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Q.28 Match the entries in Group I with those in Group II Group I Group II P) Proline 1) Artificial sweetener Q) Oxytocin 2) Cyclic amino acid R) Aspartame 3) […]

Q.27 The achiral molecules among the following (I, II, III and IV) are (A) I and III (B) II and IV (C) III and IV (D) I and IV The […]

Q.26 Match the entries in Group I (Mechanical system) with analogous quantities in Group II (Electrical system) Group I Group II P) Mass 1) Current Q) Spring constant 2) Voltage […]

Q.25 A 30 μF capacitor is connected to a 240 V, 50 Hz source. If the frequency of the source is changed from 50 Hz to 200 Hz, the capacitive […]

Q.24 Which one of the following shows the CORRECT relationship among velocity of light in a medium (\( v \)), permittivity of medium (\( \varepsilon \)) and magnetic permeability of […]

Q.23 Nucleus of a radioactive material can undergo beta decay with half life of 4 minutes. Suppose beta decay starts with 4096 nuclei at \( t = 0 \), the […]

Q.22 The area of an equilateral triangle with sides of length \( \alpha \) is (A) \( \frac{\sqrt{3}}{4} \alpha^2 \) (B) \( \frac{\sqrt{3}}{2} \alpha^2 \) (C) \( \frac{1}{2} \alpha^2 \) […]

Q.21 What is the solution of \( \int \frac{x}{x^2 \ln x} \, dx \)? Given \( C \) is an arbitrary constant. (A) \( \frac{x^3}{3} \ln x – \frac{x^3}{9} + […]

Q.20 The number of three letter words, with or without meaning, which can be formed using letters of the word ‘VIRUS’ without repetition of letters is (A) 30 (B) 40 […]

Q.19 If φ(x) = x² and ψ(x) = 2x, then ψ(φ(x)) is (A) 2x² (B) x² (C) 2²x (D) x²x The correct answer is (A) 2x². ψ(φ(x)) represents the composition of […]