The escape velocity from Earth does not depend on MCQ with Answer and Explanation
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Question #1
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Coil center magnetic field B = μ₀NI/(2R). If N doubled, B becomes:
Question #2
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A machine gun fires 60 bullets per minute, each of mass 10 g with velocity 600 m/s. The power developed by the gun is:
Correct Answer: Option D
Explanation:
Power = work done per unit time = kinetic energy imparted per second. KE per bullet = ½mv² = ½×0.01×(600)² = 1800 J. Bullets per second = 60/60 = 1. Thus power = 1800 J/s = 1800 W. Note: Mass conversion: 10 g = 0.01 kg. This problem combines kinetic energy formula with power definition. Exam tip: Always convert to SI units first (grams to kg, minutes to seconds). Such numerical problems test multi-step calculation skills and unit conversion proficiency essential for competitive examinations.
Power = work done per unit time = kinetic energy imparted per second. KE per bullet = ½mv² = ½×0.01×(600)² = 1800 J. Bullets per second = 60/60 = 1. Thus power = 1800 J/s = 1800 W. Note: Mass conversion: 10 g = 0.01 kg. This problem combines kinetic energy formula with power definition. Exam tip: Always convert to SI units first (grams to kg, minutes to seconds). Such numerical problems test multi-step calculation skills and unit conversion proficiency essential for competitive examinations.
Question #3
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The internal energy of an ideal gas depends only on:
Correct Answer: Option A
Explanation:
For an ideal gas, internal energy U depends solely on temperature (U = f/2 nRT, where f is degrees of freedom). This follows from kinetic theory: no intermolecular forces, so energy is purely kinetic, proportional to T. Pressure and volume can change at constant T (isothermal process) without changing U. Memory tip: 'Ideal gas: U = U(T) only; real gases have volume dependence'. This thermodynamics concept is frequently tested in competitive exams. Always distinguish ideal vs real gas behavior; competitive exams typically assume ideal gas unless specified.
For an ideal gas, internal energy U depends solely on temperature (U = f/2 nRT, where f is degrees of freedom). This follows from kinetic theory: no intermolecular forces, so energy is purely kinetic, proportional to T. Pressure and volume can change at constant T (isothermal process) without changing U. Memory tip: 'Ideal gas: U = U(T) only; real gases have volume dependence'. This thermodynamics concept is frequently tested in competitive exams. Always distinguish ideal vs real gas behavior; competitive exams typically assume ideal gas unless specified.
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