# Sulvme!

### Unified Tertiary Matriculation Examination Physics 2009

1:

The values of x, y, and z respectively in the expression MxLyTz for the universal gravitational constant G are

A:

2, -3, -2

B:

-1, 3, -2

C:

-1, 2, -3

D:

-2, -1, 3

E:

No option

2:

I. Diameter of a small ball bearing

II. Thickness of a piece of paper

III. Diameter of a measuring cylinder

IV. Length of a piece of wire

Which of the above can be measured using a micrometer screw gauge?

A:

I, II and IV only

B:

I and II only

C:

II and III only

D:

III and IV only

E:

No option

3:

An aircraft attempts to fly due north at 100 kmh-1. If the wind blows against it from east to west at 60 kmh-1, its resultant velocity is

A:

117 kmh-1, N310E

B:

127 kmh-1, N310E

C:

117 kmh-1, N310W

D:

127 kmh-1, N310W

E:

No option

4:

What is the acceleration between two points on a velocity-time graph which has coordinates (10s, 15ms-1) and (20s, 35ms-1)?

A:

1.75 ms-2

B:

3.50 ms-2

C:

1.00 ms-2

D:

2.00 ms-2

E:

No option

5:

A car accelerates uniformly from rest at 4ms-2. How far will it travel in the fifth complete second ?

A:

100m

B:

50m

C:

32m

D:

18m

E:

No option

6:

Which of the diagrams below shows the position at which a small ball-bearing is in neutral equilibrium?

A:

coming

B:

coming

C:

coming

D:

coming

E:

No option

7:

A body of mass 12kg travelling at 4.2 ms-1 collides with a second body of mass 18 kg at rest. Calculate their common velocity if the two bodies coalesce after collision

A:

1.5 ms-1

B:

1.4 ms-1

C:

2.1 ms-1

D:

1.7 ms-1

E:

No option

8:

A bullet fired vertically upward from a gun held 2.0m above the ground reaches its maximum height in 4.0s. Calculate its initial velocity.

$(g \approx 10 ms^{-2})$

A:

10 ms-1

B:

8 ms-1

C:

40 ms-1

D:

20 ms-1

E:

No option

9:

I. The motion of the tyres of a moving car

II. The motion of a loaded test tube oscillating vertically

III. The beating of the heart

IV. A stone tied to a string and whirled round

V. The motion of the pistons in a gasoline engine

Which of the motions above is simple harmonic?

A:

III, IV and V only

B:

II,III and V only

C:

II, III and IV only

D:

I, II and III only

E:

No option

10:

If a cage containing a truck of coal weighing 750 kg is raised to a height of 90m in 1 minute, what is the total power expended?

$(g \approx 10ms^{-2})$

A:

11.50 kW

B:

12.50 kW

C:

11.25 kW

D:

12.10 kW

E:

No option

11:

An object of mass 80 kg is pulled on a horizontal rough ground by a force of 500N. Find the coefficient of static friction

$(g \approx 10ms^{-2})$

A:

0.8

B:

0.4

C:

1.0

D:

0.6

E:

No option

12:

If a heavy barrel is rolled up a plane inclined at 300 to the horizontal, its velocity ratio will be

A:

3.0

B:

3.1

C:

3.2

D:

2.0

E:

No option

13:

The terminal velocity of a ball-bearing falling through a viscous fluid is reached when the

A:

upthrust is equal to the weight of the ball

B:

ball accelerates uniformly

C:

upthrust is equal to the velocity of the ball

D:

velocity if uniform

E:

No option

14:

I. Density of the liquid

II. Acceleration due to gravity

III. Type of container of the liquid

IV. The constituents of the liquid

Which of the above conditions will NOT affect the pressure of fluids?

A:

I and III only

B:

II and III only

C:

III and IV only

D:

I and II only

E:

No option

15:

The diagram above represents the graph of the force (F) applied in stretching a spiral spring against the corresponding extension (X). The force constant of the spring is

A:

20 NM-1

B:

40 NM-1

C:

30 NM-1

D:

10 NM-1

E:

No option

16:

If a load of mass 10N stretches a cord by 1.2cm, what is the total work done ?

