For the given circuit, in the steady state, $\left| V _{ B ^{-}}- V _{ D }\right|=$___$V$
Two parallel plate capacitors $C_1$ and $C_2$ each having capacitance of $10 \mu F$ are individually charged by a $100 V D C$ source Capacitor $C_1$ is kept connected to the source and a dielectric slab is inserted between it plates Capacitor $C_2$ is disconnected from the source and then a dielectric slab is inserted in it Afterwards the capacitor $C_1$ is also disconnected from the source and the two capacitors are finally connected in parallel combination The common potential of the combination will be ___$V$(Assuming Dielectric constant $=10$ )
A series $LCR$ circuit consists of $R =80 \Omega, X _{ L }=100 \Omega$, and $X _{ C }=40 \Omega$. The input voltage is 2500 $\cos (100 \pi t ) V$. The amplitude of current, in the circuit, is ___$A$
The displacement equations of two interfering waves are given by\(y_1=10 \sin \left(\omega t+\frac{\pi}{3}\right)\) cm , \(y_2=5[\sin \omega t+\sqrt{3} \cos \omega t]\) cm respectively.The amplitude of the resultant wave is ___ cm
If the binding energy of ground state electron in a hydrogen atom is $136 eV$, then, the energy required to remove the electron from the second excited state of $Li ^{2+}$ will be : $x \times 10^{-1} eV$. The value of $x$ is
Two discs of same mass and different radii are made of different materials such that their thicknesses are 1 cm and 0.5 cm respectively. The densities of materials are in the ratio 3:5. The moment of inertia of these discs respectively about their diameters will be in the ratio of \(\frac{x}{6}\). The value of x is ____.
A ball is dropped from a height of $20 m$ If the coefficient of restitution for the collision between ball and floor is $0.5$, after hitting the floor, the ball rebounds to a height of ___$m$
A water heater of power $2000 W$ is used to heat water. The specific heat capacity of water is $4200 J$ $kg ^{-1} K ^{-1}$ .The efficiency of heater is $70 \%$ .Time required to heat $2 kg$ of water from $10^{\circ} C$ to $60^{\circ} C$ is___$ s$(Assume that the specific heat capacity of water remains constant over the temperature range of the water)
