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  • Can someone explain - The diameter and height of a cylinder are measured by a meter scale to be and , respectively. What - Physics and Measurement - JEE Main

The diameter and height of a cylinder are measured by a meter scale to be 12.6\pm 0.1cm and 34.2\pm 0.1cm, respectively. What will be the value of its volume of its volume in appropriate significant figure ?

 

  • Option 1)

    4300\pm 80\: cm^{3}

  • Option 2)

    4264.4\pm 81.0\: cm^{3}

  • Option 3)

    4264\pm 81\: cm^{3}

  • Option 4)

    4260\pm 80\: cm^{3}

Answers (1)

best_answer

 

All non zero digits are significant -

42.3     -Three significant figure

238.4     -four significant figure

33.123    -five significant figure

-

 

 

A zero becomes significant figure if it exists between two non zero digits -

2.09    - Three significant figures

8.206    -four  significant figures

6.002    -four  significant figures

-

The number of significant figyres in a dismeter and height is 3.

Only option 4260 \pm 80cm3  have three significant figures.

Errors = \frac{0.2}{12.6} \times 4260 +0.1 \times \frac{4260}{34.2} = 80

 

 


Option 1)

4300\pm 80\: cm^{3}

Option 2)

4264.4\pm 81.0\: cm^{3}

Option 3)

4264\pm 81\: cm^{3}

Option 4)

4260\pm 80\: cm^{3}
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