The pressure in a liquid at two points in the same horizontal plane are equal. Consider an elevator accelerating upward and a car accelerating on a horizontal road. The above statement is correct in
(a) the car only
(b) the elevator only
(c) both of them
(d) neither of them
Answers
Answer ⇒ Option (b). Elevator only.
Explanation ⇒ Let us deal with both the cases separately.
Case I (Elevator) ⇒ Let there are two points A and B is horizontal plane of vessel at an height of h from top of vessel in accelerating elevator.
When elevator is moving upward, then, net acceleration will be 'a + g'
Thus, Pa = P₀ + hρ (a + g)
Similarly, Pb = P₀ + hρ (a + g)
Thus, we can see that pa = Pb.
Hence, given statement of question is valid in elevator.
Case II (Car) ⇒ Let there are two points A and B is horizontal plane of vessel at an height of h from top of vessel in accelerating car.
Let acceleration of car be 'a'. This means, pseudo force will be acting opp.
We can write,
Pa × A + ma = Pb × A, where A is the imaginary cross-section of imaginary cylinder which we have drawn in vessel.
(Pb - Pa)A = ma
Pb - Pa = ρha
Now, we can say that ρ ≠ h ≠ a ≠ 0
Thus, Pb ≠ Pa
Hence, given statement will not be valid in car accelerating horizontally.
Hope it helps.
When the liquid is compressed horizontally, the two places in a certain horizontal line do not apply equal pressure.
Explanation:
When the liquid is compressed horizontally, the two places in a certain horizontal line do not apply equal pressure. The movement will be vertical.
therefore, option (b) is correct.
Pressure:- Pressure is known as the exertion of physical force on an object. That force applied to the objects is perpendicular to the surface per unit area.
Acceleration:- Acceleration is a quantity of vectors which is defined as the rate at which an object changes its velocity. An object accelerates when its velocity is changing.
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