A source of sound emits sound waves at frequency \( f_0 \). It is moving towards an observer with fixed speed \( v_s \) (\( v_s < v \), where \( v \) is the speed of sound in air). If the observers were to move towards the source with speed \( v_0 \), one of the following two graphs (A and B) will give the correct variation of the frequency \( f \) heard by the observer as \( v_0 \) changes.
An ideal gas is taken through the cycle \( A \to B \to C \to A \), as shown in the figure. If the net heat supplied to the gas in the cycle is 5 J, the work done by the gas in the process \( C \to A \) is
A series L-C-R circuit is connected to an AC source of 220V and 50 Hz shown in figure. If the readings of the three voltmeters \( V_1, V_2, \) and \( V_3 \) are 65V, 415V, and 204V respectively, the value of inductance and capacitance will be
From the following \( p-V \) diagram, an ideal gas undergoing a change of state from A to B. Four different processes I, II, III, and IV as shown in the figure may lead to the same change of state.
A regular hexagon of side \( m \), which is a wire of length 24 m, is coiled on that hexagon. If current in hexagon is \( I \), then the magnetic moment is
Which of the following gate gives the similar output as the output of the circuit diagram shown in the figure?
In the network shown in figure, the equivalent capacitance between points P and Q is
If the derivative of the function \( f(x) = \begin{cases} b x^2 + ax + 4; & x \geq -1 \\ a x^2 + b; & x < -1 \end{cases} \) is everywhere continuous, then
