Kinematics

A full-wave rectifier inverts every half-cycle of the AC input signal, effectively doubling the frequency of the input AC signal.
Therefore, if the input frequency is 50 Hz, the output frequency of a full-wave rectifier will be:

Let the speed of the man be , the speed of the escalator be , and the total distance covered be .
Step 1: On the stationary escalator, the man walks a distance in time seconds. So, the speed of the man is: Step 2: On the moving escalator, the man walks with a combined speed , where is the man's speed and is the escalator's speed. The time taken in this case is seconds. Therefore: Step 3: Substituting into the equation: Solving for : Step 4: The total speed on the moving escalator is: Thus, the time taken to cover the distance is: Therefore, the correct answer is 16 seconds, i.e., option B.

Step 1: Determine the total distance fallen in 5 seconds.
Using the formula for distance travelled under gravity: Step 2: Determine the distance fallen in the first 3 seconds. Step 3: Calculate the distance in the last two seconds.

Given:
Density of oil,
Density of water,
Rise in water level on one side,
Step 1: Determine the height of the oil column The pressure at the bottom of the U-tube must be the same on both sides.
Therefore, the pressure due to the oil column must balance the pressure due to the water column. Step 2: Calculate the difference in height The oil level will stand higher than the water level by: However, considering the rise in water level on the other side, the total difference in height is: Final Answer: 12.50 cm

Given the relation: Square both sides to eliminate the square root: Differentiate both sides with respect to time : We know that (velocity) and (acceleration). Substituting these values: Divide both sides by : Thus, the acceleration of the particle is 4 ms .
Final Answer: 4 ms