Two non-mixing liquids of densities ρ and nρ(n>1) are put in a container. The height of each liquid is h. A solid cylinder  floats with its axis vertical and length pL p<1 in the denser liquid. The density of the cylinder is d. The density d is equal to:

1. {2+(n+1)p}ρ             

2. {2+(n-1)p}ρ

3. {1+(n-1)p}ρ             

4. {1+(n+1)p}ρ

Subtopic:  Archimedes' Principle |
 60%
From NCERT
NEET - 2016
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The approximate depth of an ocean is 2700 m. The compressibility of water is 45.4 x 10-11 Pa-1 and density of water is 103kg/m3. What fractional compression of water will be obtained at the bottom of the ocean?

(1)0.8x10-2

(2)1.0x10-2 

(3)1.2x10-2  

(4)1.4x10-2 

Subtopic:  Pressure |
 68%
From NCERT
NEET - 2015
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A wind with speed \(40~\text{m/s}\) blows parallel to the roof of a house. The area of the roof is \(250~\text{m}^2\). Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be: \(\left(\rho_{\text{air}}= 1.2~\text{kg/m}^3 \right)\)
1. \(4.8\times 10^{5}~\text{N}, ~\text{downwards}\)
2. \(4.8\times 10^{5}~\text{N}, ~\text{upwards}\)
3. \(2.4\times 10^{5}~\text{N}, ~\text{upwards}\)
4. \(2.4\times 10^{5}~\text{N}, ~\text{downwards}\)

Subtopic:  Bernoulli's Theorem |
 64%
From NCERT
NEET - 2015
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The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. If the speed of the liquid in the tube is v, then the speed of ejection of the liquid through the holes will be:
1. vR2/n2r2

2. vR2/nr2

3. vR2/n3r2

4. v2R/nr

Subtopic:  Equation of Continuity |
 81%
From NCERT
NEET - 2015
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The heart of a man pumps 5 L of blood through the arteries per minute at a pressure of 150 mm of mercury. If the density of mercury is \(13.6\times 10^3\)kg/m3 and g =10 m/s2, then the power of heart in watt is:
1. 1.70
2. 2.35
3. 3.0
4. 1.50

Subtopic:  Pressure |
 53%
From NCERT
NEET - 2015
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Water rises to a height h in capillary tube . If the length of capillary tube above the surface of water is made less than h, then

(1) water rises upto the tip of capillary tube and then starts overflowing like a fountain

(2) water rises upto the top of capillary tube and stays there without overflowing

(3) water rises upto a point a little below the top and stays there

(4) water does not rise at all

Subtopic:  Capillary Rise |
 75%
From NCERT
NEET - 2015
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A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V. If T is the surface tension of the liquid, then:\(\text { Energy }=4 V T\left(\frac{1}{r}-\frac{1}{R}\right) \text { is released } \)

1. Energy = \(4 V T\left(\frac{1}{r}-\frac{1}{R}\right)\) is released 2. Energy =\(3 V T\left(\frac{1}{r}+\frac{1}{R}\right)\)  is released
3. Energy =\(3 V T\left(\frac{1}{r}-\frac{1}{R}\right)\) is released 4. Energy is neither released nor absorbed

Subtopic:  Surface Tension |
 65%
From NCERT
NEET - 2014
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An engine pumps water continuously through a hose. Water leaves the hose with a velocity \(v\) and \(m\) is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?
1. 12mv3                                   

2. mv3

3. 12mv2                                   

4. 12m2v2

Subtopic:  Bernoulli's Theorem |
 67%
From NCERT
NEET - 2009
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Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is \(36\) g and its density is \(9\) g/cm3. If the mass of the other is \(48\) g, its density in g/cm3 will be:
1. 43                                         

2. 32

3. \(3\)                                           

4. \(5\)

Subtopic:  Archimedes' Principle |
 50%
From NCERT
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An inverted bell lying at the bottom of a lake 47.6 m deep has 50 cm3 of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be (atmospheric pressure = 70 cm of Hg and density of Hg = 13.6 g/cm3
(1) 350 cm3                               

(2) 300 cm3

(3) 250 cm3                               

(4) 22 cm3

Subtopic:  Pressure |
 57%
From NCERT
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