Water rises in a vertical capillary tube up to a length of 10 cm. If the tube is inclined at 45

step 1 We are given a capillary tube and water rises in the capillary tube or the liquid rises in the c

Water rises in a vertical capillary tube up to a length of...

Water rises in a vertical capillary tube up to a length of $10 \mathrm{~cm}$. If the tube is inclined at $45^{\circ}$, the length of water arisen in the tube will be
(A) $10 \sqrt{2} \mathrm{~cm}$
(B) $10 \mathrm{~cm}$
(C) $10 / \sqrt{2} \mathrm{~cm}$
(D) None of these

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Key Concepts

Capillary Action

Capillary action is the phenomenon by which a liquid in a narrow tube rises or falls due to the balance between adhesive forces (between the liquid and the tube's wall) and cohesive forces (within the liquid) against the force of gravity. This concept explains why liquids can climb up a small-diameter tube.

Geometric Projection

When the tube containing the rising liquid is inclined, the observed length of the liquid along the tube increases relative to the vertical height. This is due to the geometric projection where the vertical component of the length is the product of the full length and the cosine of the angle of inclination.

Surface Tension

Surface tension is the force acting at the interface of a liquid and its surrounding, responsible for the minimization of the surface area. It plays a crucial role in capillary action by helping the liquid to climb up the walls of a narrow tube against gravity.

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