3

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Answer all questions in the spaces provided.

1 (a) Make estimates of:

(i) the mass, in g, of a new pencil

mass = ………………………………. [1]

(i) the wavelength of ultraviolet radiation.

wavelength = ………………………………. [1]

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3 (a) Define Kinetic Energy

……………………………………………………………………………………………………………

…………………………………………………………………………………………………………[1]

(b) A remote-controlled toy car moves up a ramp and travels across a gap to land on
another ramp, as illustrated in Fig. 3.1

10 𝑚𝑠 −1

Fig. 3.1
The car leaves ramp P with a velocity 10 𝑚𝑠 −1 of at an angle θ to the horizontal. The
horizontal component of the car’s velocity as it leaves the ramp is 6 𝑚𝑠 −1 .

The car lands at the top of ramp Q. The tops of both ramps are at the same height and are
distance d apart. Air resistance is negligible.
(i) Find the vertical component of the car as it leaves the ramp.

velocity =……………………………… ms −1 [2]

(ii) Determine the time taken for the car to travel between the ramps.

time taken = ……………………………… s [2]

(iii) Determine the horizontal distance d between the tops of the ramps.

distance = …………………………….. m [1]

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(iv)

(c) Ramp Q is removed. The car again leaves ramp P as in (b) and now lands directly
on the ground. The car leaves ramp P at time t = 0 and lands on the ground at time t = T.
On Fig. 3.2, sketch the variation with time t of the Kinetic Energy, 𝐸𝐾 of the car’s velocity from
t = 0 to t = T. Numerical values of 𝐸𝐾 and t are not required.

𝐸𝐾 /J

Fig 3.2
[2]

[Total: 11]
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4 (a)

(b) Waves on water are usually produced by wind blowing across the surface.
Under certain conditions, standing waves called seiches can be produced on a shallow lake.
Antinodes occur at opposite ends of the lake.
Fig. 4.1. shows the cross-section of a lake where a seiche is occurring, at equal intervals of
time.

Fig 4.1

(i) Describe how someone viewing the lake might be aware that there were standing
waves on the lake.

……………………………………………………………………………………………………..

……………………………………………………………………………………………………..

……………………………………………………………………………………………………..

…………………………………………………………………………………………………[2]

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(ii) For the standing wave, label each antinode A and each node N on the bottom of the
diagram of Fig. 4.1
With the aid of the labels, show that the wavelength of the water waves is 1600m

[2]
(iii) Explain why Fig. 4.1 shows that the period of the waves is 96 s. Use this to calculate
the speed of water waves in the lake.

speed =……………………….. 𝑚𝑠 −1 [2]

(c)

[Total =11]
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(b) In order to light up a set of lamps, each having a resistance of 20Ω, a student sets up a circuit
as shown in Fig. 5.1

Fig. 5.1

……………………………………………………………………………………………..

………………………………………………………………………………………… [3]

[Total:6]

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6 (a)

Fig 6.1
[2]
(b) In another circuit shown in Fig. 6.1, a uniform wire AB of length 80.0 cm and resistance 1.5 Ω
is connected in series with a resistor of 5.0 Ω and a cell of e.m.f. 9.0 V with internal resistance
1.0 Ω.

Fig. 6.1
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(ii) A cell C of e.m.f. 1.5 V and the internal resistance 0.8 Ω is connected to the circuit in
Fig. 6.1, as shown in Fig. 6.2. The movable contact D can be connected to any point
along AB.

Fig. 6.2

(iii) Explain what would happen to the length of AD when there is zero current in the
galvanometer, if the 5 Ω resistor in Fig. 6.2 is replaced by a 3.0 Ω resistor.

……………………………………………………………………………………………………

……………………………………………………………………………………………………

…………………………………………………………………………………………………..[2]

[Total:8]
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