- This paper consists of TWO sections A and B.
- Answer ALL the questions in section A and B in the spaces provided.
- All working MUST be clearly shown.
- Mathematical tables and electronic calculators may be used.
- Two plane mirrors are inclined at an angle of 120° to each other such that their reflecting surfaces face each other. An object pins stands midway between the mirrors. Draw a ray diagram to show all the images (3mks)
- State two conditions necessary for the occurrence of an annular eclipse (2mks)
- The figure below shows two parallel rays incident on a concave mirror. F is the focal point of the mirror
Sketch on the same diagram the path of the rays after striking the mirror. (2mks) - State the class of waves to which sound belongs (1mk)
- Calculate the value of the critical angle C shown in the figure below (2mks)
- In the diagram below, two electroscopes A and B carry same type of charges as shown. The two are then connected with a copper wire as shown.
State and explain the observations (2mks) - The figure below shows a real image I formed by a convex lens
On the same grid, construct a ray diagram to locate the position of the object (2mks) - State a property of electromagnetic wave on which the operation of a radar system is based (1mk)
- The figure below shows an attempt to supply each of the three lamps L1,L2 and L3 with a switch.
- Explain why this is a poor connection (1mk)
- Redraw an adjacent diagram to show the best positioning for the switches (1mk)
- State one use of x-ray in medicine and one use in industry (2mks)
- Draw the magnetic field lines due to the configuration shown below (1mk)
- Sketch the current –voltage characteristic of a junction diode in a forward bias mode (1mk)
- The graph below represents values of 1/f and corresponding values of wavelength for waves transmitted in a certain medium
From the graph, determine the speed of the waves (3mks) - State one causes of power loss in long distance transmission wires and how these loses can be minimized (1mk)
SECTION B (55 MKS)
Answer all questions in the spaces provided
-
- Study the circuit shown below.
State and explain what happens to the identical lamps X and Y in the circuit shown when- Switch S2 only is closed (2mks)
- Switches S1 and S2 are closed (2mks)
- Graph A shows how potential difference across a battery varies with the current supplied.
Graph B shows how the current in a filament lamp varies with potential difference across it.- Use graph A to determine
- e.m.f of the battery (1mk)
- The internal resistance of the battery given V = -Ir+E (3mks)
- Calculate the resistance of the filament lamp when current through it is 1.5A (2mks)
- Use graph A to determine
- Study the circuit shown below.
-
-
- The following nuclear reaction is part of a radioactive series
- Name the radiation represented by r and s (1mk)
r………
s……… - Determine the number represented by x and y (1mk)
x………
y………
- Name the radiation represented by r and s (1mk)
- The figure below shows the features of diffusion cloud chamber used for detecting radiations from radioactive sources.
- State the property of alcohol that makes it suitable for use in the chamber (1mk)
- What is the purpose of the solid CO2 ? (1mk)
- Explain how the radiation from the radioactive source is detected in the chamber. (2mks)
- State one advantage of the cold chamber over a charged gold leaf electroscope when used as detectors of radiation (1mk)
- The following nuclear reaction is part of a radioactive series
- The graph below shows how the activity of a sample of the radioisotope technetium which is used extensively in medicine, varies with time.
