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A unitless quantity...

A unitless quantity

A

never has a nonzero dimension

B

always has a nonzero dimension

C

may have a nonzero dimension.

D

does not exist

Text Solution

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The correct Answer is:
A
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In the following questions, a statement of assertion is followed by a statement of reason. Mark the correct choice as (a) If both assertion and reason are true and reason is the correct explanation of assertion. (b) If both assertion and reason are true but reason is not the correct explanation of assertion. (c ) If assertion is true but reason is false. (d) If assertion and reason are false. Q. Assertion: Strain is a unitless quantity. Reason: Strain is equivalent to force.

Knowledge Check

  • Which of the following is unitless quantity?

    A
    Pressure gradient
    B
    Displacement gradient
    C
    force gradient
    D
    velocity gradient.

  • STATEMENT 1: Two quantities with different dimensions may have same unit. STATEMENT-2 Two quantities with different units may have same dimensions STATEMENT-3 Unitless quantities must be dimensionless too

    A
    TFT
    B
    TFF
    C
    TTT
    D
    FTT

  • The following is a unitless and dimensionless quantity

    A
    Angle
    B
    Solid angle
    C
    Mechanical equivalent of heat
    D
    Coefficient of friction

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    STATEMENT-1 A dimensionless quantity may have a unit STATEMENT-2 A constant may not be unitless.

    A : Displacement gradient is a dimensionless quantity. R : Displacement is dimensionless quantity.

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