Give explanation for each of the following observations:
(a) Mn3+ is an oxidizing agent, whereas Cr2+ is a reducing agent (both d4 configuration).
(b) Actinoid contraction is greater than lanthanoid contraction.
(c) Transition metals form interstitial compounds with H, B, C, N.
(a) Mn3+ is an oxidizing agent, whereas Cr2+ is a reducing agent (both d4 configuration).
Mn3+ readily gains an electron to become the more stable Mn2+, hence acts as an oxidizing agent. Cr2+ loses an electron to form Cr3+, which is more stable due to half-filled t2g orbitals (d3), thus acts as a reducing agent.
(b) Actinoid contraction is greater than lanthanoid contraction.
Actinoids have 5f orbitals that are more diffused and poorly shielded compared to 4f orbitals in lanthanoids. This leads to a greater effective nuclear charge and stronger contraction across the series.
(c) Transition metals form interstitial compounds with H, B, C, N.
Transition metals have vacant d-orbitals and lattice voids where small atoms like H, B, C, N can fit without disturbing the structure, forming interstitial compounds which are hard and have high melting points.
Show that the energy required to build up the current \( I \) in a coil of inductance \( L \) is \( \frac{1}{2} L I^2 \).
Simar, Tanvi and Umara were partners in a firm sharing profits and losses in the ratio of 5:6:9. On 31st March, 2024 their Balance Sheet was as follows:
Umara died on 30th June, 2024. The partnership deed provided for the following on the death of a partner:
Write a letter to the editor of a local newspaper expressing your concerns about the increasing “Pollution levels in your city”. You are an environmentalist, Radha/Rakesh, 46, Peak Colony, Haranagar. You may use the following cues along with your own ideas: