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A brass scale...

Question

A brass scale correctly calibrated at $15^{\circ} C$ is employed to measure a length at a temperature of $35^{\circ}$ . If the scale measures a reading of $75 c m (α_{b r a s s} = 2 \times 10^{- 5} /^{\circ} C)$

A

74 c m

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B

76 c m

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C

78 c m

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D

75.03 c m

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Solution

The correct option is B $74 c m$
$Given :$ $Δ t = 10 - 30 = - 20^{o} C, P_{1} = 75 c m$

$Solution :$
$P_{2} = P_{1} [1 + (γ H_{g} - α) Δ t]$ = $75 [1 + (175 - 20) \times 10^{- 6} \times (- 20)] \approx 74$

$Hence A is the correct option$

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