Answer

Verified

54.3k+ views

**Hint:**In this question the rod of length is sliding horizontally on the frictional surface. The velocity of one end that is A is given. We need to find the velocity of the other end that is B in which angle is given. First find the angle of A and then find the velocity.

**Complete step by step answer:**

The rod is sliding on a horizontal frictionless surface then the gravity will be in downward and uniform. The force of friction is exerted by the object and the inclined plane is each other which is parallel to the surface of the plane but the normal force is perpendicular to the plane.

At the position A the angle is ${60^0}$then it becomes, ${V_A}\cos {60^0}$

At position B the angle is ${30^0}$, then we need to find the velocity at the end B

So,

$ \Rightarrow $ \[{V_A}\cos {60^0} = {V_B}\cos {30^0}\]…………(1)

The value of ${V_A}$ is $4$$m/s$

Substitute ${V_A}$ in the equation (1)

Then we get,

$ \Rightarrow $ $4 \times \cos {60^0} = {V_B} \times \cos {30^0}$

The value of $\cos {60^0} = \dfrac{1}{2}$ ,

And the value of $\cos {30^0} = \dfrac{{\sqrt 3 }}{2}$

If we substitute the value we get,

$ \Rightarrow $ $4 \times \dfrac{1}{2} = {V_B} \times \dfrac{{\sqrt 3 }}{2}$

$ \Rightarrow $ $2 = {V_B} \times \dfrac{{\sqrt 3 }}{2}$

$ \Rightarrow $ ${V_B} = 2 \times \dfrac{2}{{\sqrt 3 }}$

$ \therefore $ ${V_B} = \dfrac{4}{{\sqrt 3 }}$

The velocity of end B is $\dfrac{4}{{\sqrt 3 }}$$m/s$

**So therefore option (D) is correct.**

**Note:**If you put a grease into the kitchen sink, the grease all sticks inside the pipe and if you put the food particle it will stick into the grease and water backs up behind the blockage so all the pipes are in a frictionless coating.

Recently Updated Pages

Why do we see inverted images in a spoon class 10 physics JEE_Main

A farsighted man who has lost his spectacles reads class 10 physics JEE_Main

State whether true or false The outermost layer of class 10 physics JEE_Main

Which is not the correct advantage of parallel combination class 10 physics JEE_Main

State two factors upon which the heat absorbed by a class 10 physics JEE_Main

What will be the halflife of a first order reaction class 12 chemistry JEE_Main

Other Pages

The angle between the hands of a clock when the ti-class-11-maths-JEE_Main

Electric field due to uniformly charged sphere class 12 physics JEE_Main

when an object Is placed at a distance of 60 cm from class 12 physics JEE_Main

The nitride ion in lithium nitride is composed of A class 11 chemistry JEE_Main

The resultant of vec A and vec B is perpendicular to class 11 physics JEE_Main

If a wire of resistance R is stretched to double of class 12 physics JEE_Main