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14. Differentials, Errors and Approximations
Home · Class 12 · Maths · Ref. Book · 14. Differentials, Errors and Approximations
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Q2 of 61 Page 14

Mark the correct alternative in the following:

If there is an error of a% in measuring the edge of a cube, then percentage error in its surface is:


given that

% Error in measuring the edge of a cube [(ΔL/L)×100] is = a (if L is edge of the cube)


We have to find out (ΔA/A)×100 = ? (IF let the surface of the cube is A)


By the formula of approximation of derivation we get,



=2×a


=2a

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16

Find the approximate change in the volume of a cube of side x meters caused by increasing the side by 1%.

1

Mark the correct alternative in the following:

If there is an error of 2% in measuring the length of a simple pendulum, then percentage error in its period is:


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Mark the correct alternative in the following:

If an error of k% is made in measuring the radius of a sphere, then percentage error in its volume is


4

Mark the correct alternative in the following:

The height of a cylinder is equal to the radius. If an error of α% is made in the height, then percentage error in its volume is:


Questions · 61
14. Differentials, Errors and Approximations
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