GATE CY 2020 Question Paper (01-Feb-2020) (Shift 2)

In an NMR spectrometer operating at a magnetic field strength of 16.45 T, the resonance frequency (in MHz, rounded off to one decimal place) of ¹⁹F nucleus is ______

(Given: g factor of ¹⁹F = 5.255; β${}_N$ = 5.05 x 10⁻²⁷ J T⁻¹; h = 6.626 x 10⁻³⁴ J s)

When three moles of helium is mixed with one mole of neon at constant temperature and pressure (25 °C, 1 atm), the entropy of mixing (in J K⁻¹, rounded off to two decimal places) is ______

(Given: R = 8.314 JK⁻¹ mol⁻¹)

At 25 °C, the emf (in volts, rounded off to three decimal places) of the cell, Ag | AgBr(s) | Br (a = 0.20), Cu²⁺ (a = 0.48), Cu⁺ (a = 0.24) | Pt is ______

(Given: The standard emf of the cell is 0.082 V; R = 8.314 J K⁻¹ mol⁻¹ F = 96500 C mol⁻¹)

For an enzyme-catalyzed reaction, the plot of inverse of initial rate against the inverse of initial substrate concentration is linear with slope 0.16 s and intercept 2.12 mol⁻¹L s. The estimated value of Michaelis constant (in mol L⁻¹, rounded off to two decimal places) is ______

Fluorescence quantum yield and fluorescence lifetime of a molecule are 0.4 and 5 × 10⁻⁹ s, respectively. If the fluorescence decay rate constant is Y × 10⁷ s⁻¹, the value of Y (rounded off to nearest integer) is ______