Posted On : 22.06.2018 07:22 pm

## Chapter: __11th Physics : UNIT 1 : Nature of Physical World and Measurement__

**Solved Example Problems for Propagation of errors**

Physics : Nature of Physical World and Measurement

## (i) Solved Example Problem for Error in the sum of two quantities

Example 1.5

Two resistances R1 = (100 ± 3) Ω, R2 = (150 ± 2) Ω, are connected in series. What is their equivalent resistance?

*Solution*

Equivalent resistance R = ?

Equivalent resistance R = R1 + *R*2

## (ii) Solved Example Problem for Error in the difference of two quantities

Example 1.6

The temperatures of two bodies measured by a thermometer are t1 = (20 + 0.5)°C, t2 = (50 ± 0.5)°C. Calculate the temperature difference and the error therein.

*Solution*

## (iii) Example Problem for Error in the product of two quantities

Example 1.7

The length and breadth of a rectangle are (5.7 ± 0.1) cm and (3.4 ± 0.2) cm respectively. Calculate the area of the rectangle with error limits.

Solution

## (iv) Example Problem for Error in the division or quotient of two quantities

Example 1.8

The voltage across a wire is (100 ± 5)V and the current passing through it is (10±0.2) A. Find the resistance of the wire.

*Solution*

## (v) Example Problem for Error in the power of a quantity

Example 1.9

A physical quantity *x i*s given by *x*

If the percentage errors of measurement in a, b, c and d are 4%, 2%, 3% and 1% respectively then calculate the percentage error in the calculation of *x.*

*Solution*

The percentage error in *x* is given by

The percentage error is *x* = 17.5%

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11th Physics : UNIT 1 : Nature of Physical World and Measurement : Solved Example Problems for Propagation of errors |