JAMB Physics Past Questions & Answers - Page 464

2,316.

The inside portion of part of a hollow metal sphere of diameter 20cm is polished. The portion will therefore form a

A.

concave mirror of focal length 5cm

B.

concave mirror of focal length 10cm

C.

convex mirror of focal length 5cm

D.

convex mirror of focal length 20cm

Correct answer is A

No explanation has been provided for this answer.

2,317.

A man stands 4m in front of a plane mirror. If the mirror is moved 1m towards the man, the distance between him and his new image is

A.

3m

B.

5m

C.

6m

D.

10m

Correct answer is C

The image of an object placed in front of a plane mirror is always as far behind the mirror as the object is in front of the mirror. Thus when the object is 4m in front of the mirror, the image will be 4m behind the mirror. But when the mirror is moved in towards the man, (that is the man is now 3m from the mirror), the image distance will again decrease by 1m from behind the mirror. Thus the new image position is 3m behind the mirror. Therefore, the distance between the man and his new image is 6m.

2,318.

The lowest note emitted by a stretched string has a frequency of 40Hz. How many overtones are there between 40hz and 180Hz?

A.

4

B.

3

C.

2

D.

1

Correct answer is B

The lowest note (fundamental note) emitted by any stretched string has a fundamental frequecy fo = V/2l = 40Hz
The 1st overtone = 2fo = 2 x 40 = 80Hz
2nd overtone = 3fo = 3 x 40 = 120Hz
3rd overtone = 4fo = 4 x 40 = 160Hz
4th overtone = 5fo = 5 x 40 = 200Hz

Overtones between 40Hz and 180Hz are 80Hz, 120Hz, 160Hz = 3 Overtones

2,319.

If a sound wave goes from a cold air region to a hot air region, its wavelength will

A.

increase

B.

decrease

C.

decrease then increase

D.

remain constant

Correct answer is B

If a sound wave goes from a cold air region to a hot air region (which will be less dense), the velocity decreases, and since the frequency is always constant, the wave length decreases with the velocity

2,320.

The equation of a wave traveling along the positive x-direction is given by;
y = 0.25 x 10\(^{-3}\) sin (500t - 0.025x).
Determine the angular frequency of the wave motion.

A.

0.25 x 10-3rad s-1

B.

0.25 x 10-1rad s-1

C.

5.00 x 102rad s-1

D.

2.50 x 103rad s-1

Correct answer is C

The general wave equation is given by;
y = A Sin(wt - 2πx/Wavelength)
where w = angular velocity

Thus comparing this equation with the equation
y = 0.25 x 10-3 Sin (500t - 0.025x)
That Amplitude = 0.25 x 10-3m
the angular velocity(w) = 500 (the coefficient of t in both equations)
∴ w = 500 rad s-1
= 5.00 x 102rad s-1