Posted by **help me out it's urgent** on Monday, July 30, 2012 at 2:54pm.

1.The potiential energy of a particle varies with distance x from a fixed origin as v=A√x/x+B where A and B are constants.Find the dimensions of AB.

2.The refractive index of a material is given by the equation ʯ=A+B/ʎsquare where A and B are constants,ʎ is wavelength.Then find the dimensional formula for B.

3.A force is given by f=at+btsquare where t is time, what are the dimensions of a and b.

- physics -
**Elena**, Monday, July 30, 2012 at 4:26pm
1. If the expression is U=(A•√x)/(B+x), then

[B] = m =MLºTº,

A•√m/m=J.

[A]=J•m/√m=J•√m=kg•m²•m½/s² =kg•m^(5/2)/s²=ML^(5/2) T^-2

2. [A] and [n] are dimensionless,

[B] =m² =MºL²Tº.

3.

f=At+Bt²

[A]=N/s=kg•m/s²•s= kg•m/s ³= MLT^-3,

[B]=N/s²= MLT^-4.

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