A:

$6.0 \times 10^{-2}J$

B:

$7.6 \times 10^{-2}J$

C:

$1.8 \times 10^{-2}J$

D:

$6.6 \times 10^{-2}J$

E:

No option

17:

A plastic sphere floats in water with 50% of its volume submerged. If it floats in glycerine with 40% of its volume submerged, the density of the glycerine is

(Density of water = 1000 kgm-3)

A:

1400 kgm-3

B:

1250 kgm-3

C:

500 kgm-3

D:

1000 kgm-3

E:

No option

18:

The thermometer whose reading is indicated by a change in colour of its thermometric property is the

A:

bi-metallic strip thermometer

B:

thermocouple

C:

platinum resistance thermometer

D:

optical pyrometer

E:

No option

19:

At 40C , the volume of a fixed mass of water is

A:

constant

B:

minimum

C:

maximum

D:

zero

E:

No option

20:

The pressure of two moles of an ideal gas at a temperature of 270C and volume 10-2m3 is

(R = 8.313 J mol-1K-1)

A:

$4.99 \times 10^{5} NM^{-2}$

B:

$9.80 \times 10^{3} NM^{-2}$

C:

$4.98 \times 10^{3} NM^{-2}$

D:

$9.80 \times 10^{5} NM^{-2}$

E:

No option

21:

An electric heater rated 220V, 1000W is immersed into a bucket full of water. Calculate the mass of water if the temperature changes from 300C to 1000C and the current flows for 300 seconds.

(Specific heat capacity of water = 4200 J kg-1 K-1)

A:

4.28 kg

B:

42.86 kg

C:

1.02 kg

D:

7.14 kg

E:

No option

22:

If the pressure of the vapour on top of an enclosed liquid is equal to the atmospheric pressure, what will be the temperature of the liquid enclosed?

A:

Room temperature

B:

Boiling point

C:

Freezing poing

D:

Standard temperature

E:

No option

23:

A heating coil rated 1000 W is used to boil off completely 2 kg of boiling water. The time required to boil off the water is

(Specific latent heat of vaporization of water = $2.3 \times 10^{6} Jkg^{-1}$)

A:

$1.15 \times 10^{4}s$

B:

$1.15 \times 10^{3}s$

C:

$4.6 \times 10^{4}s$

D:

$4.6 \times 10^{3}s$

E:

No option

24:

It is observed that water will wet a clean glass because the

A:

cohesion of water to glass is stronger than the cohesion of water molecules

B:

adhesion of water molecules is weaker than the cohesion of water to glass

C:

cohesion of water to glass is weaker than the cohesion of water molecules

D:

adhesion of water molecules  is stronger than the cohesion of water molecules

E:

No option

25:

A man standing 2m from a charcoal fire is warmed mainly by

A:

convection

B:

C:

refraction

D:

conduction

E:

No option

26:

The wave phenomenon demonstrated in the diagram below is

A:

reflection

B:

deflection

C:

diffraction

D:

refraction

E:

No option

27:

A progressive wave is represented by $y = 10 sin (1000t - \frac{\pi X}{34})$. Two layers of the wave seperated by 153cm have a phase difference of

A:

2700

B:

450

C:

900

D:

1800

E:

No option

28:

Metal cables are used as telephone wires because

A:

they are cheap

B:

they are sourced locally

C:

the speed of sound in them is very low

D:

the speed of sound in them is very high.

E:

No option

29:

Musical instrument playing the same note can be distinguished from one another owing to the differences in their

A:

quality

B:

pitch

C:

intensity

D:

loudness

E:

No option

30:

If a light wave has a wavelength of 500mm in air, what is the frequency of the wave?

(c = $3 \times 10^{8} ms^{-1}$)

A:

$3.0 \times 10^{14} Hz$

B:

$6.0 \times 10^{14} Hz$

C:

$6.0 \times 10^{12} Hz$

D:

$2.5 \times 10^{14} Hz$

E:

No option

31:

I. Moon

II. Sun

III. Street light

IV. Starts

Which of the above is a natural source of light?

