For the given reactionsSn2+ + 2e– → SnSn4+ + 4e– → Snthe electrode potentials are;\(E^{∘}_{Sn^{2+}/Sn}=−0.140V \) and \(E^{∘}_{Sn^{4+}Sn} =−0.010 V.\)The magnitude of standard electrode potential for \(Sn^{4+}/Sn^{2+}\) i.e.\(E^{∘}_{Sn^{4+}/Sn^{2+}}\)is _________ × 10–2 V. (Nearest integer)
A meter bridge setup is shown in the figure. It is used to determine an unknown resistance R using a given resistor of 15 Ω. The galvanometer (G) shows null deflection when tapping key is at 43 cm mark from end A. If the end correction for end A is 2 cm, then the determined value of R will be ___ Ω.
If for p ≠ q ≠ 0, the function\(f(x) = \frac{{^{\sqrt[7]{p(729 + x)-3}}}}{{^{\sqrt[3]{729 + qx} - 9}}}\)is continuous at x = 0, then
Let f(x) = [2x2 + 1] and \(g(x)=\left\{\begin{matrix} 2x-3,\,x<0&\\2x+3, x≥0 &\end{matrix}\right.\)where [t] is the greatest integer ≤ t. Then, in the open interval (–1, 1), the number of points where fog is discontinuous is equal to _______.
The ratio of specific heats
\((\frac{c_p}{c_v}) \)
in terms of degree of freedom (f) is given by:
The sum of all the elements of the set {α ∈ {1, 2, …, 100} : HCF(α, 24) = 1} is
If α, β are the roots of the equation\(x^2-(5+3^{\sqrt{log_35}}-5^{\sqrt{log_53}})+3(3^{(log_35)^{\frac{1}{3}}}-5^{(log_53)^{\frac{2}{3}}}-1) = 0\)then the equation, whose roots are α + 1/β and β + 1/α , is
The equations of the sides AB, BC and CA of a triangle ABC are 2x + y = 0, x + py = 15a and x – y = 3, respectively. If its orthocentre is\((2, a),−\frac{1}{2}<a<2 \)then p is equal to _______.
Let \(x = \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix}\) and \(A = \begin{bmatrix} -1 & 2 & 3 \\ 0 & 1 & 6 \\ 0 & 0 & -1 \end{bmatrix}\)For k ∈ N, if X’AkX = 33, then k is equal to ____ .
Let \(S=\left\{θ∈[0,2π]:8^{2sin^2θ}+8^{2cos^2θ}=16\right\}\) .Then\(n(S) + \sum_{\theta \in S}\left( \sec\left(\frac{\pi}{4} + 2\theta\right)\cosec\left(\frac{\pi}{4} + 2\theta\right)\right)\)is equal to :
