When an object and screen are separate d by 1m distance. when a convex lens is place d at 30 cm from the object it forms a clear image then the image distance is?

To determine the image distance formed by a convex lens when the object and screen are separated by a 1m distance, we can use the lens formula:

1/f = 1/v - 1/u

Where:
- f is the focal length of the lens
- v is the image distance
- u is the object distance

Given:
- The convex lens is placed at a 30 cm (0.3 m) distance from the object
- The total separation between the object and screen is 1 m (1.0 m)

First, let's find the object distance (u):
u = 1.0 m - 0.3 m
u = 0.7 m

Now, we can substitute the values into the lens formula and solve for v:
1/f = 1/v - 1/u

Since we are not given the focal length (f) of the lens, we cannot determine the exact image distance (v) without this information. Please provide the focal length of the convex lens to calculate the image distance accurately.