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Physics
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Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm.

[8] Mechanical Properties of Solids
Chapter: [8] Mechanical Properties of Solids
Concept: undefined >> undefined

How much should the pressure on a litre of water be changed to compress it by 0.10%?

[8] Mechanical Properties of Solids
Chapter: [8] Mechanical Properties of Solids
Concept: undefined >> undefined

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The Marina trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of the water. The water pressure at the bottom of the trench is about 1.1 × 108 Pa. A steel ball of initial volume 0.32 m3 is dropped into the ocean and falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom?

[8] Mechanical Properties of Solids
Chapter: [8] Mechanical Properties of Solids
Concept: undefined >> undefined

Fill in the blanks using the word(s) from the list appended with each statement

Viscosity of gases. .. with temperature, whereas viscosity of liquids . . . with temperature (increases / decreases)

[9] Mechanical Properties of Fluids
Chapter: [9] Mechanical Properties of Fluids
Concept: undefined >> undefined

Fill in the blanks using the word(s) from the list appended with each statement

For solids with elastic modulus of rigidity, the shearing force is proportional to . . . , while for fluids it is proportional to . .. (shear strain / rate of shear strain)

[9] Mechanical Properties of Fluids
Chapter: [9] Mechanical Properties of Fluids
Concept: undefined >> undefined

Explain why The size of the needle of a syringe controls flow rate better than the thumb pressure exerted by a doctor while administering an injection

[9] Mechanical Properties of Fluids
Chapter: [9] Mechanical Properties of Fluids
Concept: undefined >> undefined

(a) What is the largest average velocity of blood flow in an artery of radius 2 × 10–3 m if the flow must remain laminar? (b) What is the corresponding flow rate? (Take viscosity of blood to be 2.084 × 10–3 Pa s).

[9] Mechanical Properties of Fluids
Chapter: [9] Mechanical Properties of Fluids
Concept: undefined >> undefined

In Millikan’s oil drop experiment, what is the terminal speed of an uncharged drop of radius 2.0 × 10–5 m and density 1.2 × 103 kg m–3? Take the viscosity of air at the temperature of the experiment to be 1.8 × 10–5 Pa s. How much is the viscous force on the drop at that speed? Neglect buoyancy of the drop due to air.

[9] Mechanical Properties of Fluids
Chapter: [9] Mechanical Properties of Fluids
Concept: undefined >> undefined

Explain why a brass tumbler feels much colder than a wooden tray on a chilly day

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

A metre long narrow bore held horizontally (and closed at one end) contains a 76 cm long mercury thread, which traps a 15 cm column of air. What happens if the tube is held vertically with the open end at the bottom?

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

Given below are densities of some solids and liquids. Give rough estimates of the size of their atoms:

Substance Atomic Mass (u) Density (10Kg m-3)
Carbon (diamond) 12.01 2.22
Gold 197.00 19.32
Nitrogen (liquid) 14.01 1.00
Lithium 6.94 0.53
Fluorine (liquid) 19.00 1.14

[Hint: Assume the atoms to be ‘tightly packed’ in a solid or liquid phase, and use the known value of Avogadro’s number. You should, however, not take the actual numbers you obtain for various atomic sizes too literally. Because of the crudeness of the tight packing approximation, the results only indicate that atomic sizes are in the range of a few Å].

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

A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.6 s. What is the weight of the body?

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

A narrow sound pulse (for example, a short pip by a whistle) is sent across a medium. (a) Does the pulse have a definite (i) frequency, (ii) wavelength, (iii) speed of propagation? (b) If the pulse rate is 1 after every 20 s, (that is the whistle is blown for a split of second after every 20 s), is the frequency of the note produced by the whistle equal to 1/20 or 0.05 Hz

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

The two ends of a spring are displaced along the length of the spring. All displacement have equal magnitudes. In which case or cases the tension or compression in the spring will have a maximum magnitude ?

(a) the right end is displaced towards right and the left end towards left
(b) both ends are displaced towards right
(c) both ends are displaced towards left
(d) the right end is displaced towards left and the left end towards right.

[5] Work, Energy and Power
Chapter: [5] Work, Energy and Power
Concept: undefined >> undefined

Two equal masses are attached to the two ends of a spring of spring constant k. The masses are pulled out symmetrically to stretch the spring by a length x over its natural length. The work done by the spring on each mass is 

[5] Work, Energy and Power
Chapter: [5] Work, Energy and Power
Concept: undefined >> undefined

One end of a light spring of spring constant k is fixed to a wall and the other end is tied to a block placed on a smooth horizontal surface. In a displacement, the work done by the spring is \[\frac{1}{2}k x^2\] . The possible cases are

(a) at spring was initially compressed by a distance x and was finally in its natural length
(b) it was initially stretched by a distance x and and finally was in its natural length
(c) it was initially in its natural length and finally in a compressed position
(d) it was initially in its natural length and finally in a stretched position.

 
[5] Work, Energy and Power
Chapter: [5] Work, Energy and Power
Concept: undefined >> undefined

If the sum of all the forces acting on a body is zero, is it necessarily in equilibrium? If the sum of all the forces on a particle is zero, is it necessarily in equilibrium?

[6] System of Particles and Rotational Motion
Chapter: [6] System of Particles and Rotational Motion
Concept: undefined >> undefined

Following figure shows a spring fixed at the bottom end of an incline of inclination 37°. A small block  of mass 2 kg starts slipping down the incline from a point 4⋅8 m away from the spring. The block compresses the spring by 20 cm, stops momentarily and then rebounds through a distance of 1 m up the incline. Find (a) the friction coefficient between the plane and the block and (b) the spring constant of the spring. Take g = 10 m/s2.

[5] Work, Energy and Power
Chapter: [5] Work, Energy and Power
Concept: undefined >> undefined

A block of mass m moving at a speed ν compresses a spring through a distance x before its speed is halved. Find the spring constant of the spring.

[5] Work, Energy and Power
Chapter: [5] Work, Energy and Power
Concept: undefined >> undefined

Consider the situation shown in the following figure. Initially the spring is unstretched when the system is released from rest. Assuming no friction in the pulley, find the maximum elongation of the spring.

[5] Work, Energy and Power
Chapter: [5] Work, Energy and Power
Concept: undefined >> undefined
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