Water waves have a wavelength of 3.6cm and speed of 18cms\(^{-1 }\) in deep water. If the waves enter shallow water with wavelength of 2.0cm, calculate the speed of the waves in the shallow water.

• A. 0.4cms\(^{-1}\)
• B. 2.5cms\(^{-1}\)
• C. 10.0cms\(^{-1}\)
• D. 10.8cms\(^{-1}\)

4g of a radioactive material of half-life 10 days is spilled on a laboratory floor. How long would it take to disintegrate 3.5g of the material?

• A. 1\(\frac{1}{4}\) days
• B. 8\(\frac{1}{4}\) days
• C. 30 days
• D. 80 days

Which of the following equations is not a correct mirror formula? [The symbols have their usual meanings]

• A. N = \(\frac{360}{\theta}\)
• B. \(\frac{1}{f} = \frac{1}{u} + \frac{1}{v}\)
• C. m = \(\frac{v}{u}\)
• D. f = \(\frac{1}{D}\)

The energy required to change a solid to liquid at constant temperature is called

• A. thermal capacity
• B. has lower specific heat capacity
• C. latent heat of fusion
• D. latent heat of vaporisation

A piece of copper of mass 30g loses 60J of heat energy. If the specific heat capacity of copper is 400J\(kg^{-1}K^{-1}\), Calculate the change in the temperature of the copper

• A. 0.2K
• B. 0.8K
• C. 2K
• D. 5K

A boy observes a piece of stone at the bottom of a river 6.0m deep. If he looks from the surface of the river, what is the apparent distance of the stone from him? [Refractive Index of Water = 4/3]

• A. 8.0m
• B. 5.5m
• C. 5.0m
• D. 4.5m

A tap supplies water at 30°C while another supplies at 86°C. If a man wishes to bath with water at 44°C, calculate the ratio of mass of hot water to that of cold water required

• A. 1:3
• B. 3:1
• C. 3:7
• D. 7:3

The period of an oscillatory motion is defined as the

• A. average of the time used in completing different numbers of oscillations
• B. time to complete a number of oscillations
• C. time to complete one oscillation
• D. time taken to move from one extreme position to another

A body of mass 8kg moving with a speed of 30ms^-1 is brought to rest in 2.5s by a constant retarding force. Calculate the magnitude of the force

• A. 240N
• B. 96N
• C. 20N
• D. 9N

(a) Define stable equilibrium as applied to a rigid body.

(b) Sketch a block and tackle system of pulleys with a velocity ratio of 3.

(c) At the beginning of a race, a tyre of volume 8.0 x 10\(^{-4}\) at 20°C-has a gas pressure of 4.5 x 10\(^5\) Pa. Calculate the temperature of the gas in the tyre at the end of the race if the pressure has risen to 4.6 x 1 0\(^5\) Pa.

(d)(i)

The table above shows readings of the resistance and pressure of a platinum resistance thermometer and a constant-volume gas thermometer respectively, when immersed in the same liquid bath. Use this data to determine the temperature of the bath on the: (\(\alpha\)) resistance thermometer; (\(\beta\)) gas thermometer

(ii) By what percentage is the temperature measured on the platinum resistance thermometer in error?