MHT CET202019 Oct 2020Evening ShiftPhysicsUnits and DimensionsActual
Let ' ' and 'b' be Stefan's constant and Wien's constant respectively, then dimensions of ' b ' are
Options
- A[ L ¹ M ⁻¹ ~T ⁻³ ~K ⁻³ ]
- B[ L ⁻¹ M ¹ ~T ⁻³ ~K ⁻³ ]
- C[ L ¹ M ¹ ~T ³ ~K ⁻³ ]
- D[ L ¹ M ¹ ~T ⁻³ ~K ⁻³ ]
Correct answer
D. [ L ¹ M ¹ ~T ⁻³ ~K ⁻³ ]
Step-by-step solution
Dimensions of Stefan's constant, array l [ ]= [u] [ A ][ T ]⁴ = [ ML ² ~T ⁻² ] /[ T ] [ L ² ~K ⁴ ] = [ MT ⁻³ ~K ⁻⁴ ] array Dimensions of Wien's constant, [b]=[ ][T]=[L K] array l Dimensions of [ b]= [M T⁻³ K⁻⁴ ][L K] = [L¹ M¹ T⁻³ K⁻³ ] array