Block A in the figure shown here hangs by a cord from dynamometer (spring balance) D1 and is submerged in a liquid C contained in beaker B. The mass of beakerr is 1 kg and the mass of liquid is 1.5kg. The readings of dynamometers D1 and D2 of block A is pulled up out of the liquid?

1. D1 will read 5 kg & D2 will also read 5 kg

2. D1 will read 7.5 kg & D2 will read 2.5 kg

3. D1 will read 2.5 kg & D2 will also read 7.5 kg

4. D1 will read 10 kg & D2 will also read 2.5 kg

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A ring is cut from a platinum tube having 8.5cm internal and 8.7 cm extrenal diameter. It is supported horizontally from a pan of a balance so that it comes in contact with the water in glass vessel. If an extra 3.97 gram weight is required to pull it away from water, the durface tension of water is

1. 72.07 dyne per cm

2. 70.80 dyne per cm

3. 65.35 dyne per cm

4.  60.00 dyne per cm

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A number of water droplets each of radius r coalesce to form a drop of radius R. Are consuming the whole of the energy liberated due to  coalescence goes into hitting the drop, the rise and temperature , is

1. 2Tr J

2. 3Tr J

3. 3TJ1r-1R

4. 3TJ1r+1R

 70%
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A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If ρc is the relative density of the material of the shell with respect to water, then the correct statement is that the shell is

1. More than filled if ρc is less than 0.5

2. More than half filled if ρc is less than 1.0

3. Half filled if ρc is less than 0.5

4. Less than half filled if ρc is less than 0.5

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A large tank is filled with water (density= 103 kg/m3). A small hole is made at a depth 10m below water surface. The range of water issuing out of  the hole is R on ground. What extra p[ressure must be applied on the water surface so that the range become 2R (take 1 atm = 105 Pa and g= 10 m/s2)

                          

1. a atm

2. 2 atm

3. 4 atm

4. 3 atm

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When a block of iron floats in mercury at 0°C, a fraction k1 of its volume is submerged, while at 60°C, a fraction k2 is seen to be submerged, If the coefficient of volume expansion of iron is γFe and that of mercury is γHg, then the ratio of k1/k2 can be expressed as

1. 1+60γFe1+60γHe

2. 1-60γFe1+60γHe

3. 1+60γFe1-60γHe

4. 1+60γHg1+60γFe

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The diameter of a big drop of water is 2.8 mm. It is broken into 125 equal drops. If the surface tension of water is 75 dyne/cm, then the work done is

1. zero

2. 19 erg

3. 46 erg

4. 74 erg

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If pressure at half the depth of a lake is equal to 2/3 pressure at the botom of the lake then what is the depth of the lake

1. 10 m

2. 20 m

3. 60 m

4. 30 m

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Acubical block if floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of g3, the fraction of volume immersed in the liquid will be

                            

1. 1/2

2. 3/8

3. 2/3

4. 3/4

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A pump is designed as a horizontal cylinder with a piston area A and an outlet orifice arranged near the axis of the cylinder. Find the velocity of outflow of liquid from pump, if the piston movos with a constant velocity under the action of a constant force F. The density of liquid is ρ

1. FAρ

2. 2FAρ

3. AρF

4. Aρ2F

 60%
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