BMAT 2006-S2

The graph shows changes in the mass of glycogen stored in the liver and skeletal muscles.

Compound T has a melting point of 78 °C and a boiling point of 134 °C. T is soluble in water and its solution does not conduct electricity. T has covalent bonding and has a simple molecular structure.

A particular radioisotope X with a half-life of 4 years decays into the stable isotope Y.

At a particular time, a sample contains 32 x 10²º atoms of nuclide X and 4 x 10²º atoms of nuclide Y.

The amount of water in urine is controlled by the hormone ADH.

Listed are the electronic configurations for the atoms of different elements.

The sides of triangle ABC are as follows:

AB = 3, AC = 2, BC = 4

Use the cosine rule, a ² = b² + c ² – 2bc cos A , to find the cosine of ∠BAC

The following statements can be applied to certain types of wave:

1. Their oscillations are longitudinal.

2. They travel at the speed of light in air.

3. They are used in pre-natal scanning.

4. They are used in thermal imaging.

5. They will not travel through a vacuum.

A health club monitors the average heart rate of its members when using a cardiovascular workout machine. The lower quartile of the heart rate is 115, the upper quartile is 165.

NH₃(g) + HCl(g) ⇋ NH₄Cl(s)

1. Adding a catalyst

2. Adding more ammonia

3. Increasing the pressure

4. Increasing the temperature

A gene controls the production of chlorophyll in lettuce plants. The recessive allele of this gene blocks chlorophyll formation which prevents seedling development.

Plants heterozygous for this gene were cross bred and 1000 of their seeds were planted. Only about 750 developed into mature plants.

A force F is applied to the piston X of a brake pedal. This force is transmitted, hydraulically, to piston Y as shown in the diagram.

Diameter of piston X = 2 cm.

Diameter of piston Y = 20 cm.

The pressure applied at X is 3 N/cm²

In statistics Spearman’s rank correlation coefficient is given by the formula:

At 200 °C, potassium hydrogen carbonate decomposes according to the following equation.

2KHCO₃ → K₂CO₃ +H₂O+ CO₂

Find the positive solution of the following simultaneous equations:

4x ² + y ² + 10 y = 47

2x – y = 5

The diagram shows part of the circulatory system.

An object with a mass of 20 kg is lifted by the arrangement shown in the diagram. Air resistance (drag) can be ignored, and the gravitational field strength (acceleration due to gravity) can be taken as 10 N/kg.

The element has a mass number of 40 and an atomic number of 20.

1. The nucleus has a relative mass of 20.

2. It is a noble gas.

3. It would form a negative ion.

4. It is in group 2 of the periodic table.

5. It is a non-metallic element.

The table shows some details of the composition of inhaled and exhaled air of a student.

The student is breathing 500 cm³ of air 14 times per minute.

Which row of the table shows the response of the iris to reducing levels of light?

Five identical resistors are connected to a cell as in the diagram.

The potential differences across R1 , R 2 and R3 are V1 , V2 and V3 respectively.

Evaluate

The energy profile for a reaction is shown  below.

The diagram shows the dispersion of white light as it passes from air into glass.

Red light travels at speed c in air, but only 2c/3 in glass. Red light has a wavelength of λ in air.

The statements are about respiration.

1. Aerobic respiration releases more energy per unit mass of glucose than anaerobic respiration.

2. Aerobic respiration in muscles causes an oxygen debt to occur.

3. Aerobic respiration forms carbon dioxide as the only waste product.

4. Reduced aerobic respiration will limit the active uptake of mineral ions in the kidney tubules.

5. When there is little oxygen available to muscles only anaerobic respiration occurs.

6. Anaerobic respiration forms lactic acid as the only waste product.

In stars four protons, p, are fused together to form helium, ⁴ He , with a mass of four units, by the following processes.

2p → ² H + e⁺

2 ²H + p → ³ He

2 ³ He → ⁴ He + 2p

(e⁺ is a positively charged electron, n is a neutron, ² H is a hydrogen of mass two and ³ He is helium of mass three.)

a is inversely proportional to the square of b.

When a = 9 , b = 4 .

A small conducting sphere is held at a fixed distance from a larger sphere which is continually charged by a generator.

The surface area of the large sphere is 0.04m² , and it discharges by sparking to the small sphere when the charge density on the large sphere reaches 0.25 C/m².

charge density = charge per unit surface area