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Standard IX

Mathematics

Area of a Square

A scale α =...

Question

A scale $(α = 10^{- 3 / 0} C)$ gives correct reading at $0^{0} C$ . It is used at a different temperature $15^{0} C$ . The scale is used to measure length of 1m. If the value of the difference in the measured length and the actual length is 3x mm then x is

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Solution

The correct option is B 5
According to Linear Expansion ,
$Δ L = L α Δ t$
$Δ L = 1 \times 10^{- 3} \times 15$
$Δ L = 15 m m$
$3 x = 15 m m$
$x = 5 m m$

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Similar questions

Q. (A): A meter scale measures correct lengths at 0C. Using this scale, the length of an object is measured as 15 m at 40C. Then the correct length of that object is 15.012 m

(α = 20 \times 10^{- 6} /^{\circ} C)

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(B): True length

=

scale reading

Q. A brass scale gives correct length at

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and

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Q. A brass scale correctly calibrated at

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is employed to measure a length at a temperature of

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A broken scale is used to measure the length of a stick, and the reading is directly noted down by looking at the scale from a position directly above it. Which of the following is correct?

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A scale (α=10−3/0C) gives correct reading at 00C. It is used at a different temperature 150C. The scale is used to measure length of 1m. If the value of the difference in the measured length and the actual length is 3x mm then x is

The correct option is B 5According to Linear Expansion ,ΔL=LαΔtΔL=1×10−3×15ΔL=15mm3x=15mmx=5mm

A scale $(α = 10^{- 3 / 0} C)$ gives correct reading at $0^{0} C$ . It is used at a different temperature $15^{0} C$ . The scale is used to measure length of 1m. If the value of the difference in the measured length and the actual length is 3x mm then x is

The correct option is B 5
According to Linear Expansion ,
$Δ L = L α Δ t$
$Δ L = 1 \times 10^{- 3} \times 15$
$Δ L = 15 m m$
$3 x = 15 m m$
$x = 5 m m$