A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emissions is at 680 nm, the other is at:

1. 1035 nm

2. 325 nm

3. 743 nm

4. 518 nm

Subtopic:  Planck's Theory |
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The energy required to break one mole of CI–Cl bonds in Cl2 is 242 kJmol−1. The wavelength of light capable of breaking a single Cl–Cl bond is:

1. 494 nm

2. 594 nm

3. 640 nm

4. 700 nm

Subtopic:  Planck's Theory |
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Given that an electron in an atom moves at 600 m/s with an accuracy of 0.005%, what is the level of certainty in locating its position?
(h = 6.6 × 10–34 kg m2 s–1, mass of electron,
em = 9.1 ×10–31 kg) :

1. 1.52 × 10–4 m
2. 5.10 × 10–3 m
3. 1.92 × 10–3 m
4. 3.84 × 10–3 m

Subtopic:  Heisenberg Uncertainty Principle |
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The wavelength (in nanometer) associated with a proton moving at 1.0 × 103 ms–1 (Mass of proton = 1.67 × 10–27 kg and h = 6.63 × 10–34 Js) is-:

1. 0.032 nm

2. 0.40 nm

3. 2.50 nm

4. 14.0 nm

Subtopic:  De Broglie Equation |
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The energy of an electron is given by E = – 2.178 × 1018JZ2n2 Wavelength of light required to excite an electron in an hydrogen atom from level n = 1 to n = 2 will be:
(h = 6.62 × 10–34 Js and c = 3.0 × 108 ms–1)

1. 6.500 × 10–7 m

2. 8.500 × 10–7 m

3. 1.214 × 10–7 m

4. 2.816 × 10–7 m

Subtopic:  Hydrogen Spectra |
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The correct set of four quantum numbers for the valence electrons of rubidium atom (Z = 37) is -

1. 5, 1, 0 + 12

2. 5, 1, 1 + 12

3. 5, 0, 1 +12

4. 5, 0, 0 + 12

Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
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The electrons identified by quantum numbers n and l can be placed in order of increasing energy as:

a. n = 4, l = 1

b. n = 4, l = 0

c. n = 3, l = 2

d. n = 3, l = 1

1. (d) < (b) < (c) < (a) 2. (b) < (d) < (a) < (c)
3. (a) < (c) < (b) < (d) 4. (c) < (d) < (b) < (a)
Subtopic:  Shell & Subshell |
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The radius of the second Bohr orbit for hydrogen atom is:

(Planck's Const. h = 6.6262 × 10–34 Js; mass of electron = 9.1091 × 10–31 kg; charge of electron e = 1.60210 ×10–19 C; permittivity of vaccum 0 = 8.854185 ×10–12 kg–1m–3A2)

1. 0.529 Å

2. 2.12 Å

3. 1.65 Å

4. 7.76 Å

Subtopic:  Bohr's Theory |
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The plots of radial distribution functions for various orbitals of hydrogen atom against 'r' are given below:

a.

 

b.

 

c. 

d.

The correct plot for 3s orbital is:

1. (B)

2. (A)

3. (D)

4. (C)

Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
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According to Bohr's atomic theory:

(A) Kinetic energy of the electron is  \(\mathrm{\propto {Z^2\over n^2}}\) 
(B) The product of velocity (v) of electron and principal quantum number \(\mathrm{(n), 'vn'\propto Z^2}.\)
(C) Frequency of revolution of the electron in an orbit is \(\mathrm{\propto {Z^3\over n^3}}.\)
(D)

Coulombic force of attraction on the electron is \(\propto \dfrac{\mathrm{z}^3}{\mathrm{n}^4}.\)

Choose the most appropriate answer from the options given below :

1. (C) Only

2. (A) Only

3. (A), (C) and (D) only

4. (A) and (D) only

Subtopic:  Bohr's Theory |
Level 3: 35%-60%
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