JEE

With an AIR of 67,353 in JEE Main, you have good chances of getting NITs like NIT Jalandhar, NIT Goa, NIT Hamirpur, and NIT Srinagar, especially in branches like Civil, Mechanical, EEE, or ECE. You may also get core branches in newer NITs like Nagaland, Mizoram, Arunachal Pradesh, and Puducherry. These NITs had closing ranks above 80,000–1,10,000 in recent years. Make sure to fill your choices carefully in JoSAA counselling and include all possible options. If you're flexible with the branch, you'll have a better chance of getting into a decent NIT. Always keep backup colleges just in case.

With a JEE Main rank of 781094 and 77 percentile in MHT CET, you can likely get into some good private engineering colleges in Maharashtra. You might not get into the top-tier government institutions.

In finding inverses of matrices, solving systems of linear equations, and understanding matrix transformations, the determinants play a crucial role. The Determinants concept is widely used in physics, engineering, computer Science and competitive exams like JEE. Understanding determinants is important for higher mathematical studies.

The exemplar is beyond the NCERT textbook as it is conceptually more deep and challenging than the NCERT textbook exercises. These MCQs, LA, and SA questions help students improve their logical reasoning and help them prepare for competitive exams. It tests students on higher-order and application-based questions and promotes analytical thinking.

According to the de Broglie equation, the particles like electrons have wave-like properties. The quantum mechanical model foundation is laid by this concept and it also explains the stability of electron orbits using wave behavior.

The hydrogen atom can be accurately explained by Bohr's model. However, it does not account for shielding effects, electron-electron interactions, and the wave nature of electrons for multi-electron atoms.

Quantum numbers describe the unique position and energy of an electron in an atom. These are a set of four numbers and are important for predicting chemical behavior and understanding the distribution of electrons in orbitals.