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Q1.
A battery has an emf of 5.30 V and negligible internal resistance.
(a) State what is meant by an emf of 5.30 V for this battery.
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(2)
(b) Figure 1 shows the battery connected into a circuit.
Figure 1
The ammeter is ideal.
The voltmeter is non-ideal and has a resistance R.
The reading on the voltmeter is 1.05 V when it is connected across the 320 Ω
resistor.
Show that the reading on the ammeter is approximately 7 mA.
(2)
(c) Show that the resistance R of the voltmeter is approximately 300 Ω.
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(3)
(d) The voltmeter is now connected across the battery terminals.
Calculate the power dissipated in the voltmeter.
power = _______________ W
(2)
(e) The voltmeter is now connected across the 640 Ω resistor as shown in Figure 2.
Figure 2
The reading on the voltmeter is 2.10 V.
When the voltmeter was connected across the 320 Ω resistor, as shown in Figure 1,
the reading on the voltmeter was 1.05 V.
Explain why the sum of these voltmeter readings does not equal the emf of the
battery.
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(2)
(Total 11 marks)
Q2.
Figure 1 shows a conveyor used to raise concrete blocks on a building site. The blocks
do not slip on the belt at any time.
Figure 1
Figure 2 shows an enlarged view of one block on the belt. The belt is inclined at 23° to
the horizontal. The mass of the block is 19 kg.
Figure 2
The belt exerts a frictional force F on the block when the block is at rest.
(a) Draw an arrow on Figure 2 to show the line of action of F.
(1)
(b) Show that the magnitude of F is approximately 70 N.
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(1)
(c) The belt is driven by an electric motor. When the motor is switched on, the belt and
the block accelerate uniformly from rest to a speed of 0.32 m s−1 in a time of 0.50 s.
Calculate the magnitude of the frictional force of the belt on the block during this
acceleration.
frictional force = _______________ N
(3)
(d) The motor is connected to a 110 V dc supply that has negligible internal resistance.
The maximum operating current in the motor is 5.0 A.
The efficiency of the motor and drive system of the conveyor is 28%. The belt
travels at 0.32 m s−1 and is 8.0 m long.
Deduce the maximum number of blocks that can be moved on the belt at one time.
maximum number of blocks = _______________
(4)
(Total 9 marks)
Q3.
(a) A light emitting diode (LED) emits blue light with a wavelength of 440 nm. The rate
of photon emission is 3.0 × 1016 s−1.
Show that the power output of the LED is approximately 0.014 W.
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Q1.
A battery has an emf of 5.30 V and negligible internal resistance.
(a) State what is meant by an emf of 5.30 V for this battery.
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
(2)
(b) Figure 1 shows the battery connected into a circuit.
Figure 1
The ammeter is ideal.
The voltmeter is non-ideal and has a resistance R.
The reading on the voltmeter is 1.05 V when it is connected across the 320 Ω
resistor.
Show that the reading on the ammeter is approximately 7 mA.
(2)
(c) Show that the resistance R of the voltmeter is approximately 300 Ω.
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(3)
(d) The voltmeter is now connected across the battery terminals.
Calculate the power dissipated in the voltmeter.
power = _______________ W
(2)
(e) The voltmeter is now connected across the 640 Ω resistor as shown in Figure 2.
Figure 2
The reading on the voltmeter is 2.10 V.
When the voltmeter was connected across the 320 Ω resistor, as shown in Figure 1,
the reading on the voltmeter was 1.05 V.
Explain why the sum of these voltmeter readings does not equal the emf of the
battery.
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
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___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
(2)
(Total 11 marks)
Q2.
Figure 1 shows a conveyor used to raise concrete blocks on a building site. The blocks
do not slip on the belt at any time.
Figure 1
Figure 2 shows an enlarged view of one block on the belt. The belt is inclined at 23° to
the horizontal. The mass of the block is 19 kg.
Figure 2
The belt exerts a frictional force F on the block when the block is at rest.
(a) Draw an arrow on Figure 2 to show the line of action of F.
(1)
(b) Show that the magnitude of F is approximately 70 N.
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(1)
(c) The belt is driven by an electric motor. When the motor is switched on, the belt and
the block accelerate uniformly from rest to a speed of 0.32 m s−1 in a time of 0.50 s.
Calculate the magnitude of the frictional force of the belt on the block during this
acceleration.
frictional force = _______________ N
(3)
(d) The motor is connected to a 110 V dc supply that has negligible internal resistance.
The maximum operating current in the motor is 5.0 A.
The efficiency of the motor and drive system of the conveyor is 28%. The belt
travels at 0.32 m s−1 and is 8.0 m long.
Deduce the maximum number of blocks that can be moved on the belt at one time.
maximum number of blocks = _______________
(4)
(Total 9 marks)
Q3.
(a) A light emitting diode (LED) emits blue light with a wavelength of 440 nm. The rate
of photon emission is 3.0 × 1016 s−1.
Show that the power output of the LED is approximately 0.014 W.
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