Three capacitors 3µF, 6 µF and 6 µF are connected in series to a source of 120 V. The potential difference, in volt, across the 3µF capacitor will be

An ammeter and a voltmeter of resistance R are connected in series to an electric cell of negligible internal rsistance. Their reading are A and V respectively. If another resistance R is connected in parallel with the voltmeter, then

The neutral point on potentiometer's scale for two cells of emf 2.1 and E volt is observed at distances 40 cm and 56 cm respectively. The value of E is

If in a ∆ABC , a = 6 cm , b = 8 cm , c = 10 cm, then the value of sin 2A is

If the lines x + 3y - 9 = 0, 4x + by - 2 = 0 and 2x - y - 4 = 0 are concurrent, then b is equal to

A current of 5 A is flowing at 220 V in the primary coil of a transformer. If the voltage produced in the secondary coil is 2200 V and 50% of power is lost, then the current in secondary will be

Two parallel rails of a railways track insulated from each other and with the ground are connected to a millivoltmeter. The distance between the rails is 1 m A train is travelling with a velocity of 72 km-h^-1 along the track. The reading of the millivoltmeter (in mV) is (Vertical component of the earth's magnetic induction is 2 × 10^-5 T)

Three solenoid coils of same dimension, same number of turns and same number of layers of winding are taken. Coil 1 with inductance L₁ was wound using a Mn wire of resistance 11 Ωm^-1, coil 2 with inductance L₂ was wound using the similar wire but the direction of winding was reversed in each layer, coil 3 with inductance L₃ was wound using a superconducting wire. The self inductance of the coils L₁, L₂ and L₃ are

If the equation λx² + (2λ - 3)y² - 4x - 1 = 0 represents a circle, then its radius is