jc2 h1 common test - march

8/14/2019 JC2 H1 Common Test - March

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8866 Hl PHYSTCSDATA AND FORMULAE

Dataspeed of light in free space,elementary charge,the Planck constant,unified atomic mass constant,rest mass of electron,rest mass of proton,acceleration of free fall,

Formulaeuniformly accelerated motion,

work done on/by a gas,hydrostatic pressure,resistors in series,resistors in parallel,

3.00 x 108 m s 11.60 x 10 1e c6.63x1034Js1.66x1027kg9.11 x '10 31 kg1.67x102rkg9.81 m s 2

ceh

me

s

2ut+%a(u2 + 2as

11y = pAVp= NhR = R1 +R2+...1lR = 1lR1 + 1lR2 +


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1670 m s 1The diagram below shows the screen of a calibrated cathode ray oscilloscope. Thetime base has been set at 1 ms / division and the gain has been set at 1 V / division.Determine the frequency of the wave.

The least distance between two points of a progressive transverse wave whichhave a phase difference of I rad is 0.050 m. lf the frequency of the wave is500 Hz, what is the speed of the wave?A 75msr B 150ms1 C 250msr D

B 50 Hz 500 Hz D 1000 Hz

Section AAnswer all questions

0.5 Hz

A point source of sound emits energy equally in all directions at a constant rate anda detector placed 3.0 m from the source measures an intensity of 3.0 W m 2. Theamplitude of the source is then doubled. What intensity would the detector measureif it is now placed at a distance 5.0 m from the source?

3.6Wm2 D 43W m 2A 21Wm2 B 2.5Wm2 c4 A loudspeaker emits sound of frequency f. The sound waves are reflected from awall. The arrangement is as shown below.

Kspeaker WAII


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t lra2

When a microphone is moved along the line SW, minimum loudness of sound isdetected at points P, Q and R. There are no other minimum loudness positionsbetlveen these points. The separation of the minima is d.The speed of sound wave is

Which of the following diagrams best shows the diffraction of waves by an obstacle?AB

f+f+

A standing wave is set up on a stretched string PS as shown in the diagram.

The vibrations of the two points Q and R, shown on the string haveA different amplitude and are in anti-phase.B different amplitude and are in phase.C the same amplitude and are in anti-phase.D the same amplitude and are in phase.

BfcfdD2rdd

Directionof wavetravel

Directionof wavetravel

*ll+i#1.]+

D


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7 A wave entering a closedextent of the vibration is as

pipe causes the air particles inside to vibrate, andshown below. The speed of the wave is 320 m s 1.

the

6.00 mWhat is the frequency of the wave?A 133H2 B 40.0H2 C 53.3 Hz

as shown below to66.7 Hz

demonstrate two-slitscreen

A teacheri nte rfe ren ce

single slit

sets up the apparatuspattern on a screen.double slit

' t.

Which change to the apparatus will decrease the fringe spacing?A decreasing the distance pB decreasing the distance qC decreasing the distance rD changing the source of light to one with a longer wavelengthI A wire P with resistivity, p, and length, 1, has a resistance R. lf

and its length is increased by 5% what would be the changewire? (Assume the volume of the wire has not changed.)A - 100k B 5% C 5./. D

the wire is stretchedin resistance of the

'too/"


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10 The diagram shows a circuit consisting of a cell E and a variable resistor R.

lf the electromotive force of the cell is 10.0 V and the internal resistance, r, of thecell is 2.00 O calculate the maximum power that is delivered to R.12 5W 250W 50.0 w

An electrical kettle requires 0.10 kwh of energy to bring its contents to a boil.Express this energy in terms of joules.

A sOOW

A 0.028 J B 0.36 J 6x1o3J 3.6 x 105 J11

12 The diagram below shows connected wires which carry currents of various values.What is the value and direction of the current,l in shown in the diagram?

BD

Ac

'l A away from X1'l A away from X

1 A towards X'llAtowardsX

-li


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.13 An e.m.f. source E. of internal resistanceresistance R.Which of the following graphs representsresistor, varies with the potential difference

r, is connected to an external resistor of

how the current 1, through the externalY, across the resistor R?

14 The circuit below consists of 10 identical resistors of resistance R.

What is the effective resistance across X and Y?17n6 D 2R C 3R


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15 The circuit below consists of four identical resistors.

Which of the circuits below has an equivalent configuration of resistors as the abovecircuit? A B

16 The electrical power P, dissipated in a resistor R, when a current /, passes throughthe resistor is given by P = t'?R. How may R be expressed in base units?A kg-t m-2 s-2 42C kgm2s3A2

I'

B kg m2 s'2 A2D WA2

17 A track is inclined at an angle of 30' to the horizontal and the frictional forcebetween the track and the body is '100 N. What is the instantaneous power requiredwhen a body of mass 50 kg moves up the track at 20 m s 1?A 25KW B 49KW c 6.9 kw D gBKW


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18 A biker movinq horizontally takes off from a point 2.4 m above the ground. What isthe minimum speed at take-otf for the biker to be able to land 20 m away?

2.4 m

20m

19

A 8.33ms1 14.0 m s-lA force F acts on a 2 kg body for 5.04.0 m s l along the positive x-direction.

F/ N

19.8ms1s. The body moves with anF varies as shown below.

28.6ms1initial velocity of

:l34 I t t/"5

What is the maximumA 4.OJ B

kanetic energy gained by the body?16 J c 25J

20 A 2 kg mass is attached to a 5 kgthrough a smooth pulley.

mass by a light inextensiblesmooth

36Jstring which runs

pulley

lf the slope on which the 2 kg mass lies is frictionless, determine the acceleration ofthe 2 masses.

