Question

An object placed 50cm away from an emerging lens of focal length 15cm produce a focus image on a screen calculate the distance between the object and screen ​

Answer 1

The distance between the object and screen can be calculated using the lens formula, which states that:

1/f = 1/u + 1/v

where f is the focal length of the lens, u is the object distance, and v is the image distance.

In this case, the object is placed 50 cm away from the lens, and the focal length of the lens is 15 cm. Let's assume that the image is formed at a distance of v cm from the lens.

Substituting the given values into the lens formula, we get:

1/15 = 1/50 + 1/v

Simplifying this equation, we get:

1/v = 1/15 - 1/50
1/v = (10 - 3) / 150
1/v = 7 / 150

Multiplying both sides by 150, we get:

v = 150 / 7

Therefore, the image is formed at a distance of approximately 21.43 cm from the lens.

The distance between the object and screen is simply the sum of the object distance and image distance:

d = u + v
d = 50 + 21.43
d = 71.43 cm

Therefore, the distance between the object and screen is approximately 71.43 cm.

Answer 2

Certainly! Using the lens formula:

1/f = 1/v - 1/u

where f is the focal length of the lens, v is the distance between the lens and the image, and u is the distance between the lens and the object.

We can rearrange the formula to solve for v:

1/v = 1/f + 1/u

Substituting the values given, we get:

1/15 = 1/v - 1/50

Solving for v, we get:

v = 30cm

Therefore, the distance between the object and the screen is:

u + v = 50cm + 30cm = 80cm

Step-by-step explanation: