Question

Give answer with full solution. ​

Answer 1

Question:

A convex mirror used for rear view on an automobile has a radius of curvature of 3.00m. If the bus is located at 5.00m from this mirror. Find the position , nature and size of the image.

Answer:

Image is 1.15 m back from the mirror.

Nature = Virtual , erect

Size = Smaller than the mirror.

Explanation:

♤ Given :

• Radius of Curvature = R = 3m

• Object distance (u) = -5 (negative sign indicates that the image is is formex in opposite of the object.

♤ To Find :

• Image distance = ?

• Height

• Nature

♤ Procedure :

$f = \frac{r}{2}$

$\implies \: f = \frac{ + 3}{2} m$

$\implies \: f = + 1.50m$

$\implies \: \dfrac{1}{v} + \dfrac{1}{u} = \dfrac{1}{f}$

$\implies \: \dfrac{1}{v} - \dfrac{1}{ - 5} = \dfrac{1}{1.5}$

$\implies \: \dfrac{1}{v} = \dfrac{10}{15} + \dfrac{1}{5}$

$\implies \: \dfrac{1}{v} = \dfrac{10 + 3}{15}$

$\implies \: \dfrac{1}{v} = \dfrac{13}{15}$

$\implies \: v = 1.15$

➡ Hence object is 1.15 m back from original object

☆ Finding Magnification

$m = \dfrac{ - v}{u}$

$\implies \: m = \dfrac{ + 1.15}{ + 5}$

$\implies \: m = 0.23m$

➡ Hence , It is smaller than original object

➡ It is virtual and erect ✏

Answer 2

Answer:

A convex mirror used for rear view on an automobile has a radius of curvature of 3.00m. If the bus is located at 5.00m from this mirror. Find the position , nature and size of the image.