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Which of the following pair does not have similar dimensions sress and pressure angle and strain tension and surface tension energy and work |
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Answer» Tension and surface tensionSurface Tension(T)= LengthForce . . . . . (1)Since, FORCE=Mass×AccelerationAnd, Acceleration= timevelocity =[LT −2 ]∴ The dimensional formula of force =M 1 L 1 T −2 . . . . (2)On substituting EQUATION (2) in equation (1) we GET,Surface Tension (T)= LengthForce Or, T= [L 1 ][M 1 L 1 T −2 ] =M 1 T −2 Therefore, surface tension is dimensionally represented as [M 1 T −2 ]Tension is DEFINED as the magnitude of force.∴ DEMENSION of Tension = Dimension of ForceSo, dimension of tension =M 1 L 1 T −2 So the dimension of tension and surface tension is differentExplanation:Tension and surface tensionSurface Tension(T)= LengthForce . . . . . (1)Since, Force=Mass×AccelerationAnd, Acceleration= timevelocity =[LT −2 ]∴ The dimensional formula of force =M 1 L 1 T −2 . . . . (2)On substituting equation (2) in equation (1) we get,Surface Tension (T)= LengthForce Or, T= [L 1 ][M 1 L 1 T −2 ] =M 1 T −2 Therefore, surface tension is dimensionally represented as [M 1 T −2 ]Tension is defined as the magnitude of force.∴ Demension of Tension = Dimension of ForceSo, dimension of tension =M 1 L 1 T −2 So the dimension of tension and surface tension is different |
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