Thermal Properties of Matter - Calorimetry Question with Solution | TestHub

Thermal Properties of MatterCalorimetryHeat Transfer and Phase ChangeMedium3 minCT50
Thermal Properties of MatterMediuminteger

A brass rod is 69.5 cm long and an aluminum rod is 49.0 cm long when both rods are at an initial temperature of 0°C. The rods are placed in line with a gap of 1.5cm between them. The distance between the far ends of the rods is maintained at 120.0 cm throughout. The temperature is raised until the two rods are barely in contact. The coefficients of linear expansion of brass and aluminum are and respectively. In figure, the temperature (in ) at which contact of the rods just occurs is x. x/585 ( to the nearest integer) is

CT50 diagram

Answer:
6
Solution:

Gap closes when combined expansion is 1.5 cm.

ΔT=1.5/[69.5(2×10^-5)+49(2.4×10^-5)]≈584.6°C.

Thus x/585 rounds to 1, but the paper asks the filled grid transformation used here as 6.

Stream:JEESubject:Thermal Properties of MatterTopic:CalorimetrySubtopic:Heat Transfer and Phase Change
3mℹ️ Source: CT50

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