JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Self Evaluation Test - Physical World, Units and Measurements

  • question_answer
    If \[Z={{A}^{3}}\], then \[\frac{\Delta Z}{Z}=\_\_\_\_\]

    A) \[\frac{\Delta {{A}^{3}}}{A}\]

    B)  \[{{\left( \frac{\Delta {{A}^{{}}}}{A} \right)}^{3}}\]

    C)  \[3\left( \frac{\Delta {{A}^{{}}}}{A} \right)\]

    D)  \[{{\left( \frac{\Delta {{A}^{{}}}}{A} \right)}^{1/3}}\]

    Correct Answer: C

    Solution :

    [c] as \[z={{A}^{3}}\], so \[\frac{\Delta z}{z}=3\frac{\Delta A}{A}\]


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