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The error pattern
Changing source frequency in the same nondispersive medium does not automatically double wave speed.
An error clinic starts with the reason an approach fails, rather than memorising an exception in isolation. State the hidden assumption or changed definition that makes the mistaken approach tempting.
Rebuild the correct model
A wave's speed relates temporal repetition to spatial repetition. Frequency and wavelength are not synonyms.
v=fλ.
Draw or describe the physical system first. Choose axes, record what remains constant and convert inputs into compatible units. An ideal-model result is only as applicable as its assumptions; frictionless, constant-acceleration and point-source conditions are substantive restrictions.
Diagnostic question
For fixed wave speed, what happens to wavelength when frequency doubles?
Before solving, write one sentence explaining how the error pattern above could affect this question. Then choose a method that keeps the correct definition, convention or model visible.
Diagnostic answer
Wavelength halves.
Compare the actual reasoning steps, not only the final value or chosen word. A correct final result obtained from inconsistent assumptions is not a dependable method for a different problem.
Verification checklist
Check dimensions, direction and limiting behaviour. Ask whether the answer should increase or decrease when an input changes. A dimensional check is necessary in many calculations but cannot certify an omitted dimensionless coefficient or an inappropriate physical model.
Keep an error-log entry with the topic, the failed step, the corrected principle and a later reattempt. Track whether the same failure recurs. The purpose is to improve reasoning on this topic; the log is not a certificate of examination performance.
Official sources and verification
Sources checked on 26 October 2026. A source’s date, programme and campus limit which claims it supports. Official pages may change after review.
- UEM — IEMJEE examination information
Historical examination pattern; verify the current cycle on the central portal.
- NTA — explicitly labelled JEE Main 2026 syllabus
Historical PCM syllabus reference. Lessons and exercises are independently authored, not official IEMJEE papers or verified 2027 paper predictions.
- NCERT — official textbook catalogue
Primary textbook reference for checking school-level concepts. This directory does not certify the independent lesson or establish IEM examination weightage.
Found a discrepancy? Send the page and the official notice for correction.
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