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NEET NEET Questions — Free MCQ Practice

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Two capillary tubes of same diameter are put vertically one each in two liquids whose relative densities are 0.8 and 0.6 and surface tensions are 60 and 50 dyne/cm respectively Ratio of heights of liquids in the two tubes $\frac{h_{1}}{h_{2}}$ is

A.

$\frac{10}{9}$

B.

$\frac{3}{10}$

C.

$\frac{10}{3}$

D.

$\frac{9}{10}$

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Explanation

(d) Ascent formula $h = \frac{2 Tcosθ}{rdg}$

$\Rightarrow \frac{h_{1}}{h_{2}} = \frac{T_{1}}{T_{2}} \times \frac{d_{2}}{d_{1}}$ (r, $θ$ and g are constants)

$= \frac{60}{50} \times \frac{0.6}{0.8} = \frac{9}{10}$

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Water rises in a vertical capillary tube upto a height of 2.0 cm . If the tube is inclined at an angle of $60 °$ with the vertical, then upto what length the water will rise in the tube ?

A.

2.0 cm

B.

4.0 cm

C.

$\frac{4}{\sqrt{3}} cm$

D.

$2 \sqrt{2} cm$

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Explanation

(b) $l = \frac{h}{cosθ} = \frac{2}{\cos 60 °} = 4.0 cm$

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The surface tension for pure water in a capillary tube experiment is

A.

$\frac{ρg}{2 hr}$

B.

$\frac{2}{ρghr}$

C.

$\frac{rρg}{2 h}$

D.

$\frac{hrρg}{2}$

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Explanation

(d) $T = \frac{rhdg}{2 cosθ}$ . For pure water $θ = 0 °$ so $T = \frac{rhdg}{2}$

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Kerosene oil rises up the wick in a lantern

A.

Due to surface tension of the oil

B.

The wick attracts the kerosene oil

C.

Of the diffusion of the oil through the wick

D.

None of the above

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Explanation

(a) Kerosene oil rises up the wick in a lantern due to the surface tension of the oil.

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Water rises against gravity in a capillary tube when its one end is dipped into water because

A.

Pressure below the meniscus is less than atmospheric pressure

B.

Pressure below the meniscus is more than atmospheric pressure

C.

Capillary attracts water

D.

Of viscosity

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Explanation

(a)

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A capillary tube of radius R is immersed in water and water rises in it to a height H. Mass of water in the capillary tube is M. If the radius of the tube is doubled, mass of water that will rise in the capillary tube will now be

A.

M

B.

2M

C.

M/2

D.

4M

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Explanation

(b)

$Initial mass of liquid in the tube, M = {πR}^{2} H \times ρ When radius is doubled, As height of liquid α \frac{1}{radius} \Rightarrow Final height of liquid = \frac{H}{2} Final mass of liquid = π (2 R)^{2} \frac{H}{2} \times ρ = 2 M$

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There is a horizontal film of soap solution. On it, a thread is placed in the form of a loop. The film is pierced inside the loop and the thread becomes a circular loop of radius R. If the surface tension of the loop be T, then what will be the tension in the thread ?

A.

${πR}^{2} / T$

B.

${πR}^{2} T$

C.

$2 πRT$

D.

$2 RT$

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A large number of water drops each of radius r combine to have a drop of radius R. If the surface tension is T and the mechanical equivalent of heat is J, then the rise in temperature will be

A.

$\frac{2 T}{rJ}$

B.

$\frac{3 T}{RJ}$

C.

$\frac{3 T}{J} (\frac{1}{r} - \frac{1}{R})$

D.

$\frac{2 T}{J} (\frac{1}{r} - \frac{1}{R})$

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Explanation

$Volume of n small drops = Volume of large drop . n \frac{4}{3} {πr}^{3} = \frac{4}{3} {πR}^{3} {nr}^{3} = R^{3} Change in surface area ∆ A = n 4 {πr}^{2} - 4 {πR}^{2} = 4 π ({nr}^{2} - R^{2}) Reduction in surface energy = T \cdot ∆ A = T 4 π ({nr}^{2} - R^{2}) = T 4 π (\frac{R^{3}}{r} - R^{2}) = T 4 {πR}^{3} [\frac{1}{r} - \frac{1}{R}] Heat \Rightarrow Q = \frac{W}{J} = \frac{T \cdot 4 {πR}^{3}}{J} [\frac{1}{r} - \frac{1}{R}] Q = ms ∆ T \frac{T \cdot 4 {πR}^{3}}{J} [\frac{1}{r} - \frac{1}{R}] = 1 \times \frac{4}{3} {πR}^{3} \times 1 \times ∆ T ∆ T = \frac{3 T}{J} [\frac{1}{r} - \frac{1}{R}]$

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One kilogram of ice at $0 °$ C is mixed with one kilogram of water at 80 $° C$ . The final temperature of the mixture is (Take: Specific heat of water = 4200 J $k g^{- 1} k^{- 1}$ , Latent heat of ice = 336 kJ $k g^{- 1}$ )

A.

$0 °$ C

B.

$50 ° C$

C.

$40 ° C$

D.

$60 ° C$

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The fastest mode of heat transfer is

A.

Conduction

B.

Radiation

C.

Convection

D.

all are equally fast

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Explanation

In radiation, heat is transferred by electromagnetic waves, which have the fastest speed, so it is the fastest mode of heat transmission.

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