Dimensional formula of velocity volume area speed momentum acceleration density force and work
Answers
★ Solution
We need to find the dimensional formulas of :-
- Velocity
- Area
- Volume
- Speed
- Momentum
- Acceleration
- Density
- Force
- Work
i) Velocity
SI unit :- m/s → ms-¹
Deriving using SI units
• m means metre that means length [ L ]
• s means seconds that means Time [ T ]
Now , finding dimensional Forma
ms-¹ → [ M⁰L¹T-¹ ] or [ LT-¹ ]
ii) Volume
SI unit :- m³
Deriving using SI units
• m means metres that means length [ L ]
Now, finding the dimensional formula
m³ → [ M⁰L³T⁰ ] or [ L³ ]
iii) Area
SI unit :- m²
Deriving using SI units
• m means metres that means length [ L ]
Now , finding dimensional formula
m² → [ M⁰L²T⁰ ] or [ L² ]
iv) Speed
SI unit :- m/s → ms-¹
Deriving using SI units
• m means metres that means length [ L ]
• s means seconds that means Time [ T ]
Now , finding dimensional formula
ms-¹ → [ M⁰L¹T-¹ ] or [ LT-¹ ]
v) Momentum
SI unit :- kgm/s → kgms-¹
Deriving using SI units
• kg means kilograms that means Mass [ M ]
• m means metre that means Length [ L ]
• s means seconds that meana Time [ T ]
Now , finding dimensional formula
kgms-¹ → [ M¹L¹T-¹ ] or [ MLT-¹ ]
vi) Acceleration
SI unit :- m/s²
Deriving using SI units
• m means metres that means length [ L ]
• s means seconds that means Time [ T ]
Now, finding dimensional formula
ms-² → [M⁰L¹T-² ] or [ LT-² ]
vii) Density
SI unit :- kgm-³
Deriving using SI units
• kg means kilograms that means Mass [ M ]
• m means metre that means Length [ L ]
Now , finding dimensional formula
kgm-³ → [ M¹L-³T⁰ ] or [ ML-³ ]
viii) Force
SI unit :- N (Newton) → kgms-²
Deriving using SI units
• kg means kilograms that means Mass [ M ]
• m means metre that means Length [ L ]
• s means seconds that meana Time [ T ]
Now , finding dimensional formula
kgms-² → [ M¹L¹T-² ] or [ MLT-² ]
ix) Work
SI unit :- J(Joule) → kgm²s-²
Deriving using SI units
• kg means kilograms that means Mass [M]
• m means metre that means length [ L ]
• s means seconds that meana Time [ T ]
Now , finding dimensional formula
kgm²s-² → [ M¹L²T-² ] or [ ML²T-² ]
Answer:
Please mark as brainalist answer
Explanation:
Solution
We need to find the dimensional formulas of :-
Velocity
Area
Volume
Speed
Momentum
Acceleration
Density
Force
Work
i) Velocity
SI unit :- m/s → ms-¹
Deriving using SI units
• m means metre that means length [ L ]
• s means seconds that means Time [ T ]
Now , finding dimensional Forma
ms-¹ → [ M⁰L¹T-¹ ] or [ LT-¹ ]
ii) Volume
SI unit :- m³
Deriving using SI units
• m means metres that means length [ L ]
Now, finding the dimensional formula
m³ → [ M⁰L³T⁰ ] or [ L³ ]
iii) Area
SI unit :- m²
Deriving using SI units
• m means metres that means length [ L ]
Now , finding dimensional formula
m² → [ M⁰L²T⁰ ] or [ L² ]
iv) Speed
SI unit :- m/s → ms-¹
Deriving using SI units
• m means metres that means length [ L ]
• s means seconds that means Time [ T ]
Now , finding dimensional formula
ms-¹ → [ M⁰L¹T-¹ ] or [ LT-¹ ]
v) Momentum
SI unit :- kgm/s → kgms-¹
Deriving using SI units
• kg means kilograms that means Mass [ M ]
• m means metre that means Length [ L ]
• s means seconds that meana Time [ T ]
Now , finding dimensional formula
kgms-¹ → [ M¹L¹T-¹ ] or [ MLT-¹ ]
vi) Acceleration
SI unit :- m/s²
Deriving using SI units
• m means metres that means length [ L ]
• s means seconds that means Time [ T ]
Now, finding dimensional formula
ms-² → [M⁰L¹T-² ] or [ LT-² ]
vii) Density
SI unit :- kgm-³
Deriving using SI units
• kg means kilograms that means Mass [ M ]
• m means metre that means Length [ L ]
Now , finding dimensional formula
kgm-³ → [ M¹L-³T⁰ ] or [ ML-³ ]
viii) Force
SI unit :- N (Newton) → kgms-²
Deriving using SI units
• kg means kilograms that means Mass [ M ]
• m means metre that means Length [ L ]
• s means seconds that meana Time [ T ]
Now , finding dimensional formula
kgms-² → [ M¹L¹T-² ] or [ MLT-² ]
ix) Work
SI unit :- J(Joule) → kgm²s-²
Deriving using SI units
• kg means kilograms that means Mass [M]
• m means metre that means length [ L ]
• s means seconds that meana Time [ T ]
Now , finding dimensional formula
kgm²s-² → [ M¹L²T-² ] or [ ML²T-² ]