/9 kcal mol⁻¹
๐๐ Short Reason
Energy in Bohr’s atom decreases in magnitude as n increases.
For n = 3, substitute into the formula → −313.6/9.
๐๐ง Step by Step Reasoning
๐ Formula:
๐ For nth orbit: Eโ = −313.6/n²
๐ For n = 3: E₃ = −313.6/3²
๐ Simplify: E₃ = −313.6/9 kcal mol⁻¹
6: The radius of the first orbit in hydrogen atom is 0.529 ร
. The radius of the second orbit is:
a) ½ × 0.529 ร
b) 2 × 0.529 ร
c) 8 × 0.529 ร
d) 4 × 0.529 ร
✅ Correct Answer: (d) 4 × 0.529 ร
๐๐ Short Reason
Bohr’s formula shows orbit radius increases with n².
For n = 2, radius = 4 × 0.529 ร = 2.116 ร .
๐๐ง Step by Step Reasoning
๐ The radius of the nth Bohr’s orbit is: rโ = n²⋅r₁ (where r₁ =0.529 ร ).
๐ For n = 2: r₂ = 2²⋅r₁ = 4⋅r₁ = 4 ⋅ 0.529 ร = 2.116 ร
๐ Numerical value: r₂ = 2.116 A˚
๐๐ Short Reason
Bohr’s formula shows orbit radius increases with n².
For n = 2, radius = 4 × 0.529 ร = 2.116 ร .
๐๐ง Step by Step Reasoning
๐ The radius of the nth Bohr’s orbit is: rโ = n²⋅r₁ (where r₁ =0.529 ร ).
๐ For n = 2: r₂ = 2²⋅r₁ = 4⋅r₁ = 4 ⋅ 0.529 ร = 2.116 ร
๐ Numerical value: r₂ = 2.116 A˚
7: Electromagnetic radiations with minimum wavelength are:
a) Ultraviolet
b) X rays
c) Infrared
d) Radiowave
✅ Correct Answer: (b) X rays
๐๐ Short Reason
In the electromagnetic spectrum, X rays lie between ultraviolet and gamma rays. They have much shorter wavelength than UV, IR, or radiowaves, so they represent the minimum wavelength among the given choices.
๐๐ง Step by Step Reasoning
๐Electromagnetic spectrum order (increasing wavelength):
Gamma rays < X rays < Ultraviolet < Visible < Infrared < Microwaves < Radiowaves
๐ Minimum wavelength → highest energy radiation.
๐ Among the given options:
๐ Ultraviolet: shorter than visible, but longer than X rays
๐ Infrared: longer than visible
๐ Radiowaves: longest wavelength
๐ X rays: shorter wavelength than UV, IR, and radiowaves
๐ Therefore, X rays have the minimum wavelength among the listed options.
๐๐ Short Reason
In the electromagnetic spectrum, X rays lie between ultraviolet and gamma rays. They have much shorter wavelength than UV, IR, or radiowaves, so they represent the minimum wavelength among the given choices.
๐๐ง Step by Step Reasoning
๐Electromagnetic spectrum order (increasing wavelength):
Gamma rays < X rays < Ultraviolet < Visible < Infrared < Microwaves < Radiowaves
๐ Minimum wavelength → highest energy radiation.
๐ Among the given options:
๐ Ultraviolet: shorter than visible, but longer than X rays
๐ Infrared: longer than visible
๐ Radiowaves: longest wavelength
๐ X rays: shorter wavelength than UV, IR, and radiowaves
๐ Therefore, X rays have the minimum wavelength among the listed options.
8: The strongest oxidizing agent in the electro chemical series is:
a) Li
b) F
c) H₂
d) Cu
✅ Correct Answer: (b) F
๐๐ Short Reason
The strongest oxidizing must have highest reduction potential. In ECS, F has the highest reduction potential, therefore fluorine is the strongest oxidizing agent.
๐๐ Short Reason
The strongest oxidizing must have highest reduction potential. In ECS, F has the highest reduction potential, therefore fluorine is the strongest oxidizing agent.
9: Galvanized rod of iron is coated with:
a) Nickel
b) Chromium
c) Carbon
d) Zinc
✅ Correct Answer: (d) Zinc
๐๐ Short Reason
Galvanized iron is coated with zinc. Galvanizing is the type of electroplating involving coating of zinc on baser metals like iron.
๐๐ Short Reason
Galvanized iron is coated with zinc. Galvanizing is the type of electroplating involving coating of zinc on baser metals like iron.
10: Oxidation number of Cr in Na₂Cr₂O₇, is:
a) +3
b) +8
c) +6
d) +12
✅ Correct Answer: (c) +6
๐๐ Short Reason
In Na₂Cr₂O₇ → 2(+1) + 2x + 7(−2) = 0 ⇒ 2x = 12 ⇒ x = +6.
๐๐ง Step by Step Reasoning
๐ Oxidation number of Na = +1
๐ Oxidation number of O = −2
๐ In a neutral compound, sum of oxidation numbers of all atoms is equal to zero.
2(Na) + 2Cr + 7(O) = 0
2(+1) + 2Cr + 7(−2) = 0
2 + 2Cr + (−14) = 0
2 + 2Cr −14 = 0
2Cr −12 = 0
2Cr = +12
๐ Cr = +12/2 = +6
๐๐ Short Reason
In Na₂Cr₂O₇ → 2(+1) + 2x + 7(−2) = 0 ⇒ 2x = 12 ⇒ x = +6.
๐๐ง Step by Step Reasoning
๐ Oxidation number of Na = +1
๐ Oxidation number of O = −2
๐ In a neutral compound, sum of oxidation numbers of all atoms is equal to zero.
2(Na) + 2Cr + 7(O) = 0
2(+1) + 2Cr + 7(−2) = 0
2 + 2Cr + (−14) = 0
2 + 2Cr −14 = 0
2Cr −12 = 0
2Cr = +12
๐ Cr = +12/2 = +6
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