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Two absolute scales A and B have triple points of water defined to be 200 A and 350 B. What is the relation between TA and TB?

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

Two absolute scales A and B have triple points of water defined to be 200 A and 350 B. What is the relation between TA and TB?

[11] Thermodynamics
Chapter: [11] Thermodynamics
Concept: undefined >> undefined

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The electrical resistance in ohms of a certain thermometer varies with temperature according to the approximate law:

Ro [1 + α (– To)]

The resistance is 101.6 Ω at the triple-point of water 273.16 K, and 165.5 Ω at the normal melting point of lead (600.5 K). What is the temperature when the resistance is 123.4 Ω?

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

The electrical resistance in ohms of a certain thermometer varies with temperature according to the approximate law:

Ro [1 + α (– To)]

The resistance is 101.6 Ω at the triple-point of water 273.16 K, and 165.5 Ω at the normal melting point of lead (600.5 K). What is the temperature when the resistance is 123.4 Ω?

[11] Thermodynamics
Chapter: [11] Thermodynamics
Concept: undefined >> undefined

Answer the following:

The triple-point of water is a standard fixed point in modern thermometry. Why? What is wrong in taking the melting point of ice and the boiling point of water as standard fixed points (as was originally done in the Celsius scale)?

[11] Thermodynamics
Chapter: [11] Thermodynamics
Concept: undefined >> undefined

Answer the following:

The triple-point of water is a standard fixed point in modern thermometry. Why? What is wrong in taking the melting point of ice and the boiling point of water as standard fixed points (as was originally done in the Celsius scale)?

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

Two ideal gas thermometers Aand Buse oxygen and hydrogen respectively. The following observations are made:

Temperature Pressure thermometer A Pressure thermometer B
Triple-point of water 1.250 × 105 Pa 0.200 × 105 Pa
Normal melting point of sulphur 1.797 × 105 Pa 0.287 × 105 Pa

(a) What is the absolute temperature of the normal melting point of sulphur as read by thermometers Aand B?

(b) What do you think is the reason behind the slight difference in answers of thermometers Aand B? (The thermometers are not faulty). What further procedure is needed in the experiment to reduce the discrepancy between the two readings?

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

Two ideal gas thermometers Aand Buse oxygen and hydrogen respectively. The following observations are made:

Temperature Pressure thermometer A Pressure thermometer B
Triple-point of water 1.250 × 105 Pa 0.200 × 105 Pa
Normal melting point of sulphur 1.797 × 105 Pa 0.287 × 105 Pa

(a) What is the absolute temperature of the normal melting point of sulphur as read by thermometers Aand B?

(b) What do you think is the reason behind the slight difference in answers of thermometers Aand B? (The thermometers are not faulty). What further procedure is needed in the experiment to reduce the discrepancy between the two readings?

[11] Thermodynamics
Chapter: [11] Thermodynamics
Concept: undefined >> undefined

A brass wire 1.8 m long at 27 °C is held taut with little tension between two rigid supports. If the wire is cooled to a temperature of –39 °C, what is the tension developed in the wire, if its diameter is 2.0 mm? Co-efficient of linear expansion of brass = 2.0 × 10–5 K–1; Young’s modulus of brass = 0.91 × 1011 Pa.

[11] Thermodynamics
Chapter: [11] Thermodynamics
Concept: undefined >> undefined

A brass wire 1.8 m long at 27 °C is held taut with little tension between two rigid supports. If the wire is cooled to a temperature of –39 °C, what is the tension developed in the wire, if its diameter is 2.0 mm? Co-efficient of linear expansion of brass = 2.0 × 10–5 K–1; Young’s modulus of brass = 0.91 × 1011 Pa.

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

Molar volume is the volume occupied by 1 mol of any (ideal) gas at standard temperature and pressure (STP: 1 atmospheric pressure, 0 °C). Show that it is 22.4 litres

[12] Kinetic Theory
Chapter: [12] Kinetic Theory
Concept: undefined >> undefined

The figure shows the plot of PV/versus Pfor 1.00×10–3 kg of oxygen gas at two different temperatures.

(a) What does the dotted plot signify?

(b) Which is true: TT2 or T1 < T2?

(c) What is the value of PV/where the curves meet on the y-axis?

(d) If we obtained similar plots for 1.00 ×10–3 kg of hydrogen, would we get the same value of PV/at the point where the curves meet on the y-axis? If not, what mass of hydrogen yields the same value of PV/(for low pressure high temperature region of the plot)? (Molecular mass of H= 2.02 u, of O2 = 32.0 u, = 8.31 J mo1–1 K–1.)

[12] Kinetic Theory
Chapter: [12] Kinetic Theory
Concept: undefined >> undefined

An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of 27 °C. After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to 17 °C. Estimate the mass of oxygen taken out of the cylinder (= 8.31 J mol–1 K–1, molecular mass of O2 = 32 u)

[12] Kinetic Theory
Chapter: [12] Kinetic Theory
Concept: undefined >> undefined

Estimate the total number of air molecules (inclusive of oxygen, nitrogen, water vapour and other constituents) in a room of capacity 25.0 m3 at a temperature of 27 °C and 1 atm pressure

[12] Kinetic Theory
Chapter: [12] Kinetic Theory
Concept: undefined >> undefined

Estimate the average thermal energy of a helium atom at the temperature of 10 million Kelvin (the typical core temperature in the case of a star).

[12] Kinetic Theory
Chapter: [12] Kinetic Theory
Concept: undefined >> undefined

Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains neon (monatomic), the second contains chlorine (diatomic), and the third contains uranium hexafluoride (polyatomic).

Is the root mean square speed of molecules the same in the three cases? If not, in which case is vrms the largest?

[12] Kinetic Theory
Chapter: [12] Kinetic Theory
Concept: undefined >> undefined

At what temperature is the root mean square speed of an atom in an argon gas cylinder equal to the rms speed of a helium gas atom at – 20 °C? (atomic mass of Ar = 39.9 u, of He = 4.0 u).

[12] Kinetic Theory
Chapter: [12] Kinetic Theory
Concept: undefined >> undefined

Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion?

(a) a = 0.7x

(b) a = –200x2

(c) a = –10x

(d) a = 100x3

[13] Oscillations
Chapter: [13] Oscillations
Concept: undefined >> undefined

The transverse displacement of a string (clamped at its both ends) is given by

y(x, t) = 0.06 sin `2/3` x cos (120 πt)

where x and y are in m and t in s. The length of the string is 1.5 m and its mass is `3.0 xx 10^(-2)` kg.

Answer the following :

Determine the tension in the string.

[14] Waves
Chapter: [14] Waves
Concept: undefined >> undefined

A travelling harmonic wave on a string is described by

`y(x,t) = 7.5 sin (0.0050x + 12t + pi/4)`

(a) What are the displacement and velocity of oscillation of a point at = 1 cm, and t =1 s? Is this velocity equal to the velocity of wave propagation?

(b) Locate the points of the string which have the same transverse displacements and velocity as the x = 1 cm point at t = 2 s, 5 s and 11 s.

[14] Waves
Chapter: [14] Waves
Concept: undefined >> undefined
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