Atomic Structure PYQs Set 4 (PDF)

Set 4 of 14 · Questions 91-120 of 415

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Mere Teacher · Previous Year Questions JEE Main Chemistry · Atomic Structure · Set 4 (Q91-120)
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91. $The energy of one mole of photons of radiation of wavelength 300 nm is (Given : h = 6.63 x 1 0^{- 34} Js, N_{A} = 6.02 x 1 0^{23} m o l^{- 1}, c = 3x 1 0^{8} m s^{- 1})$ (1) $235 kJ m o l^{- 1}$ (2) $325 kJ m o l^{- 1}$ (3) $399 kJ m o l^{- 1}$ (4) $435 kJ m o l^{- 1}$ 92. $The energy of an electron in an orbit of hydrogen like ion with an orbit radius of 52.9 pm in J is (ground state energy of electron in hydrogen atom is (= - 2.18 \times 10^{- 18} J)$ (1) $- 4.36 \times 10^{- 18}$ (2) $- 1.09 \times 10^{- 17}$ (3) $- 8.72 \times 10^{- 18}$ (4) $- 6.54 \times 10^{- 18}$ 93. $Two electrons occupying the same orbital are distinguished by$ (1) $azimuthal quantum number$ (2) $spin quantum number$ (3) $principal quantum number$ (4) $magnetic quantum number$ 94. $The group number, number of valence electrons, and valency of an element with atomic number 15, respectively, are :$ (1) $16, 5 and 2$ (2) $15, 5 and 3$ (3) $16, 6 and 3$ (4) $15, 6 and 2$ 95. $The energy of first (lowest) Balmer line of H atom is x J . The energy (in J) of second Balmer line of H atom is:$ (1) $1.35 x$ (2) $x^{2}$ (3) $2 x$ (4) $\frac{x}{1.35}$ 96. $Excited hydrogen atom emits light in the ultraviolet region at 2.47 \times 1 0^{15} Hz With thi frequency, the energy of a single photon is : (h = 6.63 \times 1 0^{-34} Js)$ (1) $8.041 \times 1 0^{-40} J$ (2) $8.041 \times 1 0^{-19} J$ (3) $1.640 \times 1 0^{-18} J$ (4) $6.111 \times 1 0^{-17} J$ 97. $The correct decreasing order of energy, for the orbitals having, following set of quantum numbers: (A) n = 3,l = 0,m=0 (B) n = 4,1 = 0, m = 0 (C) n = 3,l=1,m = 0 (D) n = 3,l = 2,m=l$ (1) $(D)>(B)>(C)>(A)$ (2) $(B) > (D) > (C) > (A)$ (3) $(C) > (B) > (D) > (A)$ (4) $(B) > (C) > (D) > (A)$ 98. $The product of uncertainty in velocity and uncertainty in position of a micro particle of mass ' m' is not less than in which of the following?$ (1) $h \times \frac{3 π}{m}$ (2) $\frac{h}{3 π} \times m$ (3) $\frac{h}{4 π} \times \frac{1}{m}$ (4) $\frac{h}{4 π} \times m$ 99. $Identify the impossible quantum number set for the electron from the following$ (1) $n = 2, l = 0, m = 0, s = - \frac{1}{2}$ (2) $n = 2, l = 1, m = 0, s = \frac{1}{2}$ (3) $n = 3, l = 3, m = 1, s = \frac{1}{2}$ (4) $n = 4, l = 2, m = 1, s = \frac{1}{2}$ 100. $An orbital with one angular node shows three maxima in its radial probability distribution curve, the orbital is$ (1) $3 s$ (2) $4 p$ (3) $5 d$ (4) $3 p$ 101. $The radius of the second Bohr orbit for hydrogen atom is: (Planck's Const. h = 6.6262 \times 1 0^{- 34} Js; mass of electron = 9.1091 \times 1 0^{- 31} kg; charge of electron e = 1.60210 \times 1 0^{- 19} C; permittivity of vacuum \in0 = 8.854185 \times 1 0^{- 12} kg^{-1} m^{-3} A^{2})$ (1) $4.76 Å$ (2) $0.529 Å$ (3) $2.12 Å$ (4) $1.65 Å$ 102. $Who modified Bohr’s theory by introducing elliptical orbits for electron path?$ (1) $Rutherford$ (2) $Thomson$ (3) $Hund$ (4) $Sommerfield$ 103. $The two electrons have the following sets of quantum numbers : P = 3, 2, - 2, + \frac{1}{2}; Q = 3, 0, 0, + \frac{1}{2} Which of the following statements is true?$ (1) $P has greater energy than Q .$ (2) $P and Q represent same electron.$ (3) $P and Q have same energy.$ (4) $P has lesser energy than Q .