Structure of Atom · Question 10

The relation between nm (nm = the number of permissible values of magnetic quantum number (m)) for a given value of azimuthal quantum number (l), is

1. l = 2nm + 1
2. nm = 2l2 + 1
3. nm = l + 2
4. l = nm - 12

Identify the incorrect statement from the following.

1. All the five 5d orbitals are different in size when compared to the respective 4d orbitals.
2. All the five 4d orbitals have shapes similar to the respective 3d orbitals.
3. In an atom, all the five 3d orbitals are equal in energy in free state.
4. The shapes of dxy, dyz and dzx orbitals are similar to each other; and dx2-y2 and dz2 are similar to each other.

If radius of second Bohr orbit of the He+ ion is 105.8 pm, what is the radius of third Bohr orbit of Li2+ ion?

1. 158.7 pm
2. 15.87 pm
3. 1.587 pm
4. 158.7 A

Match List-I with List-II : Choose the correct answer from the options given below :

1. (a)-(iii), (b)-(iv), (c)-(ii), (d)-(i)
2. (a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)
3. (a)-(iv), (b)-(iii), (c)-(i), (d)-(ii)
4. (a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)

When electromagnetic radiation of wavelength 300 nm falls on the surface of a metal, electrons are emitted with the kinetic energy of 1.68 105 J mol-1. What is the minimum energy needed to remove an electron from the metal? (h = 6.626 10-34 J s, c = 3 108 m s-1, NA = 6.022 1023 mol-1)

1. 2.31 105 J mol-1
2. 2.31 106 J mol-1
3. 3.84 104 J mol-1
4. 3.84 10-19 J mol-1

A particular station of All India Radio, New Delhi broadcasts on a frequency of 1,368 kHz (kilohertz). The wavelength of the electromagnetic radiation emitted by the transmitter is : [speed of light c = 3.0 108 m s-1]

1. 21.92 cm
2. 219.3 m
3. 219.2 m
4. 2192 m

From the following pairs of ions which one is not an iso-electronic pair?

1. Fe2+, Mn2+
2. O2-, F-
3. Na+, Mg2+
4. Mn2+, Fe3+

The number of protons, neutrons and electrons in 175 71Lu, respectively, are :

1. 104, 71 and 71
2. 71, 71 and 104
3. 175, 104 and 71
4. 71, 104 and 71

4d, 5p, 5f and 6p orbitals are arranged in the order of decreasing energy. The correct option is :

1. 6p > 5f > 4d > 5p
2. 5f > 6p > 4d > 5p
3. 5f > 6p > 5p > 4d
4. 6p > 5f > 5p > 4d

Which of the following series of transitions in the spectrum of hydrogen atom falls in visible region?

1. Paschen series
2. Brackett series
3. Lyman series
4. Balmer series