B 0 m s2 1.40 m s2 c 5.61 m s2 9.81 m s2


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Section BAnswer all the questions in this section

1 (a) (i) Define, with respect to waves, the following terms.1. Speed ofwave. v: ........................

2. Frequency, f

3. Wavelength,,l:

4. Period, I:

(ii) Hence deduce the equation linking the speed of the wave, v, the frequency,I of the wave and the wavelength, ,,1, of the wave. t1l

l2l


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(b)A sound wave of speed 330 m sr passes through air. The variation of particledisplacement with distance along the wave at one instant of time is shown inFig. 1.1 below. The direction of travel olthe wave is from left to right.Y (at a distance of 8.75m)

2.OEEcE

_qo.9o

(i) Distinguish belween longitudinalstate whether the wave in Fig.transverse wave.and lransverse progressive waves, and1.1 is an example of a longitudinal or a

Fig 1.1

t2l

(ii) Calculate the maximum speed of particle A, vna,, given v^., = 2nfxo , where fis the frequency of the wave and xo is the amplitude.

lvlaximum speed of particle A, v."" = ms'[2]


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(iii) State the directions of the velocities of particles X and Y at this instant. Takedisplacement to the right to be positive.Direction of velocity of particle X: .......................... [0.5]Direction of velocity of particle Y: .......................... t0.51

(iv) Calculate the phase difference between point X and point Y.

phase difference = radians [2]

Wave MDistance / cm

10.0 20.

(c) Fig 1.2 below shows the shape of a string at a particular instant in time (t = 0 s) as aprogressive transverse wave lvl travels along it. The speed of wave M is 1.60 m s '.Displacement / cm direction of traver

0.0 90.0 100.

Fig. 1.2


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Sketch, on Fig 1.3 below, the displacement{ime graph of point G for the range oftime between 0 s and 1.0 s. I3l

Fig 1.3(d) Wave N is another progressive transverse wave with the same wavelength andfrequency and travelling in the same direction as wave l\il. The intensity of wave N

is four times that of wave l\.4. Given that wave N leads wave M by I radians, sketch'2the wave profile of wave N on Fig. 1.2. t2)

Displacement / cm


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2 (a) Explain what is meant by coherenl sources.. t1l

(b) s1

tate 3 conditions for observable fringe patterns.

2.

(c) Red light of wavelength 650 nm is incident normally on a double slit arrangement.The interference fringes formed are viewed on a screen placed parallel to and at adistance of 1.60 m from the double slit, as shown in Fig 2.1.

1.60 m I*----'.---..--

Light ofWavelength 650 nm

double slitFig 2.1

tI

I


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(i) Calculate the fringe separationis 1.0 x l0'a m. produced on the screen if the slit separation

fringe separation = mm [2]State and explain the changes, if any, to the frlnge separation and contrast oIthe interference pattern produced if1. both slits are made narrower whilst keeping the slit separation constant.

fringe separation:

contrasl:

(ii)

t31

2. the amplitude of light emerging from one of the slits is reduced to half ofits previous value.fringe separation:

contrast:

t3l


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3. the light is replaced with yellow light.frinqe sepdration:

contrast:

t3l


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(a) Define the voll and use energy considerations to distinguish between electromotiveforce of a cell and potential difference between its terminals.

t3l

(b) A battery of e.m.f. 12.0 V and internal resistance 0.50 O is connected to a resistorof resistance 7.50 O as shown in Fig 3.1.

E=12.0Yr= 0.50 O

BFig 3.1

the position of athe e.m.f. E of(i) Mark with an X, on Fig 3.1,be used to measure eitherdifference Y.Determine(i) the current in the circuit,

switch so that the voltmeter maythe cell or the terminal potentialt1l

R=7.50O

current = A t2l


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(ii) the potential difference across the 7.50 O resistor,

potential difference = ................. V [2]

( iii) the potential at points A and B in the circuit,

v [1]v [1]

(iv) the power supplied to the 7.50 O resistor.

power supplied - .................. W [2](c) Explain why the potential difference across the terminals of the cell is normallylower than the e.m.f ol the cell. Under what condition is the potential differenceacross the terminals a cell is equalto its e.m.f.?

t3l


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4(a) Fiq. 4.1 shows a circuit containing a 10.0 V battery with a non-negligible internalresistance r, and 6 external resistors.

Fig.4.1The potential differences across some ofthe resistors are given in Table 4.1 below.

Resistor Potential Difference / V

B 4.Oc 30DEF 2.5

1.0

Table 4.1(i) Complete Table 4.1 to show the potential difference across each resistor. [3]


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(ii) Complete Table 4.2 to show the potential values at positions V, W, X, Y and Z.t5l

Table 4.2

(iii) Sketch a graph to show how the potential y, varies along the loop UWXZY.Labelthe graph with appropriate values. 131

DistanceY

I

::

Position Potential / VU

XYz


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(b) Fig. 4.2 shows a circuit consisting of a 9.0 V battery containing of a t\.^io-way switch,which can be closed at positions A or B.

The switch is closed at position A. What is the potential difference across the4.0 O resistor?

Potential difference =(ii) The switch position is now changed to position B. What iscurrent drawn from the battery?v l2l

the amount of

(i)

9.0 v

Two-way

Fis. 4.2

jc2 h1 common test - march

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