WAEC Physics Past Questions & Answers - Page 53

261.

Ice of mass 50g at 0°C was completely melted by 70% of the total heat energy supplied. Calculate the total heat energy supplied  [Specific latent heat of fusion of ice = 336\(Jg^{-1}\)]

A.

2400J

B.

6800J

C.

7251J

D.

24000J

Correct answer is D

The quantity of heat needed to melt ice = mL (where m is the mass of ice and L is the specific latent heat of fusion of ice)

Q = \(50 \times 336 = 16800J\) but this is 70% of the total heat supplied so that we have,

70% total heat = 16800J

\(\frac{70}{100}\) of total heat = 16800J

⇒ Total heat supplied = \(\frac{16800\times100}{70} = 24000J\)

262.

The energy stored in a spring of stiffness constant k = 2000\(Nm^{-1}\) when extended 4cm is

A.

0.16J

B.

1.60J

C.

16.00J

D.

160.00J

Correct answer is B

The spring constant = the measure of stiffness = 2000\(Nm^{-1}\)

Energy stored in a spring = Work done to stretch it through a distance = change in potential energy

= \(\frac{kx^{2}}{2}\) = \(\frac{2000 \times (0.04)^{2}}{2}\) (converting 4cm to metres)

= \(\frac{3.2}{2} = 1.60J\)

264.

A body can undergo the following types of motion except

A.

random

B.

rotational

C.

translational

D.

relative

Correct answer is D

Relative motion is the calculation of the motion of an object with regard to some other moving object. Hence, relative motion is not a type of motion.

265.

The angle at which a projectile must be fired to cover maximum range is 

A.

30°

B.

45°

C.

60°

D.

90°

Correct answer is B

The formula is \(\frac{v^{2}sin2\theta}{g}\) 

And the sine graph is highest at 1 with its inverse as 90°. Hence, \(2\theta\) = 90°

\(\theta\) = 45°