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If the magnitude of length is halved and...

If the magnitude of length is halved and that of mass is double then dimension of force is

A

`[M^(2)L^(-2)T^(-2)]`

B

`[M^(2)L^(-1//2)T^(-2)]`

C

`[M^(2)L^(1//2)T^(-2)]`

D

`[M^(1)L^(1)T^(-2)]`

Text Solution

Verified by Experts

The correct Answer is:
d
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TARGET PUBLICATION-MEASUREMENTS-CRITICAL THINKING ( DIMENSIONAL ANALYSIS )
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  2. The dimensions of length in electric field, electric flux and electric...

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  3. If L denotes the inductance of an inductor through which a current i i...

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  4. If the magnitude of length is halved and that of mass is double then d...

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  5. Out of the following pairs, which one does NOT have identical dimensio...

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  6. Which of the following equations is dimensionally correct?

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  8. The dimensions of is that of

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  9. Which of the following pairs has the same dimensions?

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  10. A small steel ball of mass m and radius r is falling under gravity thr...

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  11. A force F is given by F = at + bt^(2) , where t is time . What are the...

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  12. Write the dimensions of a//b in the relation F = a sqrtx + bt^2 where ...

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  13. For the equation F = A^(a) v^(b) d^(c) where F is force, A is area, v ...

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  14. Using the principle of homogeneity of dimensions, find which of the fo...

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  15. The period T of a soap bubble under SHM is given by T = P^(a) D^(b) S^...

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  16. The equation of a wave is given by Y = A sin omega ((x)/(v) - k), wher...

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  17. The dimensions of a/b in the equation P=(a-t^(2))/(bx) where P is pre...

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  18. The equation of the state of some gases can be expressed as (P +(a)/(V...

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  19. If the speed of light c, acceleration due to gravity (g) and pressure ...

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  20. The value of acceleration due to gravity is 980 cm s^(-2). What will ...

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