A block of wood is floating in the water at 0 ° C . The temperature of the water is slowly raised from 0 ° C to 10 ° C . How will the percentage of the volume of the block above water level change with a rise in temperature?

Due to the anomalous property of water, when its temperature increases from 0 ° C to 4 ° C , its density increases and that of the wood decreases. Hence, the upward thrust (buoyant force) will increase, so its volume of wood above the water increases. After the temperature 4 ° C , the density of the water decreases, and that of the block also decreases. The decrease in density of the wooden block through this temperature change is negligible, since thermal expansion coefficient of wood is much less than that of water. Hence, now the upward thrust (buoyant force) will decrease, so the percentage volume inside the water increases and above water decreases.

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At what temperature the Fahrenheit and Kelvin scales of temperature gives the same reading?

Important Questions on Thermometry, Thermal Expansion and Kinetic Theory of Gases

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JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>INTRODUCTORY EXERCISE 20.1>Q 3

At what temperature the Fahrenheit and Celsius scales of temperature give the same reading?

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JEE Advanced

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Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>INTRODUCTORY EXERCISE 20.1>Q 4

A pendulum clock of time period

2 s

gives the correct time at

30 ° C

. The pendulum is made of iron. How many seconds will it lose or gain per day when the temperature falls to

0 ° C

α_{F e} = 1.2 \times 10^{- 5} ° C^{- 1}

EASY

JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>INTRODUCTORY EXERCISE 20.1>Q 5

A block of wood is floating in the water at

0 ° C

. The temperature of the water is slowly raised from

0 ° C

10 ° C

. How will the percentage of the volume of the block above water level change with a rise in temperature?

MEDIUM

JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>INTRODUCTORY EXERCISE 20.2>Q 1

A piece of metal floats on mercury. The coefficient of volume expansion of metal and mercury are

γ_{1}

and

γ_{2}

respectively. If the temperature of both mercury and metal are increased by an amount

Δ T

, by what factor does the fraction of the volume of the metal submerged in mercury changes?

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JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>INTRODUCTORY EXERCISE 20.2>Q 2

A brass disc fits snugly in a hole in a steel plate. Should you heat or cool the system to loosen the disc from the hole? Given that

α_{B} > α_{Fe}

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JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>INTRODUCTORY EXERCISE 20.2>Q 3

An iron ball has a diameter of $6 cm$ and is $0.010 mm$ too large to pass through a hole in a brass plate when the ball and plate are at a temperature of $30 ° C$ . At what temperature, the same for ball and plate, will the ball just pass through the hole?

$α_{steel} = 1.2 \times 10^{- 5} {(° C)}^{- 1}$
$α_{brass} = 2.0 \times 10^{- 5} {(° C)}^{- 1}$

EASY

JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>INTRODUCTORY EXERCISE 20.2>Q 4

(a)

An aluminium measuring rod which is correct at

5 ° C

, measures a certain distance as

88.42 cm

35 ° C

. Determine the error in measuring the distance due to the expansion of the rod.

α_{aluminium} = 2.4 \times 10^{- 5} ° C^{- 1}

(b) If this aluminium rod measures a length of steel as

88.42 cm

35 ° C

, what is the correct length of the steel at

35 ° C

EASY

JEE Advanced

IMPORTANT

Understanding Physics JEE Main & Advanced WAVES AND THERMODYNAMICS>Chapter 4 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>INTRODUCTORY EXERCISE 20.2>Q 5

A steel tape is calibrated at

20 ° C

. On a cold day when the temperature is

- 15 ° C

, what will be the percentage error in the tape?

(α_{s t e e l} = 1.2 \times 10^{- 5}^{0} C^{- 1})

At what temperature the Fahrenheit and Kelvin scales of temperature gives the same reading?

Important Questions on Thermometry, Thermal Expansion and Kinetic Theory of Gases

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