Match the following elements with their respective blocks in the periodic table:
The resistance of a wire is \(2.5 \Omega\) at a temperature \(373 K\). If the temperature coefficient of resistance of the material of the wire is \(3.6 \times 10^{-3} K^{-1}\), its resistance at a temperature \(273 K\) is nearly:
The standard electrode potentials \( E^\circ (V) \) for \( Li^+/Li \), \( Na^+/Na \) respectively are:
(1) −3.04, −2.714(2) −2.714, −3.04(3) −3.04, −3.04(4) −2.714, −2.714
The maximum value of the function \[ f(x) = 3\sin^{12}x + 4\cos^{16}x \] is ?
The variation of volume of an ideal gas with its number of moles (\( n \)) is obtained as a graph at 300 K and 1 atm pressure. What is the slope of the graph?
If \[ \int e^x (x^3 + x^2 - x + 4) \, dx = e^x f(x) + C, \] then \( f(1) \) is:
For a first-order reaction, the graph between \( \log \frac{a}{(a - x)} \) (on y-axis) and time (in min, on x-axis) gave a straight line passing through the origin. The slope is \( 2 \times 10^{-3} \) min\(^{-1}\). What is the rate constant (in min\(^{-1}\))?
At high pressure and regulated supply of air, methane is heated with catalyst ‘X’ to give methanol and with catalyst ‘Y’ to give methanal. \( X \) and \( Y \) respectively are:
The Brewster angle for air to glass transition of light is (Refractive index of glass = \( 1.5 \)
