Explanation

Explanation

Explanation

Hydraulic power systems use fluids to transmit power and motion, and the most common fluids used are:

• Water (in hydraulic systems like water supply networks, fire suppression systems, and hydroelectric power plants)
• Oil (in hydraulic systems like heavy machinery, construction equipment, and industrial manufacturing)
• Non-compressible fluids (like hydraulic fluids, brake fluids, and transmission fluids) that are specifically designed for hydraulic systems.

Explanation

Explanation

Given:

• Radius of the circle$r=4$ meters

• Arc length (distance along the circumference), $s=14$ meters

We are to find the displacement, which is the straight-line distance between the starting and ending points of the arc.

Step 1: Find the angle subtended by the arc at the center (θ in radians):

$$theta = frac{s}{r} = frac{14}{4} = 3.5 , text{radians}$$

Step 2: Use the chord length formula to find displacement:

Displacement=2rsin(θ/2​)
=2×4×sin(3.5/2​)=8×sin(1.75)
sin(1.75radians)≈0.983
$$\text{Displacement}\approx 8\times 0.983\approx 7.864\text{meters}$$

Explanation

Although the Balmer series mainly falls in the visible region, its limiting line (as $n\to \infty$) shifts into the UV region.

Explanation

When a convex lens is cut parallel to the principal axis (i.e., horizontally through the center):

• Each half becomes a smaller lens with the same curvature.

• Focal length remains unchanged because the shape (curvature) and refractive index are the same.

• Only the aperture (light-gathering area) is reduced.

So, even after cutting the lens horizontally, the focal length stays the same.

Explanation

The Kinetic Molecular Theory (KMT) is associated with James Clerk Maxwell. 

Explanation

Explanation

Motion occurs when a body changes its position relative to another body or its surroundings.

It can be described in terms of displacement, velocity, and acceleration.