3102

Physics Ray Optics Level: High School

a) A hunter is aiming to spear a fish whose image cab be seen in the clear water . Should he aim above or below the image of the fish ? Explain with the aid of a sketch .

b) Show that a ray of light , passing through a plate of optical glass with parallel sides ,of thickness s , suffers a displacement x perpendicular to the line of the original path given by : x = (s / cos r) x sin (i-r) Explain why there would be no dispersive effect , if a beam of white light were passed through the glass block .




3101

Physics Ray Optics Level: High School

As the train moves , the top of the pantograph moves along the cable , generating a transverse wave which carries energy away from the pantograph . Calculate the minimum tension needed in the cable in order to avoid energy from the wave damaging the pantograph , if the maximum speed of the train is to be 245 km h^-1 . The steel cable has a diameter of 1 cm and density as given above .



3100

Physics Ray Optics Level: High School

The motion of a train along the tracks generates sound waves in the steel rails. This in turn sets up sound waves in the air. Calculate and compare the speed of sound in air and the rails . [Assume Young’s modulus for steel = 2.0 x 10^11 Nm^2 , density of steel = 7800 kg m^-3, density of air at standard temperature and the pressure = 1.29 kg m^-3, and standard atmospheric pressure = 1.013 x 10^5 Nm^-2]



3099

Physics Heat & Thermodynamics Level: High School

Thermal Expansion

A steel measuring tape was designed to read correctly at 20 degree C . A parent uses the tape to measure the height of a 1.2 m tall child . If the measurement is made on a day when the temperature is 28 degreeC , is the tape reading longer or shorter than the actual height , and by how much ?



3098

Physics Heat & Thermodynamics Level: High School

Thermal Expansion

A copper rod and steel rod are heated . At 0 degree C the copper rod has a length o Lc, the steel one has a length Ls . When the rods are being heated or cooled , a difference of 3.50 cm is maintained between their lengths . Determine the values of Lc and Ls .



3097

Physics Heat & Thermodynamics Level: High School

Average Kinetic Energy of a molecule

A cylinder contains a mixture of helium and argon gas in equilibrium at a temperature of 151 degree C .

a) What is the average kinetic energy of each type of molecule ?

b) What is the rms speed of each type of molecule ?




3096

Physics Heat & Thermodynamics Level: High School

Ideal Gas Equation

a) An ideal gas occupies a volume of 2.8 cm^3 at 20 degree C and atmospheric pressure . Determine the number of molecules of gas in the container .

b) If the pressure is reduced to 2.6 x 10^-11 Pa ( an extremely good vacuum) while the temperature remains constant , how many moles of gas remain in the container ?




3095

Physics Heat & Thermodynamics Level: High School

Thermal Expansion

A hollow aluminum cylinder 23.0 cm deep has an internal capacity of 2.00 L at 20.0 degree C . It is completely filled with turpentine and then warmed to 74.0 degree C .

a) How much turpentine overflows ?

b) If it is then cooled back to 20.0 degree C , how far below the surface of the cylinder’s rim is the turpentine’s surface ?




3094

Physics Heat & Thermodynamics Level: High School

Thermal Expansion

On a day when the temperature is 20.5 degree C , a concrete walk is poured in such a way that its ends are unable to move .

a) What is the stress in the cement when its temperature is 49.5 degree C ?




3093

Physics Heat & Thermodynamics Level: High School

Thermal Expansion

The average coefficient of volume expansion for carbon tetrachloride is 5.81 x 10^-4 (degree C)^-1 . If a 49.5 gal steel container is filled completely with carbon tetrachloride when the temperature is 10.0 degree C , how much will spill over when the temperature rises to 30.0 degree C ?



3092

Physics Rotational Mechanics Level: High School

Pulley with rotational Inertia

The two blocks in the figure which is shown at “click here” are connected by a massless rope that passes over a pulley . The pulley is 12 cm in diameter and has a mass of 2.0 kg . As the pulley turns, friction at the axle exerts a torque of magnitude 0.50 Nm . If the blocks are released from rest , how long does it take the 4.0 kg block to reach the floor ?



3091

Physics Rotational Mechanics Level: High School

Torque

The 200 g model rocket shown in the figure generates 4.0 N of thrust .It spins in a horizontal circle at the end of a 100 g rigid rod . What is its angular acceleration ?



3090

Physics Electrostatics Level: High School

Coulomb’s Law

Two tiny conducting spheres are identical and carry charges of -20.0 micro C and +52.0 micro C . They are separated by a distance of 2.00 cm . The spheres are brought into contact and then separated to a distance of 2.00 cm . Determine the magnitude of the force that each sphere now experience .



3089

Physics Electrostatics Level: High School

Coulomb’s Law

A point charge of -0.75 micro C is fixed to one corner of a square .An identical charge is fixed to the originally opposite corner . A point charge q is fixed to each of the remaining corners . The net force on either of the charges q is zero . Find the magnitude and algebraic sign of q . micro C .



3088

Physics Electrostatics Level: High School

Coulomb’s Law

The force of repulsion that two like charges exert on each other is 3.3 N . What will the force be if the distance between the charges is increased to 4 times its original value ?

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