JEE Main202529 Jan 2025Morning ShiftPhysicsUnits and DimensionsActual
The expression given below shows the variation of velocity ((v) ) with time (t), (v= At ^2+ Bt C + t ). The dimension of ABC is :
Options
- A( [ M ^0 ~L ^1 ~T ⁻³ ] )
- B( [ M ^0 ~L ^2 ~T ⁻² ] )
- C( [ M ^0 ~L ^1 ~T ⁻² ] )
- D( [ M ^0 ~L ^2 ~T ⁻³ ] )
Correct answer
D. ( [ M ^0 ~L ^2 ~T ⁻³ ] )
Step-by-step solution
aligned & [ LT ⁻¹ ]=[ A ] [ T ^2 ]= [ B ][ T ] [ C ]+[ T ] & [ C ]=[ T ] & [ A ]= [ LT ⁻³ ] & [ B ]= [ LT ⁻¹ ] & [ ABC ]= [ L ^2 ~T ⁻³ ] aligned