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MHT CET202519 Apr 2025Morning ShiftPhysicsMechanical Properties of FluidsActual

A liquid rises to a height of 2.4 cm in a glass capillary P . Another glass capillary Q having diameter 80% of capillary P is immersed in the same liquid. The rise of liquid in capillary Q is

Options

  1. A2.4 ~cm
  2. B3.4 ~cm
  3. C3 cm
  4. D2.5 ~cm

Correct answer

C. 3 cm

Step-by-step solution

The capillary rise height is given by h = 2T g r , where the surface tension T , contact angle , density , and gravity g remain constant for the same liquid and material. Consequently, h 1 r or equivalently h 1 d , since d = 2r . Given h_P = 2.4~ cm for capillary P and d_Q = 0.8 d_P for capillary Q, the proportionality yields h_Q h_P = d_P d_Q . Substituting known values, h_Q 2.4 = d_P 0.8 d_P = 1 0.8 . Solving, h_Q = 2.4 1.25 = 3.0~ cm . Final answer: 3~ cm

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