The variations of kinetic energy \( K \), potential energy \( U \), and total energy \( E \) as a function of displacement of a particle in SHM is shown in the figure. The value of \( x_3 \) is
A metallic sphere of radius \( R \) carrying a charge \( q \) is kept at a certain distance from another metallic sphere of radius \( R_4 \) carrying a charge \( Q \). What is the electric flux at any point inside the metallic sphere of radius \( R \) due to the sphere of radius \( R_4 \)?
You are given a dipole of charge \( +q \) and \( -q \) separated by a distance \( 2l \). A sphere 'A' of radius \( R \) passes through the centre of the dipole as shown below and another sphere 'B' of radius \( 2R \) passes through the charge \( +q \). Then the electric flux through the sphere A is
Charges are uniformly spread on the surface of a conducting sphere. The electric field from the center of the sphere in a point outside the sphere varies with distance \( r \) from the center as
Match Column-I with Column-II related to an electric dipole of dipole moment \( \vec{p} \) that is placed in a uniform electric field \( \vec{E} \):
In the following circuit, the terminal voltage across the cell is
Two cells of emf \( E_1 \) and \( E_2 \), and internal resistances \( r_1 \) and \( r_2 \), respectively, are connected in parallel as shown in the figure. The equivalent emf of the combination is \( E_{\text{eq}} \). Then
Which of the following statement(s) is/are correct about the given compound?
Identify 'P' and 'Q' in the following reaction
The major product 'P' and 'Q' in the above reactions are
As per the following equation, 0.217 g of HgO (molecular mass = 217 g mol$^{-1}$) reacts with excess iodide. On titration of the resulting solution, how many mL of 0.01 M HCl is required to reach the equivalence point?
Consider the following gas phase dissociation, PCl$_5$(g) $\rightleftharpoons$ PCl$_3$(g) + Cl$_2$(g) with equilibrium constant K$_p$ at a particular temperature and at pressure P. The degree of dissociation ($\alpha$) for PCl$_5$(g) is PCl$_5$(g) $\rightleftharpoons$ PCl$_3$(g) + Cl$_2$(g)
Arrange the following compounds in order of their increasing acid strength
