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Five measurements of a 10.00cm rod yield: 10.4, 10.1, 10.2, 10.1, 10.4 cm. This demonstrates: @ Low accuracy, Low precision, @ High accuracy, Low precision, @ High precision, Low accuracy, @ Systematic error only
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Part 38· 3 steps
Five measurements of a rod yield: .
Analyze the precision of the measurements.
Precision refers to how close repeated measurements are to each other. The measurements () are very close to each other, indicating high precision.
Analyze the accuracy of the measurements.
Accuracy refers to how close the measurements are to the true value (). The average of the measurements is approximately . Since all measurements are consistently higher than the true value, they are not close to the true value, indicating low accuracy. This consistent deviation suggests a systematic error.
Match with the given options.
The measurements demonstrate high precision and low accuracy.
The correct answer is .
Part 39· 4 steps
Three molecules have speeds in as and 5.00.
Recall the formula for root mean square (RMS) speed.
The RMS speed is given by:
where are the individual speeds and is the number of molecules.
Substitute the given speeds into the formula.
Calculate the RMS speed.
Compare with the options.
The calculated value is approximately .
The correct answer is .
Part 40· 4 steps
A heater is efficient. The heater is used to increase the temperature of some water from to in . The specific heat capacity of water is .
Calculate the total energy supplied by the heater.
Power .
Time .
Energy supplied .Calculate the useful energy transferred to the water.
Efficiency .
Useful energy .Calculate the change in temperature of the water.
Initial temperature .
Final temperature .
Change in temperature . (Note: A change of is equivalent to a change of ).Calculate the mass of water heated using the heat transfer formula.
The heat absorbed by the water is . Here, .
The correct answer is .
Part 41
What causes drift current in a p-n junction diode?
Drift current is the movement of charge carriers (electrons and holes) in a semiconductor due to the presence of an electric field. In a p-n junction, an electric field exists across the depletion region, which causes minority carriers to drift across the junction.
The correct answer is .
Part 42
Which of the following is operated in forward bias?
- LED (Light Emitting Diode): An LED is specifically designed to emit light when current flows through it, which occurs when it is operated in forward bias.
- Solar cell: Solar cells typically operate in photovoltaic mode (zero bias, generating current from light) or can be reverse biased for certain applications.
- Photodiode: Photodiodes are usually operated in reverse bias (photoconductive mode) to detect light, as this increases the depletion region width and improves response time and sensitivity.
- Junction diode: This is a general term for a diode, which can be forward or reverse biased. However, among the specific devices listed, the LED's primary function relies on forward bias.
The correct answer is .
Part 43
The main composition of biogas is?
Biogas is a mixture of gases produced by the anaerobic digestion of organic matter. Its primary components are methane () and carbon dioxide (). Methane typically constitutes of biogas and is the main combustible component, making it the most significant part of its composition for energy purposes.
The correct answer is .
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