Question 41
When water is boiling, it
Boiling is the process of rapid evaporation where a liquid transitions into its gaseous phase. During this phase change, the temperature remains constant at the boiling point (100°C for pure water at standard pressure) as the added heat is used as latent heat of vaporization to break intermolecular bonds. Thus, the water changes into steam.
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Question 42
A mixture of blue and red pigment when illuminated by white light will appear
Pigments follow the subtractive color theory. When blue and red pigments are mixed, they absorb most colors from the white light spectrum and reflect a combination that the human eye perceives as magenta (a purplish-red). Note: In light (additive theory), Red + Blue also equals Magenta.
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Question 43
A siren having a ring of 200 hole makes 132 rev/min. A jet of air is directed on the set of holes. Calculate the frequency and wavelength in air of the note produced (take v = 350m/s)
1. Calculate frequency (\( f \)): The number of pulses per second is the number of holes multiplied by the revolutions per second.\[ f = \text{number of holes} \times \frac{\text{rev}}{\text{sec}} \]\[ f = 200 \times \frac{132}{60} = 200 \times 2.2 = 440 \text{ Hz} \]2. Calculate wavelength (\( \lambda \)) using \( v = f\lambda \):\[ \lambda = \frac{v}{f} = \frac{350}{440} \approx 0.795 \text{ m} \]
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Question 44
A man on a bench will exert the greatest pressure on the bench when he
Pressure is defined as Force divided by Area (\( P = F/A \)). Since the man's weight (force) remains constant, the pressure is greatest when the area of contact is smallest. Standing on the toes of one foot provides the smallest possible surface area compared to standing on both feet or lying down, resulting in the maximum pressure.
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Question 45
Gases conduct electricity under
Under normal conditions, gases are poor conductors because they consist of neutral molecules. However, at low pressure, there is more space for ions to accelerate without frequent collisions. When a high voltage is applied, these ions gain enough kinetic energy to ionize other molecules upon collision, allowing electricity to flow.
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Question 46
Neutrons were discovered by
The neutron, a subatomic particle with no electrical charge located in the nucleus, was discovered by James Chadwick in 1932. His discovery explained the extra mass in atoms that could not be accounted for by protons alone.
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Question 47
The mass of a nucleus is the
The mass number (nucleon number) of an atom is defined as the sum of the number of protons and neutrons found in the nucleus. Since protons and neutrons have approximately the same mass, and electrons have negligible mass, the nucleus contains nearly all the mass of the atom.
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Question 48
Three resistors with resistance 200\( \Omega \), 500\( \Omega \) and 1k\( \Omega \) (1000\( \Omega \)) are connected in series. A 6v battery is connected to either end of the combination. Calculate the potential difference between the ends of 200\( \Omega \) resistance.
1. Find Total Resistance (\( R_T \)) in series:\[ R_T = 200 + 500 + 1000 = 1700 \; \Omega \]2. Calculate total current (\( I \)):\[ I = \frac{V}{R_T} = \frac{6}{1700} \text{ A} \]3. Calculate potential difference (\( V_1 \)) across 200\( \Omega \):\[ V_1 = I \times R_1 = \left( \frac{6}{1700} \right) \times 200 = \frac{1200}{1700} \approx 0.7058 \text{ V} \]Rounding to two decimal places gives 0.71V.
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Question 49
An a.c of 1A at a frequency of 800 cycles per second flows through a coil, the inductance of which is 2.5mH and the resistance of which is 5\( \Omega \). What is the power absorbed in the Coil?
In an AC circuit containing both an inductor and a resistor, power is only dissipated (absorbed) by the resistance. The inductor stores and releases energy but does not 'consume' it as heat. The formula for power is:\[ P = I^2 R \]Given \( I = 1 \text{ A} \) and \( R = 5 \; \Omega \):\[ P = (1)^2 \times 5 = 5 \text{ W} \]
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Question 50
In semi-conductor, the carriers of current at room temperature are
In a semiconductor material, electrical conduction is achieved through two types of charge carriers: free electrons and holes. Holes are the absence of an electron in the valence band that acts as a positive charge carrier. At room temperature, thermal energy is sufficient to excite some electrons to the conduction band, creating electron-hole pairs.
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