Physics

The equation of continuity is derived from the law of conservation of mass, stating that mass cannot be created or destroyed in a fluid flow, ensuring mass flow rate remains constant.

After completing two full revolutions around a circle, the body returns to its starting point. Therefore, the displacement, which is the straight-line distance from the initial to the final position, is zero, while the path length is the circumference times two.

In reverse swing, the cricket ball moves towards the rough side rather than the shiny side. This occurs because the airflow behaves differently at high speeds, causing the ball to swing in the opposite direction to conventional swing.

Centripetal force acts perpendicular to the direction of the object's displacement in circular motion, so it does no work on the object.

In circular motion, the linear velocity vector at any point is always tangent to the circle, indicating the direction in which the body is moving at that instant. It is neither along the axis of rotation nor directed towards or away from the center.

When multiplying or dividing measurements, the percentage (or relative) uncertainties are added together to find the combined uncertainty. Absolute uncertainties are not simply added or divided in these operations.

Option B, S = Vit + 1/2 at², is dimensionally correct as it represents displacement (S) as a function of initial velocity (Vi), time (t), and acceleration (a). The other options do not have consistent dimensions on both sides of the equation.

The equation of continuity states that A1V1 = A2V2 = constant, where A is the cross-sectional area and V is the velocity of the fluid. This constant represents the flow rate (volume flow rate), which is the volume of fluid passing through a section per unit time.

A Venturi meter measures the flow speed (velocity) of a fluid by utilizing the pressure difference created by the fluid passing through a constricted section of pipe. It does not directly measure fluid pressure or density.

Venus is the planet that comes closest to Earth during their orbits, making it the nearest planet to Earth on average. Mercury, while closer to the Sun, is not typically the closest planet to Earth.