Kochi Entrance Science case studies
Kochi Entrance Science · Put your knowledge to work in context.
The Kochi University Entrance Examination (Science) is the science-stream entrance assessment used by Kochi University for applicants to its science-related faculties. It is intended for high-school graduates and equivalent applicants who need a science result for admission, and it is taken alongside the national standardized test and the university's own application documents. The Kochi Entrance Science case studies are 5 cases and about 3,454 words.
1Block on a Rough Incline: Checking the Static Case Before Using F = ma
Block A, of mass 2.0 kg, rests on a rough plane inclined at 30° to the horizontal; the coefficients of friction between A and the plane are μs = 0.40 and μk = 0.25. A light inextensible string runs from A up the slope, parallel to the incline, over a frictionless pulley fixed at the top, and hangs vertically to block B of mass 1.5 kg.
741 words, about 4 min2Terminal Voltage and the Parallel-Cell Misconception
A battery of EMF 12.0 V and internal resistance 0.50 Ω feeds a network consisting of a 6.0 Ω resistor in parallel with a 3.0 Ω resistor, and this parallel combination in series with a 2.0 Ω resistor. An ideal voltmeter is connected across the battery terminals.
665 words, about 3 min3Haber Equilibrium: Three Proposed Changes That Do Not All Work
In a rigid 2.0 dm³ steel vessel held at 700 K, an equilibrium mixture contains 0.50 mol N₂, 1.00 mol H₂ and 1.00 mol NH₃ according to N₂(g) + 3H₂(g) ⇌ 2NH₃(g), ΔH = −92 kJ mol⁻¹. Under these conditions Kc = 8.0 when concentrations are expressed in mol dm⁻³.
685 words, about 3 min4An Autosomal Recessive Diagnosis: Conditional Probability in Genetic Counselling
A couple, both unaffected, have a son diagnosed with an autosomal recessive metabolic disorder; enzyme testing confirms that each parent carries one pathogenic allele. The mother is pregnant again, and the couple also have a healthy daughter aged four.
651 words, about 3 min5Largest Rectangle in a Parabolic Arch
A designer is fitting a rectangular glass panel inside a parabolic arch whose inner edge is modelled by y = 9 − x² for −3 ≤ x ≤ 3, with x and y measured in metres and the ground at y = 0. The panel's base rests on the ground and its two upper corners touch the arch, so the panel is symmetric about the y-axis.
712 words, about 4 min