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Java Program for focal length of a spherical mirror

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  • Difficulty Level : Basic
  • Last Updated : 06 Dec, 2018

Focal length is the distance between the center of the mirror to the principal foci. In order to determine the focal length of a spherical mirror we should know the radius of curvature of that mirror. The distance from the vertex to the center of curvature is called radius of curvature.

The focal length is half the radius of curvature.
Formula :

F =   ( R / 2 )      for concave mirror
F = - ( R / 2 )      for convex mirror

Examples :

For a convex mirror
Input : R = 30 
Output : F = 15


For a convex mirror
Input : R = 25
Output : F = - 12.5




// Java program to determine
// the focal length of a
// of a spherical mirror
import java.util.*;
import java.lang.*;
  
public class GfG{
    // Determines focal length
    // of a spherical concave
    // mirror
    public static float focal_length_concave(float R)
    {
        return R / 2 ;
    }
  
    // Determines focal length of a 
    // spherical convex mirror
    public static float focal_length_convex(float R)
    {
        return - ( R / 2 ) ;
    }
      
    // Driver function
    public static void main(String argc[])
    {
        float R = 30 ;
          
        System.out.print("Focal length of" +
                         "spherical concave"+
                         "mirror is : "+
                         focal_length_concave(R) +
                         " units\n");
                          
        System.out.println("Focal length of"+
                           "spherical convex"
                           "mirror is : "+
                           focal_length_convex(R) + 
                           " units");
    }
}
  
/* This code is contributed by Sagar Shukla */

Output:

Focal length ofspherical concavemirror is : 15.0 units
Focal length ofspherical convexmirror is : -15.0 units

Please refer complete article on Program to determine focal length of a spherical mirror for more details!


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