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If mass, length, time and electric curre...

If mass, length, time and electric current is represented as M, L, T, I respectively, then dimension of resistance will be .....

A

`ML^(2)T^(-2)`

B

`ML^(2)T^(-1)I^(-1)`

C

`ML^(2)T^(-3)I^(-2)`

D

`ML^(2)T^(-3)I^(-1)`

Text Solution

Verified by Experts

`R=(V)/(I)`
`=(E)/(I^(2)t) " " [ :. V=(E)/(Q), Q=It]`
`[R]=(E)/([I]^(2)[t])`
`=((ML^(2)T^(-2)))/((I^(2))(T))`
`=ML^(2)T^(-3)I^(-2)`
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KUMAR PRAKASHAN-UNITS AND MEASUREMENT-SECTION -E (MULTIPLE CHOICE QUESTIONS (MCQS) (MCQS ASKED IN GUJARAT BOARD AND COMPETITIVE EXAMS)
  1. Which of the following pair do not have same dimension?

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  2. A cylindrical rod having temperature T(1) and T(2) at its end. The rat...

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  3. SI unit of Stefan-Boltzmaan constant is . . .. . . .

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  4. Which of the following is unit of permitivity of vaccum ?

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  5. Ratio of unit of Planck's constant and moment of inertia will give whi...

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  6. Velocity of a particle at time t is given by v=at+(b)/(t+c)a,b, care c...

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  7. If mass, length, time and electric current is represented as M, L, T, ...

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  8. If the error in measurement of radius of a shpere is 2% then the error...

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  9. Which of the following two parameter have same dimension? (a) energ...

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  10. Dimension of a physical quantity is M^(a)L^(b)T^(c), then it is ......

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  11. Dimension of (1)/(2)epsi(0)E^(2) is...... epsi(0) permittive of vaccum...

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  12. Dimension of [mu(0)epsi(0)]^(-(1)/(2))....

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  13. If force (F), velocity (v) and time (T) are taken as fundamental unit...

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  14. If energy (E), velocity (V) and time (T) are chosen as the fundamental...

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  15. In dimension of critical velocity v(c) of liquid following through a t...

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  16. If Plank constant (h) speed of free space light (c) and Newton gravita...

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  17. A student perform experiment to measure thickness of slab by using ver...

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  18. In an experiment four quantities a,b,c and d are measured with percent...

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  19. The density of a material in the shape of a cube is determined by meas...

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  20. A student measured the diameter of a small steel ball using a screw ga...

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