Q. A motor engine pumps 1800 litre of water per minute from a well of depth 30 m and allows to pass through a pipe of cross sectional area $30 \; cm^2$. Then the power of the engine is
(Acceleration due to gravity = $10 \; ms^{-2}$)

AP EAMCET AP EAMCET 2019

20.5 kW

15.5 kW

10.5 kW

9.5 kW

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Questions from AP EAMCET 2019

1. Two particles P and Q each of mass 3m lie at rest oil the X-axis at points $(-a. 0)$ and $(+a,0)$ respectively. A third particle R of mass 2m initially at the origin moves towards particle Q. If all the collisions of the system of 3 particles are elastic and head-on. the total number of collisions in the system is

2. A solid sphere of mass 100 kg and radius 10 m moving in a space becomes a circular disc of radius 20 m in one hour. Then the rate of change of moment of inertia in the process is

3. A semicircular plate of mass 'm' has radius ‘r’ and centre 'c'. The centre of mass of the plate is at a distance 'x' from its centre 'c'. Its moment of inertia about an axis passing through its centre of mass and perpendicular to its plane is

4. Two bodies of masses $m_1$ and $m_2$ initially at rest at infinite distance apart move towards each other under gravitational force of attraction. Their relative velocity of approach when they are separated by a distance 'r' is
(G-Universal gravitational constant)

5. A planet is revolving around the sun as shown in the figure. The radius vectors joining the sun and the planet at points A and B are $90 \times 10^6$ km and $60 \times 10^6$ km respectively. Hie ratio of velocities of the planet at A and B when its velocities make $30^{\circ}$ and $60^{\circ}$ with major axis of the orbit is

6. A solid copper cube of 7 cm edge is subjected to a hydraulic pressure of 8000 kPa. The volume contraction of the copper cube is
(Bulk modulus of copper =140 GPa)

7. A long cylindrical glass vessel has a pin hole of diameter 0.2 mm at its bottom. The depth to which the vessel can be lowered vertically in a deep water bath without the water entering into the vessel is
(Surface tension of water = $0.07 \; Nm^{-1}$ . Acceleration due to gravity = $10 \; ms^{-2} $)

8. The focal length of a spherical minor made of steel is 150 cm. If the temperature of the minor increases by 200 K. its focal length becomes
(coefficient of linear expansion of steel = $12 \times 10^{-6} {^{\circ}}C^{-1}$)

9. A metal rod of length 10 cm and area of cross section $2.8 \times 10^{-4} \; m^2$ is covered with a nonconducting substance. One end of it is maintained at $80 \; {^{\circ}C}$. while the other end is put in ice at $0 \; {^{\circ}C}$. It is found that 20 g of ice melts in 5 min. The thermal conductivity of the metal in $J \; s^{-1} \; m^{-1} \; K^{-1}$ is
(Latent heat of ice is 80 cal $g^{-1}$)

10. A gas expands with temperature according to the relation $V = kT^{2/3}$. where A'is a constant. Work done when the temperature changes by 60 K is (R-Universa 1 gas constant)

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Q. A motor engine pumps 1800 litre of water per minute from a well of depth 30 m and allows to pass through a pipe of cross sectional area $30 \; cm^2$. Then the power of the engine is (Acceleration due to gravity = $10 \; ms^{-2}$)