Mind Maps for Wave on String Revision - Class 11, JEE, NEET

A string fixed at both ends supports all harmonics — 1st (fundamental), 2nd, 3rd, and so on. The nth harmonic frequency is fₙ = nv/2L. There is no restriction to odd or even harmonics, unlike a pipe closed at one end. This is a frequently tested boundary condition in both JEE Main and NEET.

A node is a point in a standing wave where the displacement is always zero — the string does not move there. An antinode is a point of maximum displacement. Adjacent nodes are separated by λ/2, and the distance between a node and the nearest antinode is λ/4. Both JEE Main and NEET test this with diagram-based MCQs.

Wave speed on a string is v = √(T/μ), where T is the tension in the string measured in Newtons and μ is the linear mass density (mass per unit length) in kg/m. This formula is the starting point for almost every numerical question on this topic in JEE Main and NEET. Memorise it with units to avoid errors.

Yes, and at a deeper level than JEE Main. JEE Advanced tests superposition of waves, phase analysis, energy in standing waves, and paragraph-based problems where multiple wave concepts combine. The mind maps here cover the foundational layer required for JEE Advanced; students aiming for top ranks should supplement with eSaral's video lectures by IIT Bombay faculty for the advanced applications.

Yes. According to NTA's NEET syllabus (based on the NCERT Class 11 Physics curriculum), Waves is an examined unit every year. NEET typically asks 1–2 questions on string vibrations, standing waves, or resonance. The chapter is medium-difficulty and highly scoring once the formulas are clear, making it a priority for revision in the final weeks.

They are the same thing. The 1st overtone is simply the second-lowest frequency at which the string resonates, which equals the 2nd harmonic (f₂ = 2f₁). The nth overtone corresponds to the (n+1)th harmonic. Confusing these two terms is one of the most common errors in JEE Main wave questions — always convert overtone number to harmonic number first