The equivalent resistance between points \(A\) and \(B\) in the given network is ............ \(\Omega\)

The parameter that remains the same for molecules of all gases at a given temperature is _______.

Two coils, \(X\) and \(Y\), are kept in close vicinity of each other. When a varying current, \(I(t)\), flows through coil \(X\), the induced emf \((V(t))\) in coil \(Y\), varies in the manner shown here. The variation of \(I(t)\); with time, can then be represented by the graph labelled as graph

Two blocks with masses 100 g and 200 g are attached to the ends of springs A and B as shown in figure. The energy stored in A is E . The energy stored in B , when spring constants \(k _{ A }, k _{ B }\) of A and \(B\), respectively satisfy the relation \(4 k _{ A }=3 k _{ B }\), is :

The time period of a satellite of earth is \(24\) hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become \(.......\,hours\)

A rocket has to be launched from each in such a way that it never returns. If \(E\) is the minimum energy delivered by the rocket launcher, what should be the minimum energy that the launcher should have if the same rocket is to be launched from the surface of the moon ? Assume that the density of the earth and the moon are equal and that the earth’s volume is \(64\) times the volume of the moon.

Two cells of emfs \(1\) V and \(2\) V and internal resistance \(2\,\Omega\) and \(1\,\Omega\), respectively connected in parallel, gave a current of \(1\) A through an external resistance. If the polarity of one cell is reversed, then value of current through the external resistance will be \(\dfrac{\alpha}{5}\) A. The value of \(\alpha\) is __________.

The value of power dissipated across the zener diode \(\left( V _{ z }=15 V \right)\) connected in the circuit as shown in the figure is \(x \times 10^{-1}\) watt.  The value of \(x ,\) to the nearest integer, is ..............

When a potential difference \(V\) is applied across a wire of resistance \(R\), it dissipates energy at a rate \(W\). If the wire is cut into two halves and these halves are connected mutually parallel across the same supply, the same supply, the energy dissipation rate will become what?