JEE Mains · Physics · STD 11 - 9.2 surface tension

Given below are two statements : Statement-I: When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary. The contact angle may be \(0^{\circ}\). Statement-II: The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well : In the light of above statement, choose the correct answer from the options given below.

A Statement-\(I\) is false but Statement-\(II\) is true.
B Both Statement-\(I\) and Statement-\(II\) are true.
C Both Statement-\(I\) and Statement-\(II\) are false.
D Statement-\(I\) is true and Statement-\(II\) is false.

Verified Solution

Answer & Solution

Correct Answer

(A) Statement-\(I\) is false but Statement-\(II\) is true.

Step-by-step Solution

Detailed explanation

Capillary rise \(\mathrm{h}=\frac{2 \mathrm{~T} \cos \theta}{\rho \mathrm{gr}} \text {; }\) If \(\theta=0^{\circ}\) then rise is non-zero \(\therefore\) Statement- \(1\) is incorrect. Option\((1)\) is correct

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Match List \(I\) with List \(II\)

LIST\(-I\)	LIST\(-II\)
\((A)\) Torque	\((I)\) \(ML ^{-2} T ^{-2}\)
\((B)\) Stress	\((II)\) \(ML ^2 T ^{-2}\)
\((C)\) Pressure of gradient	\((III)\) \(ML ^{-1} T ^{-1}\)
\((D)\) Coefficient of viscosity	\((IV)\) \(ML ^{-1} T ^{-2}\)

Choose the correct answer from the options given below

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