A beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 40° with the normal, and the refracted beam make an angle of 26° with the normal. What is the speed of light in the transparent material?

V = 2.05× 10⁸ m/s

Explanation:

We are given;

The angle of the incidence; i = 40°

Angle of refraction; (r) = 26°

For us to find the speed of light in the material, we'll use Snell's law

From shell's law, we know that;

n = sin i/sin r = speed of light in air/Speed of light in the medium

Now, speed of light in air = 3 × 10⁸ m/s

Lets speed of light in medium be V

Thus, plugging in the relevant values to obtain;

Sin 40°/sin 26° = 3×10⁸/V

Let's make V the subject;

V = 3 × 10⁸× sin 26°/sin 40°

V = 2.05× 10⁸ m/s

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.