Question

focal length of a convex mirror is 10 centimetre an object is kept at 20 cm from the pole of mirror. find the position of image​

Answer 1

$\huge\underline\blue{\sf Answer:}$

$\red{\boxed{\sf Position\:of\:image(v)=+6.6cm }}$

$\huge\underline\blue{\sf Solution:}$

$\large\underline\pink{\sf Given: }$

• Focal lenght of mirror (f) = 10cm

• Object kept at distance (u) = -20cm

$\large\underline\pink{\sf To\:Find: }$

• Position of image (v) = ?

━━━━━━━━━━━━━━━━━━━━━━━━━━

According to Mirror Formula

$\large{\boxed{\sf \frac{1}{f}=\frac{1}{v}+\frac{1}{u}}}$

$\large\implies{\sf \frac{1}{10}=\frac{1}{v}+\frac{1}{-20}}$

$\large\implies{\sf \frac{1}{10}=\frac{1}{v}-\frac{1}{20}}$

$\large\implies{\sf \frac{1}{v}=\frac{1}{10}+\frac{1}{20} }$

$\large\implies{\sf \frac{1}{v}=\frac{20+10}{10×20} }$

$\large\implies{\sf v=\frac{200}{30} }$

$\large\implies{\sf v=+6.6cm}$

$\red{\boxed{\sf Position\:of\:image(v)=+6.6cm }}$

______________________________________

• Image is formed between pole and focus

• Image is formed behind the mirror

• Image is virtual and erect .

• Size of image is small.

Answer 2

$\huge{\mathfrak{\underline{\pink{Answer:-}}}}$

$\large\star{\bf{\underline{\underline{Given:-}}}}$

•$\large\sf\ focal \: length(f)= +10cm$

•$\large\sf\ Object\: distance(u)= -20cm$

$\large\star{\bf{\underline{\underline{To \: find:-}}}}$

•$\large\sf\ Image \: distance (v)=?$

$\large\star{\bf{\underline{\underline{ Mirror\: Formula \: used:-}}}}$

$\large\orange{\boxed{\sf\frac{1}{f}= \frac{1}{v} + \frac {1}{u} }}$

$\large\star{\bf{\underline{\underline{Solution:-}}}}$

•°•Constitute the values given in formula ;

So,

$\large\to\sf\frac {1}{f}= \frac {1}{v} + \frac {1}{u} \\ \\ \large\to\sf\frac {1}{10} = \frac {1}{v} + \frac {1}{-20} \\ \\ \large\to\sf\frac {1}{v}= \frac {1}{10} + \frac {1}{20} \\ \\ \large\to\sf\frac{1}{v}=\frac {20+10}{10 \times\ 20} \\ \\ \large\to\sf\large\frac{1}{v}= \frac {30}{200}\\\ \\ \large\to\sf\ v= \frac {200}{30} \\ \\ \large\to\bf\ v=+0.66cm$

_____________

$\large{\bf{\underline{\underline{Nature \: of \: image :-}}}}$

☑Virtual and erect.

☑Diminished .

☑Behind the mirror.

$\mathbb\red{Thanks...}$