A:

II, III and IV only

B:

I, II and III only

C:

III and IV only

D:

II and IV only

E:

No option

32:

An object is placed 5cm from the pole of a concave mirror. If the focal length of the mirror is 10 cm, what is the image distance ?

A:

10 cm in front of the mirror

B:

5 cm in front of the mirror

C:

10cm behind the mirror

D:

5cm behind the mirror

E:

No option

33:

Calculate the position of an object placed in front of a convex mirror having focal length of 12cm such that an image is formed 6cm away from the mirror

A:

4.0cm

B:

3.0cm

C:

12.0cm

D:

9.0cm

E:

No option

34:

If the refractive index of crown glass is 1.51, its critical angle is

A:

48.60

B:

22.50

C:

41.50

D:

45.00

E:

No option

35:

When light passes through two media x and y of refractive indices  1.51 and 1.33 respectively, the speed of light in

A:

x is same as in y

B:

x and y is same as in vacuum

C:

x is higher than in y

D:

y is higher than in x

E:

No option

36:

A near-sightedness student has a near point of 0.1m and a focal length of 5.0cm. What is the student's far point?

A:

0.200m

B:

8.000m

C:

0.125m

D:

2.100m

E:

No option

37:

The ability of the human eye to focus objects on the retina is referred to as the power of

A:

interference

B:

diffraction

C:

accomodation

D:

superposition

E:

No option

38:

Which of the following is a secondary colour?

A:

Blue

B:

Orange

C:

Red

D:

Green

E:

No option

39:

If negative charges are induced on an electroscope and a positively charged rod is brought near the cap of the electroscope, the leaves will

A:

close up

B:

become positively charged

C:

become negatively charged

D:

open further

E:

No option

40:

Calculate the e.m.f of the cell in the above circuit if its internal resistance is negligible

A:

12V

B:

8V

C:

2V

D:

36V

E:

No option

41:

An electric lamp marked 240V, 60W is left to operate for an hour. How much energy is generated by filament?

A:

$3.86 \times 10^{5} J$

B:

$3.56 \times 10^{5} J$

C:

$1.86 \times 10^{4} J$

D:

$2.16 \times 10^{5} J$

E:

No option

42:

A band of 500 rectangular loops of wire of area 20 cm by 20 cm, encloses a region of magnetic field which changes from 1.0T to 0.4T within 5 seconds, calculate the induced e.m.f

A:

5.60V

B:

24.00V

C:

0.24V

D:

2.40V

E:

No option

43:

Two coils x and y are arranged co-axially. If coil x carries a clockwise current and is free to move, which of the figures below depicts the direction of the induced current in coil y?

A:

coming

B:

coming

C:

coming

D:

coming

E:

No option

44:

From the diagram above, if the potential difference  across the resistor, capacitor and inductor are 80V, 110V and 40V respectively, the effective potential difference is

A:

116.3V

B:

50.0V

C:

230.0V

D:

106.3V

E:

No option

45:

Cancerous cells can be destroyed by

A:

ultraviolet rays

B:

alpha particles

C:

x-rays

D:

infrared rays

E:

No option

46:

If the decay constant of a radioactive substance is 0.231s-1, the half-life is

A:

3.00s

B:

0.12s

C:

0.33s

D:

1.50s

E:

No option

47:

A piece of radioactive material contains 1020 atoms. If the half-life of the material is 20 seconds, the number of disintegrations in the first second is

A:

$3.47 \times 10^{18}$

B:

$6.93 \times 10^{20}$

C:

$3.47 \times 10^{20}$

D:

$6.93 \times 10^{18}$

E:

No option

48:

Thermionic emission is the process whereby

A:

$\beta$-rays are produced

B:

holes are produced

C:

x-rays are produced

D:

electrons leave a hot element

E:

No option

49:

Which of the following can conduct electrically owing to the presence of free mobile electrons?

A:

Germanium

B:

Silicon

C:

Grapefruit

D:

Copper

E:

No option

50:

When a pentavalent impurity is added to a pure semiconductor, it becomes

A:

a p-type semiconductor

B:

an n-type semiconductor

C:

an insulator

D:

an intrinsic semiconductor

E:

No option