1 e V = _______ J.

1 kWh = ___J

A circuit consists of three batteries of emf E_1 = 1 V, E_2 = 2 V and E_3 = 3 V and internal resistances 1Omega, 2 Omega and 1 Omega respectively which are connected in parallel as shown in the figure. The potential difference between points P and Q is

If vec e_1, vec e_2, vec e_3a n d vec E_1, vec E_2, vec E_3 are two sets of vectors such that vec e_idot vec E_j=1,ifi=j and vec e_idot vec E_j=0a n difi!=j , then prove that [ (vec e_1, vec e_2 ,vec e_3)][ (vec E_1, vec E_2, vec E_3) ]=1.

An electron (mass m) with an initial velocity vec(V) = v_(0) hat(i) is in an electric field vec(E) = E_(0) hat(j) . If lamda_(0) = (h)/(mv_(0)) , its de Broglie wavelength at time t is given by

The radius of a planet is double than that of the earth but their average densities are the same. If the escape velocities of the planet and the earth are v_p and v_e respectively, then prove that v_p=2v_e .

Given : E_(Cr^(3+)|Cr)^(@)=-0.74V, E_(MnO_(4)^(-)|Mn^(2+))^(@)=1.51V E_(Cr_(2)O_(7)^(2-)|Cr^(3+))^(@)=1.33V, E_(Cl|Cl^(-))^(@)=1.36V Based on the data, strongest oxidising agent -

Using the data find out the strongest reducing agent - E_(Cr_(2)O_(7)^(2-)|Cr^(+))^(@)=+1.33V, E_(Cl_(2)|Cl^(-))^(@)=+1.36V E_(MnO_(4)^(-)|Mn^(2+))^(@)=+1.51V, E_(Cr^(2+)|Cr)^(@)=-0.74V

Show that E= A//v where E, A, V used are in usual meaning?

Statement 1: The inverse of singular matrix A=([a_(i j)])_(nxxn), \ w h e r e \ a_(i j)=0,igeqj \ i s \ B=([a i j^-1])_(nxxn) . Statement 2: The inverse of singular square matrix does not exist.

From kinetic theory of gases prove that the pressure of a gas p= 2E//3V , where V=1 molar volume E=kinetic energy.