Physics, asked by kanikamittal586, 7 months ago

Dimensional formula of velocity volume area speed momentum acceleration density force and work

Answers

Answered by ItzArchimedes
16

★ 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 :-

Deriving using SI units

• m means metres that means length [ L ]

Now, finding the dimensional formula

m³ → [ M⁰L³T⁰ ] or [ L³ ]

iii) Area

SI unit :-

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/

Deriving using SI units

• m means metres that means length [ L ]

• s means seconds that means Time [ T ]

Now, finding dimensional formula

ms-² [ML¹T-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 [ L-³T ] 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 [ L¹T-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 [ L²T-² ] or [ ML²T-² ]

Answered by 526526
6

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 ]

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