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Which of the following pairs does not have similar (same) dimensions?
Checking each pair:
- Tension: $[MLT^{-2}]$ (force). Surface tension: $[MT^{-2}]$ (force per length). These are different โ this pair does NOT have the same dimensions.
- Stress and Pressure: both $= [ML^{-1}T^{-2}]$ โ same dimensions.
- Planck's constant $[h] = [ML^2T^{-1}]$. Angular momentum $[L] = [ML^2T^{-1}]$ โ same dimensions.
- Angle and Strain: both are dimensionless ratios โ same dimensions.
Tension $[MLT^{-2}]$ vs Surface tension $[MT^{-2}]$ โ these differ by $[L]$, so this pair does NOT have similar dimensions.
- AsโOโ: acidic/amphoteric โ reacts
- BโOโ: acidic โ reacts (โ NaBOโ)
- SbโOโ: amphoteric โ reacts
- SeOโ: acidic โ actually does react. But CaO (basic) does not react.
Before Maria changed jobs, her salary was 24 percent more than Julio's salary. After Maria changed jobs, her new salary was 24 percent less than her old salary.
Compare:
Column A: Julio's salary
Column B: Maria's new salary
Let Julio's salary be $J$ and Maria's old salary be $M_{old}$.
Given: $M_{old} = 1.24J$
Maria's new salary: $M_{new} = M_{old} - 0.24M_{old} = 0.76M_{old} = 0.76(1.24J) = 0.9424J$
Comparing:
- Column A: $J = 1.0J$
- Column B: $0.9424J$
Since $1.0 > 0.9424$, Column A (Julio's salary) is greater than Column B (Maria's new salary).
Therefore, Column A is greater.
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