$ 104. $The spectrum of helium is expected to be similar to that of$ (1) $Li^{+}$ (2) $H$ (3) $Na$ (4) $He^{+}$ 105. $Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H-atom is suitable for this purpose ? (R_{H} = 1 \times 10^{5} c m^{- 1} . h = 6.6 \times 10^{- 34} Js, c = 3 \times 10^{8} m s^{- 1})$ (1) $Paschen, \infty \to 3$ (2) $Paschen, 5 \to 3$ (3) $Balmer, \infty \to 2$ (4) $Lyman, \infty \to 1$ 106. $The ground state energy of hydrogen atom is -13.6 eV. The energy of second excited state of H e^{+} ion eV is:$ (1) $-27.2$ (2) $-54.4$ (3) $-3.4$ (4) $-6.04$ 107. $If, the binding energy of electrons in a metal is 250 kJ / mol, what should be the threshold frequency of the striking photons in order to free an electron from the metal surface?$ (1) $6.26 \times 10^{14} s^{- 1}$ (2) $12.4 \times 10^{14} s^{- 1}$ (3) $6.26 \times 10^{12} s^{- 1}$ (4) $12.4 \times 10^{12} s^{- 1}$ 108. $The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency ' A^{’} \times 10^{12} hertz and that has a radiant intensity in that direction of \frac{1}{B ^{’}} watt per steradian. 'A' and 'B' are respectively$ (1) $540 and 683$ (2) $450 and 683$ (3) $450 and \frac{1}{683}$ (4) $540 and \frac{1}{683}$ 109. $The maximum number of orbitals present in n = 4 energy level of an atom and the maximum number of electrons with spin value + \frac{1}{2} in the same orbitals are______ respectively.$ (1) $16,5$ (2) $16,7$ (3) $16,9$ (4) $16,16$ 110. $Which one of the following sets of quantum numbers represents the highest energy level in an atom?$ (1) $n = 4, l = 0, m = 0, s = + \frac{1}{2}$ (2) $n = 3, l = 1, m = 1, s = + \frac{1}{2}$ (3) $n = 3, l = 2, m = - 2, s = + \frac{1}{2}$ (4) $n = 3, l = 0, m = 0, s = + \frac{1}{2}$ 111. $If p is the momentum of the fastest electron ejected from a metal surface after the irradiation of light having wavelength λ, then for 1.5 p momentum of the photoelectron, the wavelength of the light should be : (Assume kinetic energy of ejected photoelectron to be very high in comparison to work function):$ (1) $\frac{3}{4} λ$ (2) $\frac{1}{2} λ$ (3) $\frac{2}{3} λ$ (4) $\frac{4}{9} λ$ 112. $Choose the correct option regarding: Assertion: Energy of the orbital decreases with increase of ' n'. Reason: Energy is required in shifting away the negatively charged electron from positively charged nucleus.$ (1) $Assertion and Reason are correct statements and Reason is the correct explanation for Assertion$ (2) $Assertion and Reason are correct statements and Reason is not the explanation for Assertion$ (3) $Assertion is correct, Reason is wrong$ (4) $Assertion is wrong, Reason is correct$ 113. $Calculate the frequency if wavelength is 750 nm .$ (1) $2 \times 10^{14} Hz$ (2) $4 \times 10^{14} Hz$ (3) $6 \times 10^{15} Hz$ (4) $8 \times 10^{15} Hz$ 114. $Orbital having 3 angular nodes and 3 total nodes is$ (1) $5 p$ (2) $3 d$ (3) $4 f$ (4) $6 d$ 115. $The number of electrons with (n + l) values equal to 3 , 4 and 5 in an element with atomic number (z) 24 are respectively (n = principal quantum number and l = azimuthal quantum number)$ (1) $7, 8, 5$ (2) $6, 8, 6$ (3) $8, 7, 5$ (4) $8, 8, 5$ 116. $The de-Broglie's wavelength of electron present in first Bohr orbit of 'H' atom is:$ (1) $0.529 Å$ (2) $2π \times 0.529 Å$ (3) $\frac{0.529}{2 π} Å$ (4) $4 \times 0.529 Å$ 117. $The number of electrons present in all the completely filled subshells having n = 4 and s = + \frac{1}{2} is (Where n = principal quantum number and s = spin quantum number)$ 118. $The energy of one mole of photons of radiation of frequency 2 x 1 0^{12} Hz in J m o l^{- 1} is _______. (Nearest integer) (Given: h = 6.626 x 1 0^{- 34} Js N_{A} = 6.022 x 1 0^{23} m o l^{- 1})$ 119. $If the uncertainty in velocity and position of a minute particle in space are, 2.4 x 1 0^{- 26} (m s^{- 1}) and 1 0^{- 7} (m) respectively. The mass of the particle in g is_________(Nearest integer) (Given : h = 6.626 x 1 0^{- 34} Js)$ 120. $If the work function of a metal is 6.63 x 1 0^{- 19} J, the maximum wavelength of the photon required to remove a photoelectron from the metal is_______ nm. (Nearest integer) [Given : h = 6.63 x 1 0^{- 34} J s, and c = 3 x 1 0^{8} m s^{- 1}]$