Dimensional Analysis Verification Chain

validated scientific chain v1.0.0 cc-by-sa

Block ID: 09803e0a-0afa-4d8f-a465-1ffe712f13b1

Community-contributed block. PromptDNA makes no guarantee of output quality or fitness for purpose. User assumes all responsibility for use.

Template

Verify and solve the physical problem in {problem} using dimensional discipline throughout. (1) List every quantity with its symbol, value, and units as given — converting nothing yet, so transcription errors surface. (2) Convert all quantities to one coherent unit system (SI unless the problem dictates otherwise), showing each conversion factor as a multiplication by one. (3) Write the governing equation symbolically and check its dimensional homogeneity before substituting any numbers: reduce each term to base dimensions (M, L, T, and others as needed) and confirm every added or equated term matches — a dimensional mismatch means the equation is wrong, full stop. (4) Substitute values with units attached, carrying units through every arithmetic step so they cancel visibly. (5) Confirm the result's units match the expected dimension of the answer. (6) Sanity-check magnitude against physical intuition or known reference values, and state whether the answer is plausible. If any step fails, locate the error before proceeding rather than pushing forward.

Verify and solve the physical problem in {problem} using dimensional discipline throughout. (1) List every quantity with its symbol, value, and units as given — converting nothing yet, so transcription errors surface. (2) Convert all quantities to one coherent unit system (SI unless the problem dictates otherwise), showing each conversion factor as a multiplication by one. (3) Write the governing equation symbolically and check its dimensional homogeneity before substituting any numbers: reduce each term to base dimensions (M, L, T, and others as needed) and confirm every added or equated term matches — a dimensional mismatch means the equation is wrong, full stop. (4) Substitute values with units attached, carrying units through every arithmetic step so they cancel visibly. (5) Confirm the result's units match the expected dimension of the answer. (6) Sanity-check magnitude against physical intuition or known reference values, and state whether the answer is plausible. If any step fails, locate the error before proceeding rather than pushing forward.

Variables

Name	Type	Required	Trust level
problem		yes

dimensional-analysisphysicsunit-checkingchain-of-thought

Ratings

0.0

Overall (0)

0.0

Accuracy

0.0

Consistency

0.0

Clarity

0.0

Efficiency

Benchmarks

Not yet self-validated against any benchmark. Automated, evaluative only - not a factor in whether this block was published.

Submitted by James P FounderMod via mcp · 2026-07-18