for the same value of an angle of an incidence of reflaction in three media A,B and C are 15 degree, 25 degree and 35degree respectively. in which medium would the velocity of light be menimum
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There is no such word as "reflaction".
The angles of incidence and reflection are always equal. If you are talking about refraction angles, they are NOT equal to incidence angles.
Your question does not make sense as you have written it.
If the angles af indidence are equal for light beams entering the three media A, B, and C, coming from air or vacuum, and the angles of refraction are 15, 25 and 35 degrees respectively, then medium A has the highest refractive index and the lowest speed of light.
To determine in which medium the velocity of light would be minimum, we need to apply Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the velocities of light in the two media.
The equation for Snell's Law is:
n₁ * sin(θ₁) = n₂ * sin(θ₂)
Where:
- n₁ and n₂ are the refractive indices of the two media.
- θ₁ and θ₂ are the angles of incidence and refraction, respectively.
We can rearrange the equation to solve for the velocity of light in the medium:
v = c / n
Where:
- v is the velocity of light in the medium.
- c is the speed of light in a vacuum.
- n is the refractive index of the medium.
In this case, we want to find the medium with the minimum velocity of light, which means we need to find the medium with the highest refractive index (since n is in the denominator of the equation).
Given that the angles of incidence and refraction in media A, B, and C are 15°, 25°, and 35°, respectively, we just need to compare the refractive indices of these media.
Assuming the angle of incidence is the same in all three media:
- For media A, the angle of incidence is 15°.
- For media B, the angle of incidence is 25°.
- For media C, the angle of incidence is 35°.
Generally, the refractive index increases as the angle of incidence increases. Therefore, based on the given information, the medium with the minimum velocity of light would be medium A, since it has the smallest angle of incidence (15°).
However, it is important to note that the refractive index of a medium is dependent on various factors such as temperature, wavelength, and the composition of the medium. So, this explanation is based on the assumption that the refractive indices provided for media A, B, and C are constant and valid under the given conditions.