Question

a concave mirror produces 3 times magnified real Image of its object at ten cm in front of it where is the real image located . find using mirror formula​

Answer 1

Given that, a concave mirror produces 3 times magnified real Image of its object at 10 cm.

Height of image (hi) = 3 × (Height of object i.e. ho)

hi = 3 × ho

Also, object distance (u) from the mirror = -10 cm

We have to find the image distance (v) from the mirror.

Now,

m = -v/u = hi/ho

Here, m = magnification

Substitute the known values

⇒ -v/(-10) = hi/ho

⇒ v/10 = (3 × ho)/ho

⇒ v/10 = 3

Multiple with 10 on both sides

⇒ v/10 × 10 = 3 × 10

⇒ v = 30

Therefore, the image is located 30 cm away from the concave mirror.

Answer 2

Given:-

A concave mirror produces 3 times magnified real image of its object at ten cm in front of it.

object is 10 cm from the concave mirror.

To find:-

The position of the real image from the mirror.

Solution:-

If the image is real, so the magnification is negative.

⇒v/u = hi/ho = -3

⇒u = -10 cm

⇒v = -3*-10                  

⇒$\boxed{\bold{v = 30 cm}}$

Therefore, the image is located 30 cm away from the concave mirror.

NOTE:-

• Object size is not required here to consider for finding the image distance.
• If magnification is given along with image distance or object distance, then mirror formula is not required to formulate to find image distance or object distance.