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Writing symbols of units - class-XI
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If units of mass and length are doubled and that of time remains same, in which quantity numberical value is unchanged?
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A
Stress
💡 Explanation:
Stress is defined as force per unit area (Force/Area). If mass and length are doubled, Force (MLT^-2) scales by 211^-2 = 2, and Area (L^2) scales by 2^2 = 4. Stress scales by 2/4 = 0.5, which changes. However, in many physics contexts, if units are changed proportionally, dimensionless quantities or specific ratios remain unchanged; checking the dimensions, Stress is M L^-1 T^-2. If M -> 2M and L -> 2L, the new value is (2M)(2L)^-1 T^-2 = (2/2) M L^-1 T^-2 = 1. Thus, the numerical value remains unchanged.