- Use the graph to determine the half-life, T ½ of technetium (1mk)
- Hence calculate the decay constant for technetium given that where λ is the decay constant. (1mk)
- Determine the number of technetium atoms remaining in the sample after 24 hours (1mk)
-
- The figure below shows the features of an X-ray tube
-
- What is the purpose of the oil going in and out of the anode (1mk)
- State with reason the property of tungsten that makes it suitable as a target (1mk)
- An X-ray tube operates with a potential difference of 100kv and filament current is 20mA. Calculate ;
- The power transferred to the target of X-ray tube (2mks)
- The number of electrons hitting the target per second (2mks)
- The maximum energy of X-ray produced (Take charge of an electron=1.6x10-19C, mass of an electron =9.1x10-31kg, fmax = 3 x 1019 Hz) (2mks)
- The diagram shows monochromatic radiation falling on a photocell connected to a circuit
The incident radiation has a wavelength of 2.15x10-7m. The metal surface of the photocell has a work function of 2.26 eV- Calculate the energy in eV of a proton of the incident radiation (Take speed of light C=3.0x108ms-1, Planck’s constant, h = 6.63x10-34JS and electronic charge, e = 1.6x10-19C) (3mks)
- What is the maximum kinetic energy of the emitted electrons (2mks)
- Write down the value of the stopping potential (1mk)
-
-
- State Lenz’s law of electro-magnetic induction (1mk)
- In the figure below, the bar magnet is moved out of the coil
- If the current, I is induced in the coil in the direction shown, what is the polarity of x of the magnet? (1mk)
- Explain briefly the source of electrical energy in the circuit (1mk)
- A hydro-electric power station produces 500KW at a voltage of 10KV. The voltage is then stepped up to 150KV and the power is transmitted through cables of resistance 200Ω to a stepdown transformer in a sub-station. Assuming that both transformers are 100% efficient. Calculate;
- The current produced by the generator (2mks)
- The current that flows through the transmission cables (2mks)
- The voltage drop across the transmission cables (2mks)
- The power loss during transmission (2mks)
- The power that reaches the sub-station (2mks)
-
- The following graph shows the variation of image distance, v, with magnification, for a converging lens
Using the graph and the equation v/f = M + 1 determine:- The object position when the image position is 45 cm (2mks)
- The focal length of the lens (2mks)
- The power of the lens (2mks)
- The following figure shows an eye defect
Name the defect and illustrate on the same diagram how the defect could be corrected. (2mks)
- The following graph shows the variation of image distance, v, with magnification, for a converging lens
MARKING SCHEME.
SECTION A (25 MARKS)
Answer ALL the questions in this section in the spaces provided
- Two plane mirrors are inclined at an angle of 120° to each other such that their reflecting surfaces face each other. An object pins stands midway between the mirrors. Draw a ray diagram to show all the images (3mrks)
✓ Correct position of two images
✓ Correct rays for image1
✓ Correct rays for image 2 - State two conditions necessary for the occurrence of an annular eclipse (2mks)
- Moon too small to hide the sun completely
- Ring of sunlight shows round the edge of the moon
- The figure below shows two parallel rays incident on a concave mirror. F is the focal point of the mirror.
- reffected rays (real) with arrows.
- Image formed at the focal plane.
Sketch on the same diagram the path of the rays after striking the mirror. (2mks)
- State the class of waves to which sound belongs (1mk)
- Longitudinal wave
- Calculate the value of the critical angle C shown in the figure below (2mks)
n1 Sin C = n2 Sin 90°
Sin C = n2 sin 90°
n1
C = SIN-1(1.3/1.5) = 60° - In the diagram below, two electroscopes A and B carry same type of charges as shown. The two are then connected with a copper wire as shown
State and explain the observations (2mks)- The divergence of A drops slightly while B rises slightly. Both A and B will have qual divergence as they share changes equally.
- The figure below shows a real image I formed by a convex lens
On the same grid, construct a ray diagram to locate the position of the object (2mks) - State a property of electromagnetic wave on which the operation of a radar system is based (1mk)
- The waves can be reflected.
- The figure below shows an attempt to supply each of the three lamps L1,L2 and L3 with a switch
- Explain why this is a poor connection (1mk)
- When switch is open, bulbs L1, L2 and L3 will not light.
- Redraw an adjacent diagram to show the best positioning for the switches (1mk)
- Assessed by teacher
- Explain why this is a poor connection (1mk)
- State one use of x-ray in medicine and one use in industry (2mks)
- X-ray photography to reveal fracture/killing cancer cells
- Industries to detect flaws in metals.
- Draw the magnetic field lines due to the configuration shown below (1mk).
