Physics, asked by mohit3789, 1 year ago

The principal axis of a convex lens is along x-axis.The coordinates of a point object and its image are (-20cm,2cm) and (25cm,-4cm) respectively. Its focal length is-. 15cm. 30cm. 5cm. 10cm

Answers

Answered by josimagic
11

lens formula

The formula gives the relationship between object distance(u), image distance(v) and the focal length(f). The lens formula is expressed as,

1/f= 1/v - 1/u

the lens formula is valid in all situations in the case of any spherical lens.

Here object distance u=-20cm

image distance v = 25cm

focal length of lens = f

we have  1/f= 1/v - 1/u

from this equation we get

f =(uv)/(u-v) = (-20 x 25)/(-20 -(-25)) ≈ 10cm

Therefore focal length is 10cm


sunilabhinav1972: How can possible (-20x25)/(-20-(-25))=10cm
sunilabhinav1972: Please define
sunilabhinav1972: -20x25=-500
sunilabhinav1972: -20-(-25)=-20+25=5
sunilabhinav1972: And -500/5=-100
sunilabhinav1972: How can possible 10
Answered by topanswers
6

Focal length: The distance between the center of a lens and its focus is called the focal length.

Given:

X axis coordinate of the object (-20cm, 2cm)

X axis coordinate of the image (25cm, -4cm)

Solution:

According to lens formula,

1 / f = 1 / v - 1 / u

The distance of object distance u = -20 cm

The distance of image distance v = 25 cm

The focal length,

f = ( u v ) / ( u - v )  

f = ( - 20 x 25 ) / ( -20 - ( -25 ) )  

f ≅ 10cm

Hence, the focal length is 10cm.

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