Part A: Find the two locations where an object can be placed in front of a conca

Question

Part A:

Find the two locations where an object can be placed in front of a concave mirror with a radius of curvature of 44cm such that its image is twice its size.

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

do1, do2 =___________cm

Part B:

In the case when the object is placed closer to the mirror, state whether the image is real or virtual, upright or inverted.

Part C:

In the case when the object is placed farther to the mirror, state whether the image is real or virtual, upright or inverted.

Explanation / Answer

mirror formula; 1/v + 1/u = 1/f

f = R/2 = 22 cm.

For UPRIGHT image;

Magnification = -v/u = 2

==) v = -2u

==) -(1/2u) + 1/u = 1/f

==) 1/2u = 1/f

==) u = f/2 = 11 cm.

Since "v" and "u" have opposite signs the image formed is VIRTUAL.

For INVERTED image;

Magnification = -v/u = -2

==) v = 2u

==) 1/2u + 1/u = 1/f

==) 3/2u = 1/f

==) u = 3f/2 = 33 cm.

Since "v" and "u" have same signs the image formed is REAL.

A) 11 , 33 cm

B) when the object is closer to the mirror the image is VIRTUAL UPRIGHT.

C) when the object is farther to the mirror the image is REAL INVERTED.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects