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If energy `(E )` , velocity `(V)` and time `(T)` are chosen as the fundamental quantities , the dimensions formula of surface tension will be

A

`[E^(2)V^(-1)T^(-3)]`

B

`E V^(-2)T^(-1)]`

C

`[EV^(-1)T^(-2)]`

D

`[E V^(-2)T^(-2)]`

Text Solution

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The correct Answer is:
D
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MOTION-UNITS AND DIMENSIONS, BASIC MATHEMATICS -Exercise - 3 ( Section-A Previous Year Problems )
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  2. The speed (v) of ripples on the surface of waterdepends on surface ten...

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  3. The velocity (V) of a particle (in cm/s) is given in terms of time (t)...

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  4. If P represents radiation pressure , C represents the speed of light ...

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  5. The physical quantity having the dimensions [M^(–1)L^(–3)T^(3)A^(2)] i...

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  6. the dimensional formula for planck's constant and angular momentum ar...

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  7. If dimensions of A and B are different, then which of the following op...

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  8. Which two of the following five physical parameters have the same dime...

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  9. The speed of light ( c), gravitational constant (G) and plank's consta...

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  10. If the error in the measurement of radius of a sphere in 2% then the e...

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  11. If the dimensions of a physical quantity are given by M^(a)L^(b)T^(c)...

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  12. The dimensions of (mu(0)epsilon(0))^(-1//2) are

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  13. Find the dimensions of capacitance.

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  14. IF C and R denote capacitance and resistance, then find the dimension ...

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

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  16. If force (F) velocity (V) and time (T) are taken as fundamental units,...

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  17. In the relation: P=(alpha)/(beta)e^(-(alphaZ)/(ktheta)),P is pressure ...

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  18. In dimension of circal velocity v(0) liquid following through a take a...

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

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  20. A physical energy of the dimension of length that can be formula cut o...

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