You measure the length of a brass rod on a hot July afternoon and a cool January evening, using the same aluminium scale. To your surprise you find that the rod length is measured to be smaller on the summer day! How?

Brass shrinks on heating

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Aluminium expands more on heating than brass

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Aluminium expands lesser than brass on heating

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None of these

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Solution

The correct option is B
Aluminium expands more on heating than brass

The coefficient of linear expansion of aluminium is more than that of brass, hence the scale has expanded more than the rod. Thus, giving an apparent reading which is lesser than the true value.

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Similar questions

Q. You measure the length of a brass rod on a hot July afternoon and on a cool January evening, using the same aluminium scale. To your surprise, you find that the rod length is measured to be smaller on the summer day! How?

Q. You measure the length of a brass rod on a hot summer day and a cold winter night using the same aluminium scale. To your surprise, you find that the length of a brass rod is found to be smaller on a hot summer day than on the winter night. Assuming that the brass rod and the aluminium scale have the same length during winter, which of the following could explain the above phenomena?

Q. The length of a brass rod is found to be less on a hot summer day than on a cold winter day as measured by the same aluminium scale. Can we conclude that brass shrinks on heating?

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A steel tape 1m long is correctly calibrated for a temperature of 27.0 °C. The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45.0 °C. What is the actual length of the steel rod on that day? What is the length of the same steel rod on a day when the temperature is 27.0 °C? Coefficient of linear expansion of steel = 1.20 × 10^–5 K^–1.

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You measure the length of a brass rod on a hot July afternoon and a cool January evening, using the same aluminium scale. To your surprise you find that the rod length is measured to be smaller on the summer day! How?

The correct option is B Aluminium expands more on heating than brass The coefficient of linear expansion of aluminium is more than that of brass, hence the scale has expanded more than the rod. Thus, giving an apparent reading which is lesser than the true value.

The correct option is B
Aluminium expands more on heating than brass

The coefficient of linear expansion of aluminium is more than that of brass, hence the scale has expanded more than the rod. Thus, giving an apparent reading which is lesser than the true value.