In a Streamline flow

The speed of a particle always remains same

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The velocity of a particle always remains same

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The kinetic energy of all the particles arriving at a given point are the same

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The momenta of all the particles arriving at a given point are the same.

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Solution

The correct options are
C
The kinetic energy of all the particles arriving at a given point are the same

D
The momenta of all the particles arriving at a given point are the same.

In the case of steady flow, all the particles passing through a given point follow the same path and we have a unique line of flow passing through a given point called as streamline.
Hence all the particles reaching a given point must have same velocity which in turn means same kinetic energy and momenta. Hence (c)& (d)

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Similar questions

Q. In a streamline flow,
(a) the speed of a particle always remains same
(b) the velocity of a particle always remains same
(c) the kinetic energies of all the particles arriving at a given point are the same
(d) the momenta of all the particles arriving at a given point are the same

Q. A particle is moving in a circular path with uniform speed. Is its kinetic energy same at all points?

Q. Three particles are kept at the three vertices of a right angled triangle as shown:

If each particle starts moving towards the next vertex with the same speed

v

as shown in the figure. Find the velocity of

C O M

at that instant. (Masses of all particles are same)

Three particles starts from origin at tha same time . One along positive x-axis with velocity v₁ second along positive y axis with velocity v₂ and third along the line y=x in such a speed that all three particles will always remain in a straight line , what is the velocity of third particle.

STATEMENT-1 : At two different points on the same stream line in streamline flow, velocity of a particle may be different.
STATEMENT-2 : Pressure and height may be different at two different points on a streamline.

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