A clock pendulum made of invar has a period of 0.5 sec at 20°C. If the clock is used in a climate where average temperature is 3 0 ∘ C , approximately how much fast or slow will the clock run in 1 0 6 sec . [ α invar = 1 × 1 0 − 6 / ∘ C ]

T p Δ T p ≈ 2 1 α Δ θ Time lost is 1 0 6 × 2 1 × 1 0 − 6 × 10 = 5 s The longer pendulum makes the clock slow.

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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoThermal ExpansionMedium2 minQB

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A clock pendulum made of invar has a period of 0.5 sec at 20°C. If the clock is used in a climate where average temperature is $3 0^{\circ} C$ , approximately how much fast or slow will the clock run in $1 0^{6} sec . [α_{invar} = 1 \times 1 0^{- 6} /^{\circ} C]$

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Answer:

Solution:

$\frac{Δ T _{p}}{T _{p}} \approx \frac{1}{2} α Δ θ$
Time lost is
$1 0^{6} \times \frac{1}{2} \times 1 0^{- 6} \times 10 = 5 s$
The longer pendulum makes the clock slow.

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Thermal Expansion

⏱ 2mℹ️ Source: QB

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