GATE CY format:nat PYQs & Answers — Page 8 — Exam Papers

Questions 71–80 of 166. Imported answers require independent review unless marked reviewed.

Topic practice 166 questionsPage 8 of 17

A 5 V battery delivers a steady current of 1.5 A for a period of 2 h. The total charge that has passed through the circuit is ______ Coulombs.

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The spin-only magnetic moment of [Co(H₂O)₆]²⁺ (rounded off to one decimal place) is ______ BM.

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The number of photons emitted per nanosecond by a deuterium lamp (400 nm) having a power of 1 microwatt (rounded off to the nearest integer) is ______. [h = 6.626 × 10⁻³⁴ kg m² s⁻¹; c = 3.0 × 10⁸ m s⁻¹]

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Given the initial weight of 1 mg of radioactive ⁶⁰₂₇Co (half-life = 5.27 years), the amount disintegrated in 1 year (rounded off to two decimal places) is ______ mg.

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The de Broglie wavelength of an argon atom (mass = 40 amu) traveling at a speed of 250 m s⁻¹ (rounded off to one decimal place) is ________ picometers. [N = 6.022 × 10²³; h = 6.626 × 10⁻³⁴ kg m² s⁻¹]

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The molar absorption coefficient of a substance dissolved in cyclohexane is 170 L mol⁻¹ cm⁻¹ at 500 nm. The reduction in intensity of light of the same wavelength that passes through a cell of 1 cm path length containing a 2 mol L⁻¹ solution (rounded off to one decimal place) is _________%.

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The fundamental vibrational frequency of ¹H¹²⁷I is 2309 cm⁻¹. The force constant for this molecule (rounded off to the nearest integer) is _____ N m⁻¹. [N = 6.022 × 10²³, c = 3.0 × 10⁸ m s⁻¹]

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A laser Raman spectrometer operating at 532 nm is used to record the vibrational spectrum of Cl₂ having its fundamental vibration at 560 cm⁻¹. The Stokes line corresponding to this vibration will be observed at ______ cm⁻¹. (Rounded off to the nearest integer)

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The vapor pressure of toluene (Mol. Wt. = 92) is 0.13 atm at 25 °C. If 6 g of a hydrocarbon is dissolved in 92 g of toluene, the vapor pressure drops to 0.12 atm. The molar mass of the hydrocarbon (rounded off to the nearest integer) is ________.

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The reaction

CO (g) + Cl₂ (g) ⇌ COCl₂ (g)

at 500 °C, with initial pressures of 0.7 bar of CO and 1.0 bar of Cl₂, is allowed to reach equilibrium. The partial pressure of COCl₂ (g) at equilibrium is 0.15 bar. The equilibrium constant for this reaction at 500 °C (rounded off to two decimal places) is ______________.

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