Question 6 of 29intermediate🔧 ApplyNumerical2 marks

A concave mirror produces three times magnified (enlarged) real image of an object placed at 10 cm in front of it. Where is the image located?

Correct Answer

The image is located 30 cm in front of the mirror.

Exercise: QUESTIONS | Q: 2 | (Page Page 12)
For More Understanding

Explanation

This is a straightforward application of the magnification formula for mirrors. The key insight is that a real image is always inverted, so the magnification must be negative. Using m = -v/u, we can solve for the image distance. The negative value of v confirms the image is formed on the same side as the object (in front of the mirror), which is consistent with real image formation by a concave mirror.

Solution Steps

  1. Step 1: Identify given values - Object distance (u) = -10 cm (negative by sign convention); Magnification (m) = -3 (negative because real image is inverted, and magnitude is 3 as image is three times enlarged).

  2. Step 2: Apply magnification formula - m = -v/u

  3. Step 3: Substitute values and solve - -3 = -v/(-10); -3 = v/10; v = -30 cm

  4. Step 4: Interpret result - The negative sign indicates the image is formed in front of the mirror. The image is located 30 cm in front of the mirror.

PreviousNext