WB JEE 2017 | Properties of Matter Question 27 | Physics

A uniform capillary tube of length l and inner radius r with its upper end sealed is submerged vertically into water. The outside pressure is p₀ and surface tension of water is $$\gamma$$. When a length x of the capillary is submerged into water, it is found that water levels inside and outside the capillary coincide. The value of x is

$${l \over {\left( {1 + {{{p_0}r} \over {4\gamma }}} \right)}}$$

$$\left( {1 - {{{p_0}r} \over {4\gamma }}} \right)$$

$$\left( {1 - {{{p_0}r} \over {2\gamma }}} \right)$$

$${l \over {\left( {1 + {{{p_0}r} \over {2\gamma }}} \right)}}$$

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

A liquid of bulk modulus k is compressed by applying an external pressure such that its density increases by 0.01%. The pressure applied on the liquid is

$${k \over {10000}}$$

$${k \over {1000}}$$

1000 k

0.01 k

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

A solid rectangular sheet has two different coefficients of linear expansion $$\alpha$$₁ and $$\alpha$$₂ along its length and breadth respectively. The coefficient of surface expansion is (for $$\alpha$$₁ t << 1, $$\alpha$$₂t < <1)

$${{{\alpha _1} + {\alpha _2}} \over 2}$$

$$2({\alpha _1} + {\alpha _2})$$

$${{4{\alpha _1}{\alpha _2}} \over {{\alpha _1} + {\alpha _2}}}$$

$${\alpha _1} + {\alpha _2}$$

WB JEE 2016

MCQ (Single Correct Answer)

-0.25

A gas bubble of 2 cm diameter rises through a liquid of density 1.75 g cm^$$-$$3 with a fixed speed of 0.35 cms^$$-$$1. Neglect the density of the gas. The coefficient of viscosity of the liquid is

870 poise

1120 poise

982 poise

1089 poise

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