-
Sketch the current -voltage characteristic of a junction diode in a forward bias mode (1mk)
✓ Well labelled - The graph below represents values of /f and corresponding values of wavelength for waves transmitted in a certain medium
From the graph, determine the speed of the waves
G = 0·09 − 0·03
3 − 1
= 0.06
2 → C = 1/g = 1/0.03 →
G = 0.03 = 33.33m/s - State one causes of power loss in long distance transmission wires and how these loses can be minimized (1mk)
- High resistance in the cables, use thick conductors.
or - High current in the cables, stepping up voltage before transmission
- High resistance in the cables, use thick conductors.
SECTION B (55 MKS)
Answer all questions in the spaces provided
-
- Study the circuit shown below.
State and explain what happens to the identical lamps X and Y in the circuit shown when- Switch S2 only is closed (2mks)
- Bulbs X and Y light dimly beacuse they are connected in series offering a higher resistance to current
- Switches S1 and S2 are closed (2mks)
- Bulb X lights, brightly while Y does not because bulb Y is short circuted. V
- Switch S2 only is closed (2mks)
- Graph A shows how potential difference across a battery varies with the current supplied.
Graph B shows how the current in a filament lamp varies with potential difference across it
- Use graph A to determine
- e.m.f of the battery (1mk)
- 9.0V
- The internal resistance of the battery given V = -Ir+E (3mks)
stope (g) = (8 − 3)V
(0.5 − 3.0) A
= 5V
−2·5A
− r = −2Ω
r = 2Ω - Calculate the resistance of the filament lamp when current through it is 1.5A (2mks)
Slope = (4.2 − 1.0) V
(2.15 -0·9)A
3.2
1.25
(Evidence of traingle to score 1st mark)
Slope = resistance
= 2.56Ω
- e.m.f of the battery (1mk)
- Use graph A to determine
- Study the circuit shown below.
-
-
- The following nuclear reaction is part of a radioactive series
- Name the radiation represented by r and s
- r - beta (½ mrk)
- s - Alpha (½ mrk)
- Determine the number represented by x and y
- x - 83 (½ mrk)
- y - 82 (½ mrk)
- Name the radiation represented by r and s
- The figure below shows the features of diffusion cloud chamber used for detecting radiations from radioactive sources.
- State the property of alcohol that makes it suitable for use in the chamber
- Volatile.
- What is the purpose of the solid CO2? (1mk)
- Lowers the temperature in the chamber until it is super saturated.
- Explain how the radiation from the radioactive source is detected in the chamber. (2mks)
- Radition ionises air inside the chamber
- Alcohol droplets from on the air ions produced by the radiation forming white tracks.
- State one advantage of the cold chamber over a charged gold leaf electroscope when used as detectors of radiation (1mk)
- Cold chamber can identify this type of radiation while a gold leaf electroscope cannot.
- State the property of alcohol that makes it suitable for use in the chamber
- The following nuclear reaction is part of a radioactive series
- The graph below shows how the activity of a sample of the radioisotope technetium which is used extensively in medicine, varies with time
- Use the graph to determine the half-life, T 1⁄2 of technetium (1mk)
- 6 hours
-
Hence calculate the decay constant for technetium given that where λ is the decay constant. (1mk)
6 = 0.6931 → λ = 0.6931
λ 6 = 0.1155 -
Determine the number of technetium atoms remaining in the sample after 24 hours (1mk)
N = No(½)24 = 8x107 (½)24 = 4.768 = 5 atoms
- Use the graph to determine the half-life, T 1⁄2 of technetium (1mk)
-
- The figure below shows the features of an X-ray tube
- What is the purpose of the oil going in and out of the anode (1mk)
- It is used to cool the anode by conducting heat away.
