The E and G respectively denote energy and gravitational constant, then $${E \over G}$$ has the dimensions of :

An inductor of inductance L, a capacitor of capacitance C and a resistor of resistance 'R' are connected in series to an ac source of potential difference 'V' volts as shown in figure. Potential difference across L, C and R is 40V, 10V and 40V, respectively. The amplitude of current flowing through LCR series circuit is 10$$\sqrt 2 $$ A. The impedance of the circuit is :

A body is executing simple harmonic motion with frequency 'n', the frequency of its potential energy is :

A thick current carrying cable of radius 'R' carries current 'I' uniformly distributed across its cross section. The variation of magnetic field B(r) due to the cable with the distance 'r' from the axis of the cable is represented by :