Aconvex lens with focal length 9 cm forms an image of an object placed 21 cm to the left of the lens. what is the distance to the image formed?

15.75 cm

Explanation:

focal length of convex lens, f = + 9 cm

position of object, u = - 21 cm

Let the distance of image is v.

Use lens equation

1 / f = 1 / v - 1 / u

1 / 9 = 1 / v + 1 / 21

1 / v = 1 / 9 - 1 / 21 = (21 - 9) / (21 x 9)

1 / v = 12 / 189

v = 15.75 cm

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.