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Which of the following pairs does not ha...

Which of the following pairs does not have similar dimensions?

A

Stress and pressure

B

Tension and surface tension

C

Plank 's constant and angular momentum

D

Angle and strain

Text Solution

Verified by Experts

The correct Answer is:
B

Dimensional formula of surfece tension
surface area `= ("force")/("Langth") = ([MLT^(-2)])/([L]) = [MT^(-2)]`
Dimensional formula of tension `= [MLT^(-2)]`
Hence, dimensions of surface tension and tension are not equal.
Dimensional formula of stress and pressure is `[ML^(-1)T^(-2)]`.
Dimensional formula of Plank's constant and angular momentum is `[ML^(2)T^(-1)]`.
Also dimensional formula of angle and strain is same.
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Knowledge Check

  • Which of the following pairs does not hace similar dimensions?

    A
    Tension and surface tension
    B
    Stress and Pressure
    C
    Planck's constant and angular momentum
    D
    Angle and strin
  • The following pair does not have same dimensions

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    Angular velocity, velocity gradient
    C
    Surface tension and force constant
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    Impulse and torque
  • Which of the following pair of atoms have similar

    A
    Hf and Os
    B
    W and Mo
    C
    Hf and Nb
    D
    Ta and Mo
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