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Question (11)
QN0034703

What are the dimensions of  in the relation , where  is the force,  is the distance and  is time?                                

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

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Question (12)
QN0034704

A physical quantity  depends on quantities  and  as follows : , where  and  are constants. Which of the following do not have the same dimensions:

  • (A)

    and 

  • (B)

    and 

  • (C)

    and 

  • (D)

    and 

Correct Answer: D
Explanation:

(d) Trigonometric functions are dimensionless.

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Question (13)
QN0034705

Which of the following equations is dimensionally incorrect?

Where  time,  height,  surface tension,  angle,  density,  radius,  acceleration due to gravity,  volume,  pressure,  work done,  permittivity,  electric field,  current density,  length,  torque

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

(a) (i)  Volumetric flow rate (Poiseuille's law)

(ii)

(iii)

LHS

(iv) .

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Question (14)
QN0034706

If force , length  and time  are assumed to be fundamental units; then the dimensional formula of the mass will be

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

(a) Let

Substituting the dimensions of

and  and comparing both side, we get

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