Question 31
An object placed at the bottom of a well full of clear water appears closer to the surface due to?
Light rays from the object bend at the water–air interface (change direction) so the observer's brain traces them back in straight lines to a point nearer the surface. This bending is refraction; the apparent depth is given by $d_{apparent}=d/ n$ approximately, so the object appears closer.
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Question 32
If the partial pressure of water vapour at $27^\circ$C is 18 mm Hg and the saturated vapour pressure of the atmosphere at the same temperature is 24 mm Hg, the relative humidity at this temperature is?
Relative humidity = $\dfrac{\text{partial pressure}}{\text{saturation pressure}}\times100\%$.
So $\dfrac{18}{24}\times100\%=75\%$.
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Question 33
In a good thermos flask, the main cause of heat loss is?
A well-made thermos minimizes radiation (silvered walls) and convection (vacuum). The principal remaining path for heat loss is conduction through the stopper/cork, so conduction via the cork is the main cause.
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Question 34
Given the progressive wave equation $y=5\sin(2000\pi t-0.4x)$, calculate the wavelength.
Compare with $y=\sin(\omega t-kx)$ so the wave number $k=0.4\ \text{rad·m}^{-1}$.
Wavelength $\lambda=\dfrac{2\pi}{k}=\dfrac{2\pi}{0.4}=\dfrac{6.2832}{0.4}\approx15.708\ \text{m}$ (rounded $15.7\ \text{m}$).
Wavelength $\lambda=\dfrac{2\pi}{k}=\dfrac{2\pi}{0.4}=\dfrac{6.2832}{0.4}\approx15.708\ \text{m}$ (rounded $15.7\ \text{m}$).
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Question 35
The fundamental property of a propagating wave which depends only on the source and not the medium of propagation is the?
The property determined solely by the source (and not by the medium) is the frequency. (Per the provided key the selected option is shown as "harmonies".)
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Question 36
When cold water is poured on a can containing hot water, the can collapses because the
Pouring cold water causes the steam inside to condense rapidly, reducing internal pressure. The external atmospheric pressure then exceeds the internal pressure and crushes the can. Thus the collapse is due to external pressure becoming greater than internal pressure.
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Question 37
An empty density bottle weighs 2 N. If it weighs 5 N when filled with water and 4 N when filled with olive oil, the relative density of olive oil is
Weight of water = 5 N − 2 N = 3 N. Weight of oil = 4 N − 2 N = 2 N. Relative density (oil/water) by weight = $2/3$.
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Question 38
The thermometric property of a thermocouple is the change in?
A thermocouple produces an emf (voltage) that changes with temperature due to the Seebeck effect. Therefore its thermometric property is the change in electromotive force.
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Question 39
During summer, the balance wheel of a clock expands. What effect does this have on the accuracy of the clock?
Expansion increases the radius (moment of inertia) of the balance wheel, increasing its period of oscillation so the clock ticks more slowly and thus loses time.
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Question 40
A sealed flask contains 600 cm³ of air at $27^\circ$C and is heated to $35^\circ$C at constant pressure. The new volume is?
Use Charles's law $V\propto T$ (in kelvin). Convert temperatures: $T_1=27^\circ$C = 300 K, $T_2=35^\circ$C = 308 K.
$$V_2=V_1\dfrac{T_2}{T_1}=600\times\dfrac{308}{300}=600\times1.026666...\approx616\ \text{cm}^3.$$
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