The output $(X)$ of the logic circuit shown in the figure will be:

If $X$ is a Poisson variate such that $\alpha = P(X=1) = P(X=2)$,then $P(X=4)$ is equal to

If there is an error of $\pm 0.04 \text{ cm}$ in the measurement of the diameter of a sphere, then the approximate percentage error in its volume, when the radius is $10 \text{ cm}$, is

Which of the following statements is $NOT$ correct?

In the circuit shown here,$E_1 = E_2 = E_3 = 2 \, V$ and $R_1 = R_2 = 4 \, \Omega$. The current flowing between points $A$ and $B$ through battery $E_2$ is

Two soap bubbles of radii $r_1 = 4 \, cm$ and $r_2 = 5 \, cm$ are touching each other over a common surface $S_1S_2$ (as shown in the figure). The radius of curvature of this common surface will be ....... $cm$.