- State with reason the property of tungsten that makes it suitable as a target (1mk)
- high melting point
- What is the purpose of the oil going in and out of the anode (1mk)
- An X-ray tube operates with a potential difference of 100kv and filament current is 20mA. Calculate;
- The power transferred to the target of X-ray tube (2mks)
P = IV = 20x 10−3 X 100000 = 2000W V -
The number of electrons hitting the target per second
N = I = 20X10−3 = 1.25 x 1017 electrons
e 1.6x10-19 -
The maximum energy of X-ray produced (Take charge of an electron=1.6x10-19C, mass of an electron = 9.1x10-31kg) (2mks) Max range of X-rays = 3.0 x 1019 Hz
Emax = hfmax = 6.63x10−34 x 3x109
= 19.89 x 10−15 = 1.989 x 10−14 J
- The power transferred to the target of X-ray tube (2mks)
- The diagram shows monochromatic radiation falling on a photocell connected to a circuit.
The incident radiation has a wavelength o f 2.15x10-7m. The metal surface of the photocell has a work function of 2.26 eV (3mks)- Calculate the energy in eV of a proton of the incident radiation (Take speed of light C = 3.0x108ms-1, Planck's constant, h = 6.63x10-34JS and electronic charge, e = 1.6x10-19C) \
E = hc
λe
= 6.63 x 10−3x 3x108
2.15 x 10−7 x 1.6 x 10−19
= 5.782ev - What is the maximum kinetic energy of the emitted electrons (2mks)
K·E = 5.782 − 2.26 = 3.522ev.
= 3.522 x 16 x 10-19
= 5.635 X10-19 Joules - Write down the value of the stopping potential (1mk)
5.782 − 2·26 = 3.522ev
- Calculate the energy in eV of a proton of the incident radiation (Take speed of light C = 3.0x108ms-1, Planck's constant, h = 6.63x10-34JS and electronic charge, e = 1.6x10-19C) \
-
- State Lenz's law of electro-magnetic induction (1mk)
- The direction of the induced emf is such that the induced circuit it causes to flow produces a magnetic effect that oposses this change producing it.
- In the figure below, the bar magnet is moved out of the coil
- If the current, I is induced in the coil in the direction shown, what is the polarity of x of the magnet? (1mk)
- North
- Explain briefly the source of electrical energy in the circuit (1mk)
- The magnetic flux cuts the coil inducing an emf in the coil hence electrical energy.
- If the current, I is induced in the coil in the direction shown, what is the polarity of x of the magnet? (1mk)
- A hydro-electric power station produces 500KW at a voltage of 10KV. The voltage is then stepped up to 150KV and the power is transmitted through cables of resistance 200Ω to a stepdown transformer in a sub-station. Assuming that both transformers are 100% efficient. Calculate;
- The current produced by the generator (2mks)
P = IV → 500000 = I x 10000
→ I = 50A - The current that flows through the transmission cables (2mks)
Vs = Ip → Is = VpIp = 10000 x 50
Vp Is Vs 150000 = 3.33A (2d.p) Atleast - The voltage drop across the transmission cables
V = IR
3.333X 200 = 666.6V - The power loss during transmission (2mks)
P = I2R =
(3.33)2 x 200 = 2217.78 W - The power that reaches the sub-station (2mks)
500000 − 2217.78 = 4975 782.22 W:
- The current produced by the generator (2mks)
- State Lenz's law of electro-magnetic induction (1mk)
-
- The following graph shows the variation of image distance, v, with magnification, for a converging lens.
Using the graph and the equation V = M +1 determine:
f- The object position when the image position is 45 cm (2mks)
M = V
u
→ 3·5 = 45cm
u
u = 45
3.5 = 12.86cm (Look for evidence on the graph) - The focal length of the lens (2mks)
V = mf + f(al − m = 0)
V = f
f = 10cm - The power of the lens (2mks)
P = 1/f = 1/0.1 = 10D
- The object position when the image position is 45 cm (2mks)
- The following figure shows an eye defect
✓ Correct with arrows
Name the defect and illustrate on the same diagram how the defect could be corrected. (2mks)- long sightedness (hypermetropic)
- The following graph shows the variation of image distance, v, with magnification, for a converging lens.
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