Two identical springs, one of spring factor `k_1` and other of spring factor `k_2` are first connected in parallel and then in , series with same rigid support. Deduce the spring constant, when a body of weight mg is connected to each of combination.

Two springs of spring constants k_1 and k_2 are stretched by the same force. First spring undergoes more extension than the second one. In which of the two springs, energy stored will be maximum?

Two springs are joined and connected to a mass m . If the spring force constants are k_1 and k_2 show that the frequency of oscillation of mass m is

Two conducting wires of the same material and of equal length and equal diameters are first connected in series and then in parallel in an electric circuit. The ratio of heat produced in series and parallel combination would be (a) 1:2 (b)2:1 (c)1:4(d)4:1

A rectangular coil of area 5.0xx10^(-4) m^2 and 60 turns is pivoted about one of its vertical sides. The coil is in a radial horizontal field of 90 G (radial here means the field liners are in the plane of the coil for any rotation). What is the torsional constant of the hair spring connected to the coil if a current of 2.0 mA produces an angular deflection of 18^@ ?

Two identical cells, whether joined together in series or in parallel give the same current, when connected to an external resistance of 1Omega . Find the internal resistance of each cell.

Two identical capacitors, have the same capacitance C. One of them is charged to potential V_1 and the other V_2 . The negative ends of the capacitors are connected together. When the poistive ends are also connected, the decrease in energy of the combined system is

A galvanometer, together with an unknown resistance in series, is connected across two identical batteries of each 1.5 V. When the batteries are connected in series,the galvanometer records a current of 1 A, and when the batteries are connected in parallel, the current is 0.6 A. In this case, the internal resistance of the battery

Two cells of emf 1V and 2V and internal resistance 2 ohm and 1 ohm are connected first in series then in parallel. what should be the external resistance in the circuit so that the current through the resistance be the same in the two cases?

Two cells, E_(1) and E_(2) of emfs 4 V and 8 V having internal resistances 0.5 Omega and 1.0 Omega respectively are connected in opposition to each other. This combination is connected in opposition to with resistance of 4.5 Omega and 3.0 Omega . Another resistance of 6 Omega is connected in parallel across the 3 Omega resistor. Draw the circuit diagram