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Questions

Physics

In a series L-R circuit (L = 35 mH and R = 11

), a variable emf source (V = V₀ sin

t) of V_rms = 220 V and frequency 50 Hz is applied. Find the current amplitude in the circuit and phase of current with respect to voltage. Draw current-time graph on given graph (

= 22/7)

Chemistry

The intermediate during the addition of HCl to propene in the presence of peroxide is

(a)

CH₃CHCH₂Cl

(b)

CH₃⁺CHCH₃

(c)

CH₃CH₂CH₃

(d)

CH₃CH₂⁺CH₂

Mathematics

P₁ and P₂ are planes passing through origin. L₁ and L₂ are two line on P₁ and P₂ respectively such that their intersection is origin. Show that there exists points A, B, C, whose permutation A', B', C' can be chosen such that (i) A is on L₁, B on P₁ but not on L₁ and C not on P₁ (ii) A' is on L₂, B' on P₂ but not on L₂ and C' not on P₂.

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