Question

Radius of curvature of convex mirror is 40 cm be the image formed on the object placed 30 cm from the mirror

Answer 1

Answer:

Explanation:

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All the best

Answer 2

Given:

• Object Distance (u) = -30cm
• Radius of curvature (R) = 40cm

To Find:

• Position of Image?

Formula Used:

$\\ \bigstar{\underline{\boxed{\sf\orange{ Mirror \ Formula = \dfrac{1}{v} + \dfrac{1}{u} = \dfrac{1}{f} }}}} \\ \\ \bigstar{\underline{\boxed{\sf\orange{ Focal \ length (f) = \dfrac{R}{2} }}}}$

Solution:

Focal length (f) = R/2 = 40/2 => 20cm

After putting the values in the Mirror Formula;

$\colon\implies{\sf{ \dfrac{1}{v} + \dfrac{1}{u} = \dfrac{1}{f} }} \\ \\ \colon\implies{\sf{ \dfrac{1}{v} = \dfrac{1}{f} - \dfrac{1}{u} }} \\ \\ \colon\implies{\sf{ \dfrac{1}{v} = \dfrac{1}{20} - (- \dfrac{1}{30} ) }} \\ \\ \colon\implies{\sf{ \dfrac{1}{v} = \dfrac{1}{20} + \dfrac{1}{30} }} \\ \\ \colon\implies{\sf{ \dfrac{1}{v} = \dfrac{5}{60} }}$

After Reversing Fraction,

$\colon\implies{\sf{ v = \cancel{ \dfrac{60}{5} } }} \\ \\ \colon\implies{\underline{\sf\bold\blue{ v = 12 \ cm }}}$

Hence,

The Position of an image is 12 cm.