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Concave spherical mirror forms 40 the centimetreofreal image of an object whose height is 10 centimetre the radius of the mirror is 60 cm find the distance from the object to its image?
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Concave spherical mirror forms 40 the centimetreofreal image of an obj...
**Given Information:**
- Object height (h) = 10 cm
- Radius of the mirror (R) = 60 cm
- Image height (h') = 40 cm (real and positive)
- Distance from the object to its image (d)

**Analysis:**
To find the distance from the object to its image, we can use the mirror formula for concave mirrors:

1/f = 1/v - 1/u

where:
- f is the focal length of the mirror
- v is the distance of the image from the mirror (positive for real images)
- u is the distance of the object from the mirror (positive for objects in front of the mirror)

We need to find the value of "d", which is the distance from the object to its image. This can be calculated by subtracting the distance of the image from the mirror (v) from the distance of the object from the mirror (u).

**Calculation:**

**Focal Length (f):**
The focal length of a spherical mirror can be calculated using the formula:

f = R/2

where R is the radius of the mirror. In this case, R = 60 cm.

f = 60/2 = 30 cm

**Distance of the Object (u):**
As the object is placed in front of the mirror, the distance of the object from the mirror (u) will be negative. We can calculate the value of "u" using the mirror formula:

1/f = 1/v - 1/u

1/30 = 1/40 - 1/u

1/u = 1/40 - 1/30

1/u = (3 - 4)/120

1/u = -1/120

u = -120 cm

**Distance of the Image (v):**
The distance of the image from the mirror (v) is given as 40 cm.

v = 40 cm

**Distance from Object to Image (d):**
The distance from the object to its image can be calculated by subtracting the distance of the image from the mirror (v) from the distance of the object from the mirror (u).

d = u - v

d = -120 cm - 40 cm

d = -160 cm

Since the distance is negative, it means that the image is formed on the same side as the object.

**Conclusion:**
The distance from the object to its image is -160 cm. The negative sign indicates that the image is formed on the same side as the object.
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Concave spherical mirror forms 40 the centimetreofreal image of an obj...
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