AP EAPCET 2022 4TH JULY MORNING SHIFT

The number of radial nodes and angular nodes of a \(4 f\)-orbital are respectively

Let \(f: R^{+} \longrightarrow R^{+}\) be a function satisfying \(f(x)-x=\lambda\) (constant), \(\forall x \in R^{+}\) and \(f(x f(y))=f(x y)+x, \forall x, y, \in R^{+}\). Then, \(\lim _\limits{x \rightarrow 0} \frac{(f(x))^{1 / 3}-1}{(f(x))^{1 / 2}-1}=\)

If \(N_A, N_B\) and \(N_C\) are the number of significant figures in \(A=0.001204 \mathrm{~m}, B=43120000 \mathrm{~m}\) and \(C=1.200 \mathrm{~m}\) respectively, then

Equal volumes of 0.5 N acetic acid and 0.5 N sodium acetate are mixed. What is the pH of resultant solution? (\(\mathrm{p} K_a\) of acetic acid \(=4.75\))

$$i z^3+z^2-z+i=0 \Rightarrow|z|=$$

A car covers a distance at speed of \(60 \mathrm{~km} \mathrm{~h}^{-1}\). It returns and comes back to the original point moving at a speed of \(v\). If the average speed for the round trip is \(48 \mathrm{~kmh}^{-1}\), then the magnitude of \(v\) is