One main scale division of a vernier callipers is 'a' cm and n^th division of the vernier scale coincide with (n $$-$$ 1)^th division of the main scale. The least count of the callipers in mm is :

A conducting bar of length L is free to slide on two parallel conducting rails as shown in the figure


Two resistors R₁ and R₂ are connected across the ends of the rails. There is a uniform magnetic field $$\overrightarrow B $$ pointing into the page. An external agent pulls the bar to the left at a constant speed v.

The correct statement about the directions of induced currents I₁ and I₂ flowing through R₁ and R₂ respectively is :

The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen and 44 g of carbon dioxide at absolute temperature T. Consider R as universal gas constant. The pressure of the mixture of gases is :

The value of power dissipated across the zener diode (V_z = 15V) connected in the circuit as shown in the figure is x $$\times$$ 10^$$-$$1 watt.


The value of x, to the nearest integer, is __________.