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If pressure P, velocity V and time T are...

If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force if

A

`[P^1 v^1 T^1]`

B

`[P^1 v^2 T^1]`

C

`[P^1 v^1 T^2]`

D

`[P^1 v^2 T^2]`

Text Solution

Verified by Experts

The correct Answer is:
D
`F prop P^a V^b T^c`
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NARAYNA-UNITS AND MEASUREMENTS-EXERCISE -I (H.W)
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  2. When 57.986 is rounded off to 4 significant figures, then it becomes....

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  3. If 'L' is length of sample pendulum and 'g' is acceleration due to gra...

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  4. The demensional formula for the product of two physical quantites P an...

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  5. The fundamental physical quantites that have same dimesions in the di...

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  6. The eta is rigidity modulus, r is the radius , l is the length and C ...

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  7. The acceleration of an object vareis with time as a = AT^(2) + BT + C ...

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  8. If eta = (A)/(B) log (Bx + C) is dimensionally true, then (here eta is...

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  9. If the velocity (v) of a body in time 't' is given by V = AT^(3) + BT^...

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  10. In the relation V = ( pi)/( 8) ( P r^(4))/( nl) , where the letters ha...

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  11. If the acceleration due to gravity is 10ms^(-2) and unit of length and...

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  12. The magnitude of Energy is 100J What will be its value if the units o...

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  13. If the units of mass and velocity are increased by two times then the ...

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  14. SI unit and CGS unit of quantity does not vary by 10^(7) times, it is ...

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  15. The initial velocity of a particle is given by u^(2) = v^(2) - 2gx whe...

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  16. The eqaction which is dimensionally correct among the following is

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  17. The dimensions of gamma in the relation v = sqrt((gamma p)/(rho)) (whe...

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  18. If frequency F, velocity V , and density D are considered fundamental ...

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  19. If momentum (p), Mass (M), Time (T) are chosen as fundamental quantit...

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  20. If pressure P, velocity V and time T are taken as fundamental physical...

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