Two thermometers are constructed in the same way except that...

Two thermometers are constructed in the same way except that one has a spherical bulb and the other a cylindrical bulb; which one will respond quickly to temperature changes
(a) spherical bulb thermometer
(b) cylindrical bulb thermometer
(c) both equally
(d) either of any option

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Key Concepts

Thermometer Response Time

This is the measure of how quickly a thermometer reaches thermal equilibrium with its environment. It is influenced by factors such as thermal mass and surface area, with designs that enhance heat transfer (having a favorable surface area to mass ratio) resulting in shorter response times.

Newton’s Law of Cooling

This principle states that the rate of heat transfer from an object is proportional to the difference in temperature between the object and its surroundings. It underpins the understanding that a design factor—like the surface area to volume ratio—directly affects how swiftly a thermometer can respond to changes in temperature.

Surface Area to Volume Ratio

This ratio determines the effectiveness of heat exchange between an object and its surroundings. A higher surface area relative to volume allows for more rapid transfer of heat, which can result in a faster equilibration of the thermometer with its environment.

Thermal Mass

This concept refers to the amount of material an object contains and its capacity to store heat. In thermometers, a lower thermal mass generally means that less energy is required to change the temperature of the bulb, which leads to quicker responses to temperature variations.

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