A deplorable kid is attempting to burn ants with a magnifying glass and hasn\'t

Question

A deplorable kid is attempting to burn ants with a magnifying glass and hasn't succeeded in finding the right distance yet. The magnifying glass has a focal length of 22.6 cm, and the kid holds it 9.32 cm away from the ant. If the kid's eye is 18.0 cm away from the magnifying glass on the other side from the ant:

(a) How far away is the ant actually from the kid's eye?

(b) How many times larger is the image of the ant than the ant itself?

(c) How far away does the ant appear to be from the kid's eye?

Explanation / Answer

given data isfocal lengthf=22.6 cm,object distance u=9.32 cm,kid eye distance d=18cm

a)distance of ant from kid eye=u+d=9.32+18=27.32 cm

b)image distance v=uf/f-u

v=9.32*22.6/(22.6-9.32)=15.86 cm

magnification at nearest distance m=1+D/f

here D=25 cm,f=22.6cm then m=1+(25/22.6)=2.1

2.1 times larger the image than ant

c) image distance v=

uf/f-u

v=9.32*22.6/(22.6-9.32)=15.86 cm

image of the ant distance from kid eye=18-15.86=2.14cm

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.