For a plane mirror, the focal length is ……..
Step 1: Understanding Focal Length
The focal length (\( f \)) of a mirror is related to its radius of curvature (\( R \)) by the formula: \[ f = \frac{R}{2} \] where:
- \( f \) is the focal length,
- \( R \) is the radius of curvature.
Step 2: Plane Mirror as a Special Case
- A plane mirror can be considered as a spherical mirror with an infinite radius of curvature.
- That is, for a plane mirror: \[ R = \infty \]
Step 3: Final Calculation
Substituting \( R = \infty \) in the focal length formula: \[ f = \frac{\infty}{2} = \infty \] Thus, the focal length of a plane mirror is infinity.
The refractive index of glass is 1.6 and the speed of light in glass will be ……… . The speed of light in vacuum is \( 3.0 \times 10^8 \) ms\(^{-1}\).
Consider a refracting telescope whose objective has a focal length of 1m and the eyepiece a focal length of 1cm, then the magnifying power of this telescope will be ……..
For a thin prism, if the angle of the prism is \( A \) with a refractive index of 1.6, then the angle of minimum deviation will be …….
A ray coming from an object which is situated at zero distance in the air and falls on a spherical glass surface (\( n = 1.5 \)). Then the distance of the image will be ………. \( R \) is the radius of curvature of a spherical glass.}
If the value of \( \cos \alpha \) is \( \frac{\sqrt{3}}{2} \), then \( A + A = I \), where \[ A = \begin{bmatrix} \sin\alpha & -\cos\alpha \\ \cos\alpha & \sin\alpha \end{bmatrix}. \]