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Which of the following sets have differe...

Which of the following sets have different dimensions ?

A

Pressure, Young's modulus, Stress

B

Emf, Potential difference, Electric Potential

C

Heat, Work done, Energy

D

Dipole moment, Electric flux, Electric field

Text Solution

Verified by Experts

The correct Answer is:
D

(i) Dipole moment= Change `xx` Length
Dipole moment`=[I^(1)T^(1)][L^(1)]=[L^(1)I^(1)T^(1)]`
(ii) Electric flux `=q/in_(0)=([I^(1)T^(1)])/([M^(-1)L^(3)T^(4)I^(2)])=[M^(1)L^(3)T^(-3)I^(-1)]`
(iii) Electric field `=F/q`
Electric field`=([M^(1)L^(1)T^(-2)])/([I^(1)T^(1)])=[M^(1)L^(1)T^(-3)I^(-1)]`
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ALLEN-MISCELLANEOUS-Exersice -05(B)
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  2. In the formula X = 3YZ^(2),X and Z have dimensions of capacitance and ...

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  3. The dimensions of electrical conductivity is …………

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  4. The equation of state of a real gas is given by (P+a/V^(2)) (V-b)=RT ...

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  5. (a) In the formula X=3YZ^(2), X and Z have dimensions of capcitnce and...

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  6. The dimensions of 1/2 epsilon(0)E^(2) (epsilon(0)= permittivity of fre...

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  7. A quantity X is given by in(0) L(DeltaV)/(Delta t), where in(0) is the...

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  8. In the relation, P=alpha/beta e^((alphaZ)/(ktheta))P is pressure, Z is...

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  9. Which of the following sets have different dimensions ?

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  10. L, C and R represent the physical quantities inductance, capacitance a...

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  11. The dimensions of the quantities in one (or more) of the following pai...

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  12. The pairs of physical quantities that have the same dimensions is (are...

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  13. Let [epsilon(0)] denote the dimensional formula of the permittivity of...

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  14. The SI unit of the inductance, the henry can by written as-

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  15. Column-1 gives three physical quantities. Select the appropriate units...

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  16. Match the physical quantities given on column I with dimensions expres...

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  17. Some physical quanties are given in Column I and some possible SI unit...

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  18. Match List I with List II and select the correct answer using the code...

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  19. During Searle's experiment, zero of the Vernier sacle lies between 3.2...

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