WAEC Physics Past Questions & Answers - Page 92

456.

A telescope is said to be in normal adjustment when the

A.

focal length of he objective is greater than that of the eyepiece

B.

focal length of the eyepiece is greater than that of the objective

C.

focal length of the eyepiece is equal to that of the objective

D.

objective focal point coincides with that of the eyepiece

Correct answer is D

No explanation has been provided for this answer.

457.

An object is placed 10cm from a converging lens of foal length 15cm. Calculate the magnification of the image formed

A.

3.0

B.

1.5

C.

0.6

D.

0.3

Correct answer is C

* produces a virtual image when object distance(u) is less than its focal length(f).

\(\frac{1}{f} = \frac{1}{u} - \frac{1}{v}\)

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

\(\frac{1}{15} + \frac{1}{10} = \frac{2 + 3}{30}\)

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

v = 6.0 cm 

but m = \(\frac{v}{u} = \frac{6}{10} = 0.6\)

Note that the negative sign only shows the placement of the image. It has no effect on the magnification basically.

459.

A ray of light passes from air to water to glass to air. Given that the refractive index for light passing from air to water is \(\frac{4}{3}\) and air to glass is \(\frac{3}{2}\), calculate the refractive index of glass relative to water

A.

0.50

B.

0.67

C.

0.75

D.

1.13

Correct answer is D

\(_{g} \eta _{w} = \frac{ _g \eta _a}{ _a \eta _w}\)

= \(\frac{3}{2} \times \frac{1}{\frac{4}{3}}\)

= \(\frac{3}{2} \times \frac{3}{4}\)

= \(\frac{9}{8}\)

= 1.125

= 1.13 (to 2 d.p)

460.

An object of height 2.5cm is places 20cm from a convex mirror of focal length 10cm. Calculate the height of its image.

A.

2.5 cm

B.

3.0cm

C.

5.0cm

D.

25.0cm

Correct answer is A

\(\frac{1}{v} = \frac{1}{f} - \frac{1}{u}\)

= \(\frac{1}{10} - \frac{1}{2} = \frac{1}{20}\)

v = 20

but h\(_i\) = \(\frac{v \times h_o}{u}\)

= \(\frac{20 \times 2.5 }{20}\)

= 2.5cm