GATE CY 2021 Question Paper (06-Feb-2021) (Shift 1)

Given the initial weight of 1 mg of radioactive $\frac{60}{27}$ 𝐂𝐨 (half-life = 5.27 years), the amount disintegrated in 1 year (rounded off to two decimal places) is _______mg.

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 ]

The molar absorption coefficient of a substance dissolved in cyclohexane is 1710 L mol⁻¹ cm⁻¹ at 500 nm. The reduction in the intensity of light of the same wavelength that passes through a cell of 1 mm path length containing a 2 mmol L⁻¹ solution (rounded off to one decimal place) is ___________%.

The fundamental vibrational frequency of¹H¹²⁷I 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]

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)