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Answer the following questions based on the P–T phase diagram of CO2:

Describe qualitatively the changes in a given mass of solid CO2 at 10 atm pressure and temperature –65 °C as it is heated up to room temperature at constant pressure.

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

Answer the following questions based on the P–T phase diagram of CO2:

Describe qualitatively the changes in a given mass of solid CO2 at 10 atm pressure and temperature –65 °C as it is heated up to room temperature at constant pressure.

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

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Answer the following questions based on the P–T phase diagram of CO2:

CO2 is heated to a temperature 70 °C and compressed isothermally. What changes in its properties do you expect to observe?

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

A ‘thermacole’ icebox is a cheap and efficient method for storing small quantities of cooked food in summer in particular. A cubical icebox of side 30 cm has a thickness of 5.0 cm. If 4.0 kg of ice is put in the box, estimate the amount of ice remaining after 6 h. The outside temperature is 45 °C, and coefficient of thermal conductivity of thermacole is 0.01 J s–1 m–1 K–1. [Heat of fusion of water = 335 × 103 J kg–1]

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

A brass boiler has a base area of 0.15 m2 and thickness 1.0 cm. It boils water at the rate of 6.0 kg/min when placed on a gas stove. Estimate the temperature of the part of the flame in contact with the boiler. The thermal conductivity of brass = 109 J s –1 m–1 K–1; Heat of vaporisation of water = 2256 × 103 J kg–1.

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

Explain why a body with large reflectivity is a poor emitter

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

Explain why The climate of a harbour town is more temperate than that of a town in a desert at the same latitude.

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

A thermodynamic system is taken from an original state to an intermediate state by the linear process shown in Figure

Its volume is then reduced to the original value from E to F by an isobaric process. Calculate the total work done by the gas from D to E to F

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

A spring having with a spring constant 1200 N m–1 is mounted on a horizontal table as shown in Fig. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.

Determine (i) the frequency of oscillations, (ii) maximum acceleration of the mass, and (iii) the maximum speed of the mass.

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

let us take the position of mass when the spring is unstretched as x = 0, and the direction from left to right as the positive direction of the x-axis. Give as a function of time t for the oscillating mass if at the moment we start the stopwatch (= 0), the mass is

(a) at the mean position,

(b) at the maximum stretched position, and

(c) at the maximum compressed position.

In what way do these functions for SHM differ from each other, in frequency, in amplitude or the initial phase?

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

The acceleration due to gravity on the surface of moon is 1.7 ms–2. What is the time period of a simple pendulum on the surface of moon if its time period on the surface of earth is 3.5 s? (on the surface of earth is 9.8 ms–2)

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

Answer the following questions:

A time period of a particle in SHM depends on the force constant and mass of the particle: `T = 2pi sqrt(m/k)` A simple pendulum executes SHM approximately. Why then is the time 

 

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

Answer the following questions:

The motion of a simple pendulum is approximately simple harmonic for small angle oscillations. For larger angles of oscillation, a more involved analysis shows that is greater than `2pisqrt(1/g)`  Think of a qualitative argument to appreciate this result.

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

Answer the following questions:

A man with a wristwatch on his hand falls from the top of a tower. Does the watch give correct time during the free fall?

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

Answer the following questions:

What is the frequency of oscillation of a simple pendulum mounted in a cabin that is freely falling under gravity?

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

A simple pendulum of length and having a bob of mass is suspended in a car. The car is moving on a circular track of radius with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium position, what will be its time period?

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

The cylindrical piece of the cork of density of base area and height floats in a liquid of density `rho_1`. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period

`T = 2pi sqrt((hrho)/(rho_1g)` 

where ρ is the density of cork. (Ignore damping due to viscosity of the liquid).

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

A mass attached to a spring is free to oscillate, with angular velocity ω, in a horizontal plane without friction or damping. It is pulled to a distance x0 and pushed towards the centre with a velocity v0 at time = 0. Determine the amplitude of the resulting oscillations in terms of the parameters ω, x0 and v0. [Hint: Start with the equation acos (ωt) and note that the initial velocity is negative.]

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

Two sitar strings A and B playing the note ‘Ga’ are slightly out of tune and produce beats of frequency 6 Hz. The tension in the string A is slightly reduced and the beat frequency is found to reduce to 3 Hz. If the original frequency of A is 324 Hz, what is the frequency of B?

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

Explain why (or how) A violin note and sitar note may have the same frequency, yet we can distinguish between the two notes,

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