Verified Solution • 2025–26 Session moderate

QNEET-2016-Ph-1163: NEET 2016 Physics - Class 11 NEET-2016-Ph-1163 Solution: Three liquids of densities \( _1 _2\) and \( _3\) (with \( _1 > …

Three liquids of densities ρ1ρ2\rho_1 \rho_2 and ρ3\rho_3 (with ρ1>ρ2>ρ3\rho_1 > \rho_2 > \rho_3) having the same value of surface tension T rise to the same height in three identical capillaries. The angles of contact θ1θ2\theta_1 \theta_2 and θ3\theta_3 obey π2>θ1>θ2>θ3≥0\frac{\pi}{2} > \theta_1 > \theta_2 > \theta_3 \ge 0 0≤θ1<θ2<θ3<π20 \le \theta_1 < \theta_2 < \theta_3 < \frac{\pi}{2} π2<θ1<θ2<θ3<π\frac{\pi}{2} < \theta_1 < \theta_2 < \theta_3 < \pi π>θ1>θ2>θ3>π2\pi > \theta_1 > \theta_2 > \theta_3 > \frac{\pi}{2}

Multiple Choice Options

  • A {\pi \over 2} &gt; {\theta _1} &gt; {\theta _2} &gt; {\theta _3} \ge 0 2 � _ > _ 1 _ > _ 2 _ > _ 3 _ � 0
  • B 0 ≤\le � θ\theta _ 1 < θ\theta _ 2 < θ\theta _ 3 < π2{\pi \over 2} 2 � _
  • C {\pi \over 2} &lt; {\theta _1} &lt; {\theta _2} &lt; {\theta _3} &lt; \pi 2 � _ < _ 1 _ < _ 2 _ < _ 3 _ < �
  • D \pi &gt; {\theta _1} &gt; {\theta _2} &gt; {\theta _3} &gt; {\pi \over 2} � > _ 1 _ > _ 2 _ > _ 3 _ > 2 � _

Step-by-Step Verified Solution

Capillary rise, h = 2 T cos _ _ r _ g For given value of T and r , h _ cos _ _ _ Also, h 1 = h 2 = h 3 or cos _ _ 1 _ 1 = cos _ _ 2 _ 2 = cos _ _ 3 _ 3 Since, _ 1 > _ 2 > _ 3 , so cos _ _ 1 > cos _ _ 2 > cos _ _ 3 For 0 � _ < � 2 , _ 1 < _ 2 < _ 3 Hence, 0 � _ 1 < _ 2 < _ 3 < � 2

Related Learning Resources & Exam Preparation

NEET PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring