Write time-averaged quanity and when is `(1)/(2)` its values ?

Assertion :- The displacement always equals the product of the average velocity and the time interval. Reason :- The average velocity always equals the mean value of the initial and final velocities.

Define inductance, give its units and write factors on which its value depends.

Give two definitions of mutual inductance, give its units and write factors on which its value depends.

The half life of a radioactive substance is 20 minutes . The approximate time interval (t_(2) - t_(1)) between the time t_(2) when (2)/(3) of it had decayed and time t_(1) when (1)/(3) of it had decay is

Under what condition (s) is the magnitude of average velocity of an object is equal to its average speed ?

If some function say x varies linearly with time and we want to find its average value in a given time interval we can directly find it by (x_(i)+x_(f))/(2) . Here, x_(i) is the initial value of x and x_(f) its final value y co-ordinates of a particle moving in x-y plane at some instant are : x=2t^(2) and y=3//2 t^(2) . The average velocity of particle in at time interval from t=1 s to t=2s is :-

Assertion: The average velocity of a particle is zero in a time interval. It is possible that the instantaneous acceleration is never zero in the interval. Reason: The magnitude of average velocity in an interval is equal to its average speed in that interval.

The velocity- time graph of the particle moving along a straight line is shown. The rate of acceleration and deceleration is constant and it is equal to 5 ms^(-2) . If the average velocity during the motion is 20 ms^(-1) , then the value of t is