Three forces with magnitudes 16 N, 12 N and 21 N are shown in the diagram below. Determine the magnitude of their resultant force and angle with the x-axis
- A. 7.63N,61Β°
- B. 8.71N,61Β°
- C. 7.63N,29Β°
- D. 8.71N,29Β°
A simple pendulum, has a period of 5.77 seconds. When the pendulum is shortened by 3 m, the period is 4.60 seconds. Calculate the new length of the pendulum
- A. 5.23 m
- B. 6.42 m
- C. 4.87 m
- D. 7.26 m
Light of wavelength 589 nm in vacuum passes through a piece of fused quartz of index of refraction n = 1.458. What is the frequency of the light in fused quartz?
[Speed of light c = \(3.00Γ10^8 ms^{-1}\)]
- A. \(5.09Γ10^{15}\)Hz
- B. \(5.09Γ10^{14}\) Hz
- C. \(1.77Γ10^{15}\) Hz
- D. \(1.77Γ10^{14}\) Hz
A 400 N box is being pushed across a level floor at a constant speed by a force P of 100 N at an angle of 30.0Β° to the horizontal, as shown in the the diagram below. What is the coefficient of kinetic friction between the box and the floor?
- A. 0.19
- B. 0.24
- C. 0.40
- D. 0.22
Which of the following thermometers measures temperature from the thermal radiation emitted by objects?
- A. Pyrometer thermometer
- B. Platinum resistance thermometer
- C. Thermocouple thermometer
- D. Constant pressure gas thermometer
What is the amount of heat required to raise the temperature of a 0.02 kg of ice cube from \(-10^oC\) to \(10^oC\) ?
[specific latent heat of fusion of ice = 3.34 x \(10^5\) \(Jkg^-1\), Specific heat capacity of water = 4200 \(Jkg^-1\) \(k^-1\)
Specific heat capacity of ice = 2100 \(Jkg^-1\) \(k^-1\)
- A. 6680 J
- B. 1680 J
- C. 7520 J
- D. 7940 J
A parallel plate capacitor separated by an air gap is made of \(0.8m^2\) tin plates and 20 mm apart. It is connected to 120 V battery. What is the charge on each plate?
Take \(Ξ΅_o\) = \(8.85Γ10^-12 Fm^-1\)
- A. 3.54nC
- B. 42.5nC
- C. 35.4nC
- D. 4.25nC
An air bubble of radius 4.5 cm initially at a depth of 12 m below the water surface rises to the surface. If the atmospheric pressure is equal to 10.34 m of water, the radius of the bubble just before it reaches the water surface is
- A. 6.43 cm
- B. 8.24 cm
- C. 4.26 cm
- D. 5.82 cm
A 200 kg load is raised using a 110 m long lever as shown in the diagram above. The load is 10m from the pivot P. If the efficiency of the the lever is 80%, find the effort E required to lift the load.
[Take g = 10ms-2]
- A. 250
- B. 300
- C. 450
- D. 200
A man swung an object of mass 2 kg in a circular path with a rope 1.2 m long. If the object was swung at 120 rev/min, find the tension in the rope.
- A. 400
- B. 288
- C. 240
- D. 379
A wire of radius 0.2 mm is extended by 0.5% of its length when supported by a load of 1.5 kg. Determine the Young’s modulus for the material of the wire.
[Take g = 10 ms\(^{-2}\)]
- A. \(2.4Γ10^{10}(Nm^{-2})\)
- B. \(1.5Γ10^{10}(Nm^{-2})\)
- C. \(2.4Γ10^9(Nm^{-2})\)
- D. \(1.3Γ10^{10}(Nm^{-2})\)
How much net work is required to accelerate a 1200 kg car from 10\(ms^{-1}\) to 15\(ms^{-1}\)
- A. 1.95Γ\(10^5 j\)
- B. 1.35Γ\(10^4 j\)
- C. 7.5Γ\(10^4 j\)
- D. 6.0Γ\(10^4 j\)
Which process is responsible for production of energy in stars?
- A. Nuclear reaction
- B. Nuclear fission
- C. Nuclear fusion
- D. Radioactive decay
The surface temperature of a swimming pool on a warm day is 25ΒΊC and the temperature at the bottom is 15ΒΊC. If the swimming pool has a surface area of 620 \(m^2\) and a depth of 1.5m. Find the rate at which energy is transferred by conduction from the surface to the bottom of the swimming pool.
[Thermal conductivity of water (k) = 0.6071 Wm-1K-1]
- A. 2.5kw
- B. 250kw
- C. 300kw
- D. 3.0kw
Rainbow formation is as a result of the combination of which of the following phenomena?
(i) Reflection
(ii) Dispersion
(iii) Total internal reflection
(iv) Refraction
- A. (ii) and (iv) only
- B. (i), (iii) and (iv) only
- C. (ii), (iii) and (iv) only
- D. (i), (ii) and (iv) only
Name the type of equilibrium for each position of the ball
- A. A - unstable, B - neutral, C - stable
- B. A - stable, B - neutral, C - unstable
- C. A - stable, B - unstable, C - neutral
- D. A - unstable, B - stable, C - neutral
The number of holes in an intrinsic semiconductor
- A. is not equal to the number of free electrons
- B. is greater than the number of free electrons
- C. is equal to the number of free electrons
- D. is less than the number of free electrons
The half life of a radioactive material is 12 days. Calculate the decay constant.
- A. 0.8663 \(day^{-1}\)
- B. 0.04331 \(day^{-1}\)
- C. 0.17325 \(day^{-1}\)
- D. 0.05775 \(day^{-1}\)
A lorry accelerates uniformly in a straight line with acceleration of \(4ms^-2\) and covers a distance of 250 m in a time interval of 10 s. How far will it travel in the next 10 s?
- A. 650
- B. 900
- C. 800
- D. 250
The terminals of a battery of emf 24.0 V and internal resistance of 1.0 Ξ© is connected to an external resistor 5.0 Ξ©. Find the terminal p.d.
- A. 18.0V
- B. 12.0V
- C. 16.0V
- D. 20.0V
Calculate the absolute pressure at the bottom of a lake at a depth of 32.8 m. Assume the density of the water is 1 x 10^3 kgm-3 and the air above is at a pressure of 101.3 kPa.
[Take g = 9.8 ms-2]
- A. 422.7
- B. 220.14
- C. 464.53
- D. 321.74