CUSAT CAT B.Tech case studies
CUSAT CAT B.Tech · Put your knowledge to work in context.
CUSAT CAT (Common Admission Test) is the entrance examination through which Cochin University of Science and Technology, Kochi, admits students to its B.Tech programmes, which are taught under the university's School of Engineering. It is intended for candidates who have completed, or are completing, higher secondary study in the science stream and who want a seat in a university engineering programme rather than one offered by an affiliated private college. The CUSAT CAT B.Tech case studies are 5 cases and about 3,580 words.
1Cheapest feasible curd cup: when an active height limit overrides the calculus optimum
A dairy cooperative packs curd in open-top cylindrical cups of capacity 500 cm³, filled to the brim so that the container volume is exactly πr²h = 500 cm³. The side wall is thin food-grade polymer sheet costing ₹0.02 per cm², while the circular base must be a thicker laminate costing ₹0.05 per cm²; there is no lid.
677 words, about 3 min2Sampling plan or blame: two vendors and one rejected resistor lot
An electronics assembler buys 200-resistor lots from two vendors. Vendor A's process averages 2.0% defective; Vendor B's averages 5.0%.
690 words, about 3 min3Ammeter–voltmeter method: choosing the circuit before the measurement is made
In a first-year physics laboratory a student must determine an unknown resistance of about 50 Ω using a 6 V battery, a moving-coil ammeter of resistance 2.0 Ω, and a digital voltmeter of resistance 20 kΩ. The manual permits only two circuits.
728 words, about 4 min4Flywheel sizing: mass versus radius at a fixed rim-speed limit
A cycle-share company is prototyping a regenerative braking unit: a solid steel disc of mass 20 kg and radius 0.30 m that spins up to 3000 rpm. The steel is rated so that rim speed must never exceed 100 m/s, and the design team has taken 3000 rpm as the working ceiling.
703 words, about 4 min5Choosing and weighing a buffer that must hold pH at 37 °C, not on the bench
A teaching laboratory must prepare 500 mL of a 0.10 M buffer at pH 7.20 for an enzyme kinetics assay. The enzyme keeps full activity only between pH 6.90 and 7.50, and the assay is later scaled up and run at 37 °C, not at the 25 °C at which the buffer is made up.
782 words, about 4 min