A metal rod of density 7000 kgm^-3 and cross-sectional area of 0.001257m² has a mass of 1.76kg. Calculate its length.

• A. 0.20m
• B. 0.25m
• C. 0.40m
• D. 0.50m

Which of the following statements are TRUE of isotopes? I. Isotopes of an element have the same chemical properties because they have the same number of electrons II. Isotopes of elements are normally separated using physical properties III. Isotopes of an element have the same number of protons in their nuclei

• A. I and II only
• B. I and III only
• C. II and III only
• D. I, II and III

The specific latent heat of vapourization of lead is 8.7 × \(10^5 Jkg_1\). This means that 8.7 × \(10^5\) J of thermal energy is required to change

• A. a given mass of molten lead to vapour at constant temperature and pressure.
• B. 1 kg of molten lead to vapour at constant temperature and pressure.
• C. 1 kg of solid lead to vapour at constant temperature and pressure.
• D. 1 kg of molten lead to vapour for every degree rise in temperature.

The temperature of 900cm³ of an ideal gas at a pressure of 114cm Hg is 27^oC. Calculate its volume at 76cm Hg and 0^oC

• A. 50.0cm³
• B. 546.0cm³
• C. 659.3cm³
• D. 1228.5cm³

A reservoir is filled with liquid of density 2000 kgm\(^{-1}\). Calculate the depth at which the pressure in the liquid will be equal to 9100 Nm\(^{-2}\) (g = 10 ms\(^{-2}\))

• A. 0.262 m
• B. 0.664 m
• C. 0.819 m
• D. 0.455 m

The spiral spring of a spring balance is 25.0cm long when 5N hangs on it and 30cm long, when the weight is 10N. What is the length of the spring if the weight is 3N assuming Hooke's law is obeyed?

• A. 15.0cm
• B. 17.0cm
• C. 20.0cm
• D. 23.0cm

A 120 V, 60 W lamp is to be operated on 220 V a.c. the supply mains. calculate the values of non-inductive resistance that would be required to ensure that the lamp is run on current value.

• A) 100 Ω
• B) 200 Ω
• C) 300 Ω
• D) 500 Ω

A body weighing 14N in air is partially immersed in water. If the mass of water displaced in the process is 200g, calculate the upthrust on the body. [g=10\(m/s^{2}\)]

• A. 2.0N
• B. 3.0N
• C. 3.5N
• D. 7.0N

Dry oxygen is trapped by a pellet of mercury in a uniform capillary tube which is sealed at one end. The length of the column of oxygen at 27°C is 50cm. if the pressure of the oxygen is constant, at what temperature will the length be 60cm?

• A. 360.0°C
• B. 240.6°C
• C. 237.0°C
• D. 87.0°C

A solid weighs 4.8g in air, 2.8g in water and 3.2g in Kerosine. The ratio of density of the solid to that of the kerosine is

• A. 2
• B. 3/2
• C. 2/3
• D. 3