Q.6. Let $A=\left[-1,1\right]$ , Then, discuss whether the following functions defined on  $A$ are one-one, onto, or bijective:

(i)  $f\left(x\right)=\frac{x}{2}$

(ii)  $g\left(x\right)=\left|x\right|$

(iii)  $h\left(x\right)=x\left|x\right|$

(iv)  $k\left(x\right)=x^2$ .

Two 10cm log, straight wires, each carrying a current of 5A are kept parallel to each other. If each wire experienced a force of 10^-5N, then separation between the wires is__________cm.

The positive feedback is required by an amplifier to act an oscillator. The feedback here means:

The variation of acceleration due to gravity (g) with distance (r) from the centre of the earth is correctly represented by: (Given R = radius of earth)

A transistor is used in an amplifier circuit in common emitter mode. If the best current changes by 100   $\mu A,$ it brings a change of 10 mA is collector current. If the load resistance is 2 $k\Omega$  and input resistance is 1 $k\Omega ,$  the value of power gain is x × 10⁴. The value of x is_____________.

The typical transfer characteristics of a transistor in CE configuration is shown in figure. A load resistor of $2k\Omega$ is connected in the collector branch of the circuit used. The input resistance of the transistor is $0.50k\Omega .$ The voltage gain of the transistor is________.