Major Competitive Exams
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Q. A material has a bulk modulus of 200 GPa. If the pressure on the material is increased by 10 MPa, what is the fractional change in volume?
Q. A material has a bulk modulus of 200 GPa. What is the change in volume when a pressure of 50 MPa is applied?
Q. A material has a Poisson's ratio of 0.3. If it is stretched in one direction, what is the expected lateral contraction ratio? (2019)
Q. A material has a Poisson's ratio of 0.3. What is the ratio of lateral strain to longitudinal strain?
Q. A material is said to be elastic if it:
Q. A material is subjected to a tensile stress of 100 MPa and experiences a strain of 0.002. What is its Young's modulus?
Q. A material with a Poisson's ratio of 0.5 is considered to be:
Q. A meal contains 15 grams of fat, 30 grams of carbohydrates, and 10 grams of protein. How many total calories does this meal provide? (Fat = 9 cal/g, Carbohydrates = 4 cal/g, Protein = 4 cal/g) (2021)
Q. A meal contains 20 grams of fat. How many calories does this contribute to the meal? (Fat = 9 cal/g) (2021)
Q. A meal contains 40 grams of fat. If each gram of fat provides 9 calories, how many calories are derived from fat in this meal? (2023)
Q. A meal contains 800 calories, with 40% from carbohydrates, 30% from proteins, and 30% from fats. How many calories are from carbohydrates?
Q. A measurement of 15.5 m has a relative error of 0.03. What is the absolute error?
Q. A measurement of 30 m has an error of ±0.1 m. What is the true value if the measurement is taken as the average?
Q. A measurement of a physical quantity is reported as 25.0 ± 0.5 units. What is the total uncertainty if this quantity is multiplied by 3?
Q. A measurement of length is recorded as 12.3 cm with an uncertainty of ±0.1 cm. What is the relative error in the measurement?
Q. A measurement of length is recorded as 5.0 cm with an uncertainty of ±0.1 cm. What is the relative error in this measurement?
Q. A merchant bought a batch of goods for $500 and sold them for $600. If he had given a discount of 10% on the selling price, what would be his profit?
Q. A merchant bought a batch of goods for $500 and sold them for $600. What is the profit in dollars and the profit percentage?
Q. A merchant bought a batch of goods for $500 and sold them for $600. What is the profit percentage?
Q. A merchant bought a batch of goods for $600 and sold them at a total of $720. What is the profit percentage? (2023)
Q. A merchant bought a bicycle for $500 and sold it for $450. What is the loss percentage?
Q. A merchant sells a product for $400 after applying a discount of 20%. What was the marked price? (2023)
Q. A merchant sells a product for $500, which is a 20% profit over the cost price. What is the cost price?
Q. A metal block of mass 2 kg at 100°C is placed in 1 kg of water at 20°C. What is the final temperature of the system? (Specific heat of water = 4.2 J/g°C, Specific heat of metal = 0.9 J/g°C)
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 military base has 120 soldiers. If 30% of them are on leave, how many soldiers are present? (2019)
Q. A military base has a rectangular area of 200 m by 150 m. What is the area of the base? (2019)
Q. A military base is located 150 km from the city. If a vehicle travels at 75 km/h, how long will it take to reach the base? (2019)
Q. A military base is located 300 km away from the capital. If a vehicle travels at 75 km/h, how long will it take to reach the base? (2022)