Engineering Entrance
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Q. A mass-spring system oscillates with a frequency of 5 Hz. What is the angular frequency? (2021)
Q. A mass-spring system oscillates with an amplitude of 0.1 m. What is the maximum speed of the mass if the angular frequency is 20 rad/s?
Q. A metal rod is heated at one end. If the temperature at the heated end is 100°C and the other end is at 20°C, what is the temperature gradient along the rod?
Q. A metal rod of length 1 m and cross-sectional area 1 cm² is heated at one end. If the temperature difference between the ends is 100°C, what is the rate of heat transfer through the rod? (Thermal conductivity of the metal = 200 W/m°C)
Q. A parallel plate capacitor has a capacitance of 5 µF. If the potential difference across it is increased from 10 V to 20 V, what is the change in stored energy?
Q. A particle is moving in a circle of radius r with a constant speed v. What is the angular velocity? (2022)
Q. A particle moves in a circular path of radius r with a constant speed v. What is the centripetal acceleration? (2022)
Q. A pendulum completes 20 oscillations in 40 seconds. What is its frequency? (2022)
Q. A pendulum of length 1 m swings with a small amplitude. What is its approximate time period? (2023)
Q. A pendulum swings back and forth. At which point is its potential energy maximum?
Q. A pendulum swings with a maximum angle of 15 degrees. What is the approximate frequency of the pendulum if its length is 1 m? (2020)
Q. A pendulum swings with a maximum angle of 30 degrees. What is the approximate time period for small angles? (2022)
Q. A person lifts a 10 kg box to a height of 2 m. What is the work done against gravity? (g = 9.8 m/s²)
Q. A projectile is launched at an angle of 30 degrees with an initial speed of 20 m/s. What is the maximum height reached? (g = 10 m/s²)
Q. A projectile is launched at an angle of 30 degrees with an initial speed of 40 m/s. What is the maximum height reached? (g = 10 m/s²)
Q. A projectile is launched with an initial velocity of 30 m/s at an angle of 45 degrees. What is the maximum height reached by the projectile? (2023)
Q. A projectile is launched with an initial velocity of 30 m/s at an angle of 45 degrees. What is the maximum height reached?
Q. A ray of light passes from air into glass at an angle of 45 degrees. What is the angle of refraction if the refractive index of glass is 1.5? (2022)
Q. A rectangle has a perimeter of 40 cm. What dimensions maximize the area? (2022)
Q. A rectangle has a perimeter of 40 cm. What dimensions will maximize the area? (2022)
Q. A rectangle has a perimeter of 40 units. What dimensions maximize the area? (2022) 2022
Q. A rectangle has a perimeter of 40 units. What dimensions maximize the area? (2022)
Q. A refrigerator operates between 250 K and 300 K. What is its coefficient of performance (COP)? (2022)
Q. A refrigerator removes heat from the inside at a rate of 200 J/s and expels it to the surroundings at a rate of 250 J/s. What is the coefficient of performance (COP) of the refrigerator? (2023)
Q. A refrigerator removes heat from the inside at a rate of 200 J/s and expels it to the outside at a rate of 250 J/s. What is the coefficient of performance (COP) of the refrigerator? (2022)
Q. A refrigerator removes heat from the interior at a rate of 200 W. If the coefficient of performance (COP) is 4, what is the power consumed by the refrigerator?
Q. A resistor of 10 Ω and a capacitor of 100 μF are connected in series to an AC source of frequency 50 Hz. What is the capacitive reactance? (2020)
Q. A resistor of 10Ω is connected across a 20V battery. What is the power consumed by the resistor? (2021)
Q. A resistor of 10Ω is connected to a 20V battery. What is the power consumed by the resistor? (2021)
Q. A resistor of 10Ω is connected to a 20V power supply. What is the power consumed by the resistor? (2021)
