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Read the assertion and reason carefully to mark the correct option out of the options given below:
Assertion : Pascal law is the working principle of a hydraulic lift.
Reason : Pressure is equal to thrust per area.
Pascal's law states that when there is an increase in pressure at any point in a confined fluid, there is an equal increase at every other point in the container.A hydraulic lift for automobiles is an example of a force multiplied by hydraulic press, based on Pascal's principle. The fluid in the small cylinder must be moved much further than the distance the car is lifted.
Thrust is the total force acting perpendicular to the surface. The unit of thrust is Newton. The force acting (thrust) per unit area is called pressure.
Both are correct statements but reason is not the correct explanation of assertion .
Assertion : Hydrostatic pressure is a vector quantity.
Reason : Pressure is force divided by area, and force is a vector quantity.
Since due to applied force on liquid, the pressure is transmitted equally in all directions inside the liquid. That is why there is no fixed direction for the pressure due to liquid. Hence hydrostatic pressure is a scalar quantity.
Assertion : A man sitting in a boat which is floating on a pond. If the man drinks some water from the pond, the level of the water in the pond decreases.
Reason : According to Archimedes principle the weight displaced by body is equal to the weight of the body.
The level of water does not change. The reason is that on drinking the water (say m gm), the weight of man increases by m gm and hence water displaced by man increases by m gm, tending to raise the level. However, this much amount of water has already been consumed by the man. Therefore the level of pond remain same.
Assertion : The velocity increases, when water flowing in broader pipe enter a narrow pipe.
Reason : According to equation of continuity, product of area and velocity is constant.
In a stream line flow of a liquid, according to equation of continuity av= constant. Av = constant. Where a is the area of cross section and v is the velocity of liquid flow. When water flowing in a broader pipe enters a narrow pipe, the area of cross-section of water decreases therefore the velocity of water increases.
Assertion : The velocity of flow of a liquid is smaller when pressure is larger and viceversa.
Reason : According to Bernoulli's theorem, for the stream line flow of an ideal liquid, the total energy per unit mass remains constant.
According to Bernoulli's theorem, P + 1/2 Pv2 = a constant i.e. when velocity is large, the pressure is less in a stream line flow of an ideal liquid through a horizontal tube.
Assertion : The size of the needle of a syning controls flow rate better than the thumb pressure exerted by a doctor while administering an injection.
Reason : Flow rate is independent of pressure exerted by the thumb of the doctor.
According to Bernoulli's equation,
Thus, total energy of the injectable medicine depends upon second power of the velocity and first power of the pressure. It implies that total energy of the injectable medicine has greater dependence on its velocity. Therefore, a doctor adjust the flow of the medicine with the help of the size of the needle of the medicine with the help of the size of the needle of the syring a1v1 = a2v2 rather than the thumb pressure.
Assertion : The blood pressure in humans is greater at the feet than at the brain.
Reason : Pressure of liquid at any point is proportional to height, density of liquid and acceleration due to gravity.
Height of the blood column in the human body is more at feet than at the brain. As P=hρg, therefore the blood exerts more pressure at the feet than at the brain.
Assertion : To float, a body must displace liquid whose weight is greater than the actual weight of the body.
Reason : The body will experiences no net downward force, in the case of floating.
Net force = actual weight ? upthrust force = Actual weight ? Weight of liquid displaced. The body will rise above the surface of liquid to such an extent that the weight of the liquid displaced by the immersed part of the body (i.e. upward thrust) becomes equal to the weight of the body. Thus the body will float when upward thrust is more than its actual weight. In this special case the density of solid body is less than the density of liquid.
Assertion : A piece of ice floats in water, the level of water remains unchanged when the ice melts completely.
Reason : According to Archimede's principle, the loss in weight of the body in the liquid is equal to the weight of the liquid displaced by the immersed part of the body.
Since the weight of water displaced by ice is equal to weight of ice. Now when this ice will melt, it will occupy the same volume of mass it has replaced earlier.
Assertion : The velocity of fall of a man jumping with a parachute first increases and then becomes constant.
Reason : The constant velocity of fall of man is called terminal velocity.
As a man jumps-out from a height in air with a parachute, its velocity increases first, because the gravity pull dominates the viscous drag and buoyancy of air which opposes the motion. As the velocity increases, the viscous drag of air also increases and soon a stage is reached where viscous drag and buoyancy of air balances the gravity pull. Then the man with a parachute falls with a constant velocity, called terminal velocity.
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