A 3 volt battery with negligible internal resistance is connected in a circuit as shown in the figure. The current I, in the circuit will be

- 1.5 A
- 1 A
- 2 A
- 1/3 A

The current voltage relation of diode is given by I = (e^{1000V/T} - 1) mA, where the applied voltage V is in volts and the temperature T is in degree Kelvin. If a student makes an error measuring ± 0.01 V while measuring the current of 5 mA at 300 K, what will be the error in the value of current in mA?

- 0.02
- 0.2
- 0.05
- 0.5

Let C be the capacitance of a capacitor discharging through a resistor R. Suppose t_{1} is the time taken for the energy stored in the capacitor to reduce to half its initial value and t_{2} is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio t_{1}/t_{2} will be

- 1/4
- 1/2
- 1
- 2

Capacitance (in F) of a spherical conductor with radius 1 m is

- 10
^{-3} - 1.1 X 10
^{-10} - 9 X 10
^{-9} - 10
^{-6}

A parallel plate capacitor is made of two circular plates separated by a distance of 5 mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is 3 × 10^{4} V/m, the charge density of the positive plate will be close to

- 6 × 10
^{–7}C/m^{2} - 6 × 10
^{4}C/m^{2} - 3 × 10
^{4}C/m^{2} - 3 × 10
^{–7}C/m^{2}

A galvanometer having a coil resistance of 100 Ω gives a full scale deflection, when a current of 1 mA is passed through it. The value of the resistance, which can convert this galvanometer into ammeter giving a full scale deflection for a current of 10 A is:

- 2 Ω
- 0.1 Ω
- 3 Ω
- 0.01 Ω