Tuesday, December 30, 2008

units-Dimensions ( QA)

23. What are the dimensions of electric conductivity in mass , length and current.

Ans : Electric conductivity has -1,-3 and 2 dimensions in mass,length and current respectively.

24. What is the unit of electric conductivity in C.G.S and S.I systems?

Ans : It has no unit in C.G.S system ; its unit in S.I system is Siemen/meter or S/m.

25.What are the uses of Dimensional methods?

Ans : To convert units from one system to another. ii )To check the correctness of equations connecting physical quantities iii )To derive the expressions connecting physical quantities.

26. Which is the physical quantity whose S.I unit is Am ?

Ans: Magnetic pole strength.

27. V/m or N/Coulomb are the units of ……. Physical quantity.

Ans : These are the units of Electric field strength.

28.Name five physical quantities which neither have dimensions nor units.

Ans : Refractive Index , specific gravity,susceptibility,dielectric constant, coefficient of friction.

29. If V = Xt+Y ; V is the velocity , t is time.What are the dimensional formulas of X and Y ?

Ans : According to principle of homogeneity of dimensions, the dimensions of M,L and T in every term should be same.

Therefore M^0L^1T^{-1} = X M^0L^0T^1 → X = \frac{M^0L^1T^{-1}}{ M^0L^0T^1} ; X → L^1T^{-2} and Y→ L^1T^{-1}

30.Which physical quantities does not possess dimensions in mass ?

Ans :Area,volume, velocity, acceleration,angular displacement, angular velocity, angular acceleration.

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