121) The radius of second orbit of hydrogen atom is same as that of orbit (n) of an ion (x). n and x are respectively
A) 4, Be²⁺
B) 3, Li²⁺
C) 4, Be³⁺
D) 2, He⁺
View Answer
C) 4, Be³⁺
Explanation:The radius of the n-th orbit in Bohr’s model is given by the formula .
For a hydrogen atom, the atomic number Z = 1 and the second orbit means n = 2.
The radius of the second orbit of hydrogen is .
For the ion (x) in orbit n, the radius is .
Setting the radii equal, we get , which simplifies to n² = 4Z.
We now check the options for hydrogen-like species (ions containing only one electron):
For Be³⁺, the atomic number Z = 4.
Substituting Z = 4 into the equation: n² = 4 × 4 = 16.
Taking the square root, we find n = 4.
This confirms that for n = 4 and x = Be³⁺, the radius matches that of the second orbit of hydrogen.
122) An electromagnetic radiation of wavelength 331.5 nm is made to strike the surface of a metal. Electrons are emitted with a kinetic energy of . The work function (in eV) of the metal is (, )
A) 1.5
B) 3.0
C) 3.5
D) 2.5
View Answer
D) 2.5
Explanation:Given:
λ = 331.5 nm = 3.315 × 10⁻⁷ m
KE = 1.2×10⁵ J/mol
Energy per electron:
= (1.2×10⁵) / (6×10²³)
= 2 × 10⁻¹⁹ J
Photon energy:
E = hc/λ
= (6.63×10⁻³⁴ × 3×10⁸) / (3.315×10⁻⁷)
≈ 6 × 10⁻¹⁹ J
Work function:
Φ = E − KE
= (6 − 2) ×10⁻¹⁹ = 4×10⁻¹⁹ J
Convert to eV:
Φ = (4×10⁻¹⁹)/(1.6×10⁻¹⁹)
= 2.5 eV
124) In long form of periodic table an element ‘E’ has atomic number 78.The period and group number of the element are x and y respectively. (x+y) is equal to
A) 18
B) 15
C) 17
D) 16
View Answer
D) 16
Explanation:Pt ⇒ group 10, period 6 ⇒ sum 16
125) In which of the following options, the molecules are correctly arranged in the increasing order of their bond angles?
126) In which of the following, the compounds are correctly arranged in the de creasing order of boiling points?
A) HF > H₂O > NH₃ > PH₃
B) H₂O > HF > NH₃ > PH₃
C) H₂O > HF > PH₃ > NH₃
D) HF > NH₃ > H₂O > PH₃
View Answer
B) H₂O > HF > NH₃ > PH₃
Explanation:Hydrogen bonding order
127) The force (F) required to maintain the flow of layers of a liquid is equal to (A = area of contact of layers, dz = distance between the layers, du = change in velocity, η = coefficient of viscosity)
A)
B)
C)
D)
View Answer
C)
Explanation:
128) Consider the following redox reaction in basic medium. .
The incorrect option about it is
129) The entropy and enthalpy changes for the reaction at 300 K and 1 atm are respectively and . The temperature at which the reaction will go in the reverse direction is
A) 761.8 K
B) 671.8 K
C) 961.8 K
D) 971.8 K
View Answer
D) 971.8 K
Explanation:ΔS = −42.4 J/K = −0.0424 kJ/K
ΔH = −41.2 kJ
At equilibrium:
ΔG = 0 ⇒ T = ΔH / ΔS
T = (−41.2)/(−0.0424) ≈ 971.8 K
130) The volume of water required to dissolve 0.1 g to get a saturated solution (in mL) is (Given ; Atomic mass of Pb = 207u)
A) 150
B) 100
C) 120
D) 180
View Answer
D) 180
Explanation:PbCl₂ ⇌ Pb²⁺ + 2Cl⁻
Ksp = 4s³ = 3.2×10⁻⁸
⇒ s³ = 0.8×10⁻⁸
⇒ s = 2×10⁻³ mol/L
Molar mass PbCl₂ ≈ 278 g/mol
Solubility in g/L:
= 278 × 2×10⁻³ = 0.556 g/L
Volume required for 0.1 g:
= 0.1 / 0.556 ≈ 0.18 L = 180 mL
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