Question

An object is placed at a distance of 10cm from a convex lens of local length 12cm. Find the position and nature of the image.​

Answer 1

Answer:

Here,u=10cm=-10cm

f=12cm

v=?

Now, by using lens formula, we get

1/v-1/u=1/f

1/v-1/-10=1/12

1/v+1/10=1/12

1/v=1/12-1/10

1/v=10-12/120

1/v=-2/120

1/v=-1/60

v=-60cm

Image is real and inverted.

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Answer 2

$\Large{\underline{\underline{\mathfrak{\red{\bf{Solution}}}}}}$

$\Large{\underline{\mathfrak{\orange{\bf{Given}}}}}$

• u = -10 cm
• f = 12 cm

$\Large{\underline{\mathfrak{\orange{\bf{Find}}}}}$

• position of image (v)

$\Large{\underline{\underline{\mathfrak{\red{\bf{Explanation}}}}}}$

We Know, lens Formula.

$\small{\boxed{\boxed{\tt{\orange{\:\frac{1}{f}\:=\:\frac{1}{v}\:-\:\frac{1}{u}}}}}}$

Keep all above values

➡ 1/12 = 1/v - 1/(-10)

➡ 1/v = 1/12 - 1/10

➡ 1/v = (5-6)/60

➡ 1/v = -1/60

Or

➡v = -60

$\Large{\underline{\underline{\mathfrak{\red{\bf{Hence}}}}}}$

• Image formed behind the mirror at a distance 60 cm
• Image is virtual magnified beyond 2F

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