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There is a small air bubble at the centre of a solid glass sphere of radius ‘r’ and refractive index ‘Ω‘. What will be the apparent distance of the bubble from the centre of the sphere, when viewed from outside?

(A) r

(B) r/μ

(C) r(1 – 1/μ)

(D) Zero

Silver chloride dissolves in excess of ammonium hydroxide solution. The cation present in the resulting solution is 

(A) [Ag(NH₃)₆]⁺ 

(B) [Ag(NH₃)₄]⁺ 

(C) Ag⁺ 

(D) [Ag(NH₃)₂]⁺

A compound formed by elements X and Y crystallizes in the cubic structure, where X atoms are at the corners of a cube and Y atoms are at the centres of the body. The formula of the compound is : 

(A) XY 

(B) XY₂ 

(C) X₂Y₃ 

(D) XY₃

If f : R → R be defined by f(x) = ex and g : R → R be defined by g(x) = x². The mapping gof : R → R be defined by (gof)(x) = g[f(x)] ∀ x ∈ R, Then 

(A) gof is bijective but f is not injective 

(B) gof is injective and g is injective 

(C) gof is injective but g is not bijective 

(D) gof is surjective and g is surjective

The number of selection of n objects from 2n objects of which n are identical and the rest are different is 

(A) 2ⁿ 

(B) 2^{n – 1} 

(C) 2^{n – 1} 

(D) 2^{n –1} + 1

Which one of the following is a condensation polymer? 

(A) PVC 

(B) Teflon 

(C) Dacron 

(D) Polystyrene

The correct order of reactivity for the addition reaction of the following carbonyl compounds with ethylmagnesium iodide is

(A) I > III > II > IV 

(B) IV > III > II > I 

(C) I > II > IV > III 

(D) III > II > I > IV

If Young’s double slit experiment is done with white light, which of the following statements will be true? 

(A) All the bright fringes will be coloured. 

(B) All the bright fringes will be white. 

(C) The central fringe will be white. 

(D) No stable interference pattern will be white.

Which of the set of oxides are arranged in the proper order of basic, amphoteric, acidic?

(A) SO₂, P₂O₅, CO 

(B) BaO, Al₂O₃, SO₂ 

(C) CaO, SiO₂, Al₂O₃ 

(D) CO₂, Al₂O₃, CO

Which of the following statement(s) is/are true ? “Internal energy of an ideal gas ………………” 

(A) decreases in an isobaric process. 

(B) remains constant in an isothermal process. 

(C) increases in an isobaric process. 

(D) decreases in an isobaric expansion.