Explanation:
Given that,
Number of slits per cm,
The third fringe is obtained at an angle of,
We need to find the wavelength of light used. The grating equation is given by :
, n = 3
So, the wavelength of the light is 400 nm. Hence, this is the required solution.
Answer:
The speed is
Explanation:
From the question we are told that
The length of the rod is
The induced emf is
The magnetic field is
Generally the speed is mathematically represented as
=>
=>
Answer:
ω = 2.1 rad/sec
Explanation:
- As the rock is moving along with the merry-go-round, in a circular trajectory, there must be an external force, keeping it on track.
- This force, that changes the direction of the rock but not its speed, is the centripetal force, and aims always towards the center of the circle.
- Now, we need to ask ourselves: what supplies this force?
- In this case, the only force acting on the rock that could do it, is the friction force, more precisely, the static friction force.
- We know that this force can be expressed as follows:
where μs = coefficient of static friction between the rock and the merry-
go-round surface = 0.7, and Fn = normal force.
- In this case, as the surface is horizontal, and the rock is not accelerated in the vertical direction, this force in magnitude must be equal to the weight of the rock, as follows:
- Fn = m*g (2)
- This static friction force is just the same as the centripetal force.
- The centripetal force depends on the square of the angular velocity and the radius of the trajectory, as follows:
- Since (1) is equal to (3), replacing (2) in (1) and solving for ω, we get:
- This is the minimum angular velocity that would cause the rock to begin sliding off, due to that if it is larger than this value , the centripetal force will be larger that the static friction force, which will become a kinetic friction force, causing the rock to slide off.
Absolutely not. You can have a piece of wood and water with the same dimensions, but dimensions Won't matter
That's a true statement ... not a question.
When the kinetic energy of an object changes, energy
may be transferred either to or from the object.