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In the relation α = βt + λ, α and λ is measured in meter (m) and t is measured in second (s). The SI unit of β must be

In the relation α = βt + λ, α and λ is measured in meter (m) and t is measured in second (s). The SI unit of β must be Correct Answer ms<sup>-1</sup>

CONCEPT:

  • SI Unit: It is an abbreviation from the French name Le Systeme International d’Unites.

    • There are 7 fundamental units and two supplementary units.

 

Fundamental Units

Sl no

Quantity

 Name of the Unit 

 Symbol 

1

Length

meter

m

2

Mass

kilogram

kg

3

Time

Second

s

4

Electric Current

Ampere

A

5

Thermodynamic Temp.

Kelvin

k

6

Amount of substance

Mole

mol

7

Luminous Intensity

Candela

cd

Supplementary Units

1

Plane Angle

Radian

rad

2

Solid Angle

Steradian

sr

 

  • The dimensions of all the units shall be homogeneous.
    • Means dimension of velocity shall be added or subtracted to others having the same dimension.
    • Example - velocity is not subtracted from ampere.


CALCULATION:

Given α = βt + λ

⇒ meter = ( β × time ) + meter

⇒ (meter-meter) = ( β × time )

⇒ β = meter/time ⇒ m t-1 ⇒ m s-1

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