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Units and Measurements

269201 The diameter of a wire as measured by a screw gaugewasfound to be $1.002 cm, 1.004$ $cm$ and $1.006 cm$ . The absolute error in the third reading is

1

0.002 cm

2

0.004 cm

3

1.002 cm

4 zero

Explanation:

$Δ x_{3} = | x_{3} - x_{mean} |$

Units and Measurements

269202 Force and area are measured as $20 N$ and $5 m^{2}$ with errors $0.05 N$ and $0.0125 m^{2}$ . The maximum error in pressure is (SI unit)

1

4 \pm 0.0625

2

4 \pm 0.05

3

4 \pm 0.125

4

4 \pm 0.02

Explanation:

$P = \frac{F}{A} \Rightarrow \frac{Δ P}{P} = \frac{Δ F}{F} + \frac{Δ A}{A} \Rightarrow Δ P = P (\frac{Δ F}{F} + \frac{Δ A}{A})$

Units and Measurements

269203 The length and breadth of a rectangular object are $25.2 cm$ and $16.8 cm$ respectively and have been measured to an accuracy of $0.1 cm$ . Relative error and percentage error in the area of the object are

1

0.01 & 1 %

2

0.02 & 2 %

3

0.03 & 3 %

4

0.04 & 4 %

SIGNIFICANT FIGURES \& ROUNDING OFF

Explanation:

$A = l \times b; \frac{Δ A}{A} = \frac{Δ l}{l} + \frac{Δ b}{b}$
$\frac{Δ A}{A} \times 100 = (\frac{Δ l}{l} + \frac{Δ b}{b}) \times 100$

Units and Measurements

269205 The length, breadth and thickness of a rectangular lamina are $1.024 m, 0.56 m$ , and $0.0031 m$ . The volume is

1

1.8 \times 10^{- 3}

2

1.80 \times 10^{3}

3

0.180 \times 10^{4}

4 0.00177

Units and Measurements

269201 The diameter of a wire as measured by a screw gaugewasfound to be $1.002 cm, 1.004$ $cm$ and $1.006 cm$ . The absolute error in the third reading is

1

0.002 cm

2

0.004 cm

3

1.002 cm

4 zero

Explanation:

$Δ x_{3} = | x_{3} - x_{mean} |$

Units and Measurements

269202 Force and area are measured as $20 N$ and $5 m^{2}$ with errors $0.05 N$ and $0.0125 m^{2}$ . The maximum error in pressure is (SI unit)

1

4 \pm 0.0625

2

4 \pm 0.05

3

4 \pm 0.125

4

4 \pm 0.02

Explanation:

$P = \frac{F}{A} \Rightarrow \frac{Δ P}{P} = \frac{Δ F}{F} + \frac{Δ A}{A} \Rightarrow Δ P = P (\frac{Δ F}{F} + \frac{Δ A}{A})$

Units and Measurements

269203 The length and breadth of a rectangular object are $25.2 cm$ and $16.8 cm$ respectively and have been measured to an accuracy of $0.1 cm$ . Relative error and percentage error in the area of the object are

1

0.01 & 1 %

2

0.02 & 2 %

3

0.03 & 3 %

4

0.04 & 4 %

SIGNIFICANT FIGURES \& ROUNDING OFF

Explanation:

$A = l \times b; \frac{Δ A}{A} = \frac{Δ l}{l} + \frac{Δ b}{b}$
$\frac{Δ A}{A} \times 100 = (\frac{Δ l}{l} + \frac{Δ b}{b}) \times 100$

Units and Measurements

269205 The length, breadth and thickness of a rectangular lamina are $1.024 m, 0.56 m$ , and $0.0031 m$ . The volume is

1

1.8 \times 10^{- 3}

2

1.80 \times 10^{3}

3

0.180 \times 10^{4}

4 0.00177

Units and Measurements

269201 The diameter of a wire as measured by a screw gaugewasfound to be $1.002 cm, 1.004$ $cm$ and $1.006 cm$ . The absolute error in the third reading is

1

0.002 cm

2

0.004 cm

3

1.002 cm

4 zero

Explanation:

$Δ x_{3} = | x_{3} - x_{mean} |$

Units and Measurements

269202 Force and area are measured as $20 N$ and $5 m^{2}$ with errors $0.05 N$ and $0.0125 m^{2}$ . The maximum error in pressure is (SI unit)

1

4 \pm 0.0625

2

4 \pm 0.05

3

4 \pm 0.125

4

4 \pm 0.02

Explanation:

$P = \frac{F}{A} \Rightarrow \frac{Δ P}{P} = \frac{Δ F}{F} + \frac{Δ A}{A} \Rightarrow Δ P = P (\frac{Δ F}{F} + \frac{Δ A}{A})$

Units and Measurements

269203 The length and breadth of a rectangular object are $25.2 cm$ and $16.8 cm$ respectively and have been measured to an accuracy of $0.1 cm$ . Relative error and percentage error in the area of the object are

1

0.01 & 1 %

2

0.02 & 2 %

3

0.03 & 3 %

4

0.04 & 4 %

SIGNIFICANT FIGURES \& ROUNDING OFF

Explanation:

$A = l \times b; \frac{Δ A}{A} = \frac{Δ l}{l} + \frac{Δ b}{b}$
$\frac{Δ A}{A} \times 100 = (\frac{Δ l}{l} + \frac{Δ b}{b}) \times 100$

Units and Measurements

269205 The length, breadth and thickness of a rectangular lamina are $1.024 m, 0.56 m$ , and $0.0031 m$ . The volume is

1

1.8 \times 10^{- 3}

2

1.80 \times 10^{3}

3

0.180 \times 10^{4}

4 0.00177

Units and Measurements

269201 The diameter of a wire as measured by a screw gaugewasfound to be $1.002 cm, 1.004$ $cm$ and $1.006 cm$ . The absolute error in the third reading is

1

0.002 cm

2

0.004 cm

3

1.002 cm

4 zero

Explanation:

$Δ x_{3} = | x_{3} - x_{mean} |$

Units and Measurements

269202 Force and area are measured as $20 N$ and $5 m^{2}$ with errors $0.05 N$ and $0.0125 m^{2}$ . The maximum error in pressure is (SI unit)

1

4 \pm 0.0625

2

4 \pm 0.05

3

4 \pm 0.125

4

4 \pm 0.02

Explanation:

$P = \frac{F}{A} \Rightarrow \frac{Δ P}{P} = \frac{Δ F}{F} + \frac{Δ A}{A} \Rightarrow Δ P = P (\frac{Δ F}{F} + \frac{Δ A}{A})$

Units and Measurements

269203 The length and breadth of a rectangular object are $25.2 cm$ and $16.8 cm$ respectively and have been measured to an accuracy of $0.1 cm$ . Relative error and percentage error in the area of the object are

1

0.01 & 1 %

2

0.02 & 2 %

3

0.03 & 3 %

4

0.04 & 4 %

SIGNIFICANT FIGURES \& ROUNDING OFF

Explanation:

$A = l \times b; \frac{Δ A}{A} = \frac{Δ l}{l} + \frac{Δ b}{b}$
$\frac{Δ A}{A} \times 100 = (\frac{Δ l}{l} + \frac{Δ b}{b}) \times 100$

Units and Measurements

269205 The length, breadth and thickness of a rectangular lamina are $1.024 m, 0.56 m$ , and $0.0031 m$ . The volume is

1

1.8 \times 10^{- 3}

2

1.80 \times 10^{3}

3

0.180 \times 10^{4}

4 0.00177

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