Given-

Capacitance of the capacitor, C = 1.42 nF
Dielectric constant, k = 4
Voltage of the battery connected, V = 6 V

a)The charge supplied by the battery is given by-

We know from definition of capacitance, charge q on capacitor is given by -

q=CV

Where C= capacitance and V = applied voltage.

⇒

1)

b) The charge induced on the dielectric –

We know, the induced polarization charge on a dielectric material is given by-

Where,

q_p = polarized charge

q = charge on the capacitance

k = dielectric constant

2)

c)The net charge appearing on one of the coated plates –

The net charge appearing will be the charge on the plat minus the charge on dielectric material

From 1) and 2)

=