Question

heya✌___answer this___An object 10cm long is placed at 15 cm from a convex lens of focal length 10cm.Find position and size of image. ​

Answer 1

Answer:

position of a image is 6cm behind th

$\frac{1}{f} =$

e convex mirror at a size of four.

$hi = 10cm$

$u = - 15cm$

$f = 10cm$

$v =$

$position \: of \: image =$

$size \: of \: image =$

$by \: the \: mirror \: formula =$

$\frac{1}{f} = \frac{1}{u} + \frac{1}{v}$

$\frac{1}{10} = \frac{1}{v} + \frac{1}{ - 15}$

$\frac{1}{v} = \frac{1}{10} + \frac{1}{15}$

$\frac{1}{v} = \frac{2 + 3}{30}$

$\frac{1}{v} = \frac{5}{30}$

$\frac{1}{v} = \frac{1}{6}$

$v = 6$

$so \: the \: position \: of \: the \: image \\ is \: 6cm \: behind \: the \: mirror \: convex \\ \: mirror.$

$\frac{hi}{ho} = \frac{ - v}{u}$

$\frac{hi}{10} = \frac{ - 6}{ - 15} = \frac{2}{5} \\ \frac{2 \times 10}{5} = \frac{20}{5}$

$hi = \frac{20}{5}$

$the \: size \: of \: the \: image \: is \: 4cm$

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Answer 2

position of a image is 6cm behind th

\frac{1}{f} =

f

1

=

e convex mirror at a size of four.

hi = 10cmhi=10cm

u = - 15cmu=−15cm

f = 10cmf=10cm

v =v=

position \: of \: image =positionofimage=

size \: of \: image =sizeofimage=

by \: the \: mirror \: formula =bythemirrorformula=

\frac{1}{f} = \frac{1}{u} + \frac{1}{v}

f

1

=

u

1

+

v

1

\frac{1}{10} = \frac{1}{v} + \frac{1}{ - 15}

10

1

=

v

1

+

−15

1

\frac{1}{v} = \frac{1}{10} + \frac{1}{15}

v

1

=

10

1

+

15

1

\frac{1}{v} = \frac{2 + 3}{30}

v

1

=

30

2+3

\frac{1}{v} = \frac{5}{30}

v

1

=

30

5

\frac{1}{v} = \frac{1}{6}

v

1

=

6

1

v = 6v=6

\begin{gathered}so \: the \: position \: of \: the \: image \\ is \: 6cm \: behind \: the \: mirror \: convex \\ \: mirror.\end{gathered}

sothepositionoftheimage

is6cmbehindthemirrorconvex

mirror.

\frac{hi}{ho} = \frac{ - v}{u}

ho

hi

=

u

−v

\begin{gathered} \frac{hi}{10} = \frac{ - 6}{ - 15} = \frac{2}{5} \\ \frac{2 \times 10}{5} = \frac{20}{5} \end{gathered}

10

hi

=

−15

−6

=

5

2

5

2×10

=

5

20

hi = \frac{20}{5}hi=

5

20

the \: size \: of \: the \: image \: is \: 4cmthesizeoftheimageis4cm

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