physics
posted by help me out it's urgent .
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.

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.
Respond to this Question
Similar Questions

Physics  EM spectrum
Here's the question: which part of the electromagnetic spectrum has a refractive index of 1.45 in glass? 
Physics
The refractive index of a material is different for different wavelengths and colours of light. For most materials in the visible range of the electromagnetic spectrum, shorter wavelengths have larger refractive index compared to longer … 
Algebra
1) Is the equation: 28  4√2 = 24√2 True? 
Physics HELPP !!
The antireflecting coating works best if its refractive index is the square root of the refractive index of the lens inthe eye glasses. a) determine the refractive index of the lens that gives the best results 
Physics
A particle of mass m moves in a xy plane. the coordinates of the particle at any instant are given by x=acos(wt) y = bsin(wt). where a,b,w, are constants. determine angular momentum ofthe particle with respect to the origin of the … 
Algebra 2 Answer Check
Simplify by rationalizing each denominator. 1. 2/√3 A: 2√3 / 3 2. 18/√6 A: 3√6 Add or subtract. 3. 4√3  9√3 A: 5√3 4. √8  15√2 A: 13√2 5. √45 + √20 A: 5√5 … 
physics/chem
Okay so I want to solve for refractive index. I'm given the dielectric constant and the permeability M. From what I understand the refractive index is frequency dependent. I'm just unsure what equation to use. n=(Er)^1/2 does not work … 
physics/chemistry
Okay so I want to solve for refractive index. I'm given the dielectric constant and the permeability M. From what I understand the refractive index is frequency dependent. I'm just unsure what equation to use. n=(Er)^1/2 does not work … 
physics
water and glass with refractive index of 1.5 are interfaced.if the incident ray are from the water makes an angle 60 degrees with the normal.find the direction of the reflected and refracted rays(given that refractive index of glass … 
Physics
A nonreflecting single layer of a lens coating is to be deposited on a lens of refractive index n = 1.7. Determine the refractive index of a coating material and the thickness required to produce zero reflection for light of wavelength …