2724

Physics Waves And Oscillations Level: High School

Sound Level Intensity

A person standing a certain distance from an airplane with four equally noisy jet engine is feeling a sound level intensity bordering on pain, 120 dB . what sound level intensity (in dB) would this person experience if the captain shut down three engines ? Do not enter units .

a) If the amplitude of a sound wave is doubled , by what factor will the intensity increase ?

b) By how many dB will the intensity level increase ?




2723

Physics Waves And Oscillations Level: High School

Speed of Sound

A fishing boat is drifting just above a school of tuna on a foggy day . Without warming , an engine backfire occurs on another boat 1.02 km away , as seen in the figure at “click here” .

a) How much time elapses between the instant when the backfire is heard by the fisherman ?




2722

Physics Electromagnetic Induction Level: High School

One method of measuring the magnetic field strength uses a closely-wound coil of wire N turns and enclosing an area A . This coil is initially placed so that the flux ¥õ through the area is a maximum (see figure at ¡°click here¡±) .Then in a small time interval . Delta t is rotated ¨ù of a turn so that it is parallel to the magnetic field , and the flux through its area reduces to zero .

a) Two leads from either end of the coil are connected to a machine that measures the amount of charge Q (Q = I delta f) if the total resistance of the coil and the charge measuring device is R , derive an equation for the charge Q in terms of N,A,R and the negative flux density B .

b) A closely wound coil containing 200 turns is 45 cm in radius and has a resistance of 60.0 ohm . It is placed in a magnetic field . and connected to a charge-measuring instrument . The coil is initially perpendicular with the magnetic field , and is quickly rotated by ¨ù turn so that it becomes aligned with the field ,and a charge of 45.7 micro C is measured . What is the magnetic flux density of the field ?




2721

Physics Magnetism,Magnetic Effects Of Current Level: High School

Magnetic Flux

A 0.50 m length of wire has a current of 0.35 A passing through it .

a) What is the magnitude flux density at a perpendicular distance of 1.2 cm from the wire ?

b) If the wire is bent into a circle , what will be the magnetic flux density at the centre of this circle ?

c) The same piece of wire is curled into a solenoid with 210 turns , and this solenoid is 3.0 cm long . What is the magnetic flux density at the centre of the solenoid ?




2720

Physics Electrostatics Level: High School

Capacitance

John wants to replace the arrangement of capacitors shown in the figure at “click here” with a single capacitor such between points a and b the capacitance stays the same . What capacitance should this capacitor have ?

C1 = 5 micro F , C2 = C3 = 4 micro F , C4 = 6 micro F .




2719

Physics Electrostatics Level: High School

Capacitance

(i) The plates of a parallel-plate capacitor are in vacuum , 5.00 mm apart , and are circular in shape with a radius of 17.0 cm . The plates have charges of +- 37.4 micro C . what is the voltage across the plates and capacitance of the capacitor ?

(ii) In the above mentioned capacitor , a dielectric material, strontium titanate , is placed between the plates such that the voltage reduces to 750 V . What is the relative permittivity of the dielectric ?




2718

Physics Electrostatics Level: High School

Gold Leaf Electroscope

(i) A force F exists between two charges , Q1 and Q2 that are a distance r apart . If charge Q1 is halved , and the distance r is increased by a factor of 4 , how much the charge Q2 be changed so that the force remains the same ?

(ii) A conducting rod is earthed while a negatively charged object is held next to one end (without touching it ) such that the rod becomes charged . This charged rod is then brought into contact with the gold-leaf electroscope . The conducting rod is then removed . As a result of this , will the gold leaves become further separated ,or become closer together. Justify your answer .




2717

Physics Ray Optics Level: High School

Convex Lens

An object of 4 cm is placed 15 cm from a converging lens of focal length 10 cm as shown in Figure 3 at “click here” .Determine the image properties (where it is formed , height , real/virtual , magnified/diminished inverted/erect) using a ray diagram , as well as the lens formula .

A second converging lens of focal length 15 cm is placed 36 cm behind the first lens as shown in figure 4 at “click here” . Describe the image formed in by this compound lens system . Again use a ray diagram as well as the lens formula .




2716

Physics Ray Optics Level: High School

Canchy’s Formula

White light is incident at an angle of 30 degree on a triangular prism with apex angle 55 degree . For red light (lamda = 680 nm) the refractive index is 1.526 and for green light (lamda = 533 cm) the refractive index is 1.533 . What is the angle that the visible spectrum (red to violet) is spread over as it emerges from the prism ? (Hint : use Cauchy’s equation to determine the refractive index for violet light , lamda = 410 nm)



2715

Physics Ray Optics Level: High School

Total Internal Reflection in a Prism

A periscope is made using the prism shown at “click here” to reflect the light rays through at 90 degree angle .

What is the minimum possible refractive index the prism material must have in order for it to function as shown ? (Assume that the prism is in the air )

Discuss what will happen to the light ray if the refractive index of the prism is less than this value , and also what happens when the refractive index is increased ?



2714

Physics Ray Optics Level: High School

Refraction

A beam of light with wavelength of 470 nm in vacuum is incident on a liquid of refractive index 1.37 at a glancing angle of 32 degree (see figure at “click here”)

(i) What is the angle of refraction of the light ?

(ii) What is the wavelength of the light in the liquid ? (Hint : the frequency of light does not change in different media , however the velocity of the wave does , and for a wave the velocity and frequency are related as f lamda = v)




2713

Physics Heat & Thermodynamics Level: High School

Conduction

Calculate the rate of heat transfer per unit are although a wall constructed of 12 mm fibro , 10.0 cm concrete and 15 mm of wood paneling if one side is at 17 degree C and the other is at 38 degree C .

(K concrete = 0.96 , K fibro = 0.055 , K wood = 0.37 Wm-1K-1)




2712

Physics Heat & Thermodynamics Level: High School

Thermal Expansion

In an winter (avg . temp 15 degree C) , Bob’s pendulum clock keeps time perfectly , where the pendulum has a period of 2 s , The pendulum shaft is a thin brass rod , which has a thermal expansion co-efficient of 2.0 x 10-5 K-1 , In one day , how much time will be lost /gained in the summer when the average temperature is 25 degree C ?

The period of oscillation (T) for a pendulum of length l is given be ,

T = 2pi (sqrt g/g)

Where g is the acceleration due to gravity (g = 9.81 m/s2)




2711

Physics Properties Of Matter Level: High School

Archimedes’s Principle

Jason has bought a ring , and wishes to confirm that it is made of silver . The ring weighs 70.0 g and Jason heats it up to 87.5 degree C . He then places it in a glass that contains 255 mL of water at room temperature (23 degree C) . The full glass weighs 330 g . The final temperature after thermal equilibrium is reaches is 24.0 degree C . What is the ring made out of ? ( C silver = 234 JkgK-1 , C nickel = 444 JkgK-1, C paladin = 244 JkgK – 1 ,density of water = 100 kg/m3,10Cm^3 = 1 L )



2710

Physics Ray Optics Level: High School

Young’s Double Slit Experiment

Katrinal is using Young’s two-slit experiment to determine the separation and width of two slits . The wavelength of the light that is passed through the two slits is 590 nm . On the screen the separation of the bright fringes is 2.82 mm on a screen that is 2.20 m away . Katrina then blocks one of the slits and measures the distance from the central bright fringe to the first minima as 6.5 cm . What is the slit separation and the width of the slits ? (Hint : for small angles , sin theta = tan theta)

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