A quantity of water at 20oC is mixed with another quantity of water at 70oC. The final steady temperature of the mixture is 40oC. Determine the ratio of the mass of the cold water to that of the hot water
- A. 7:2
- B. 3:2
- C. 2:5
- D. 1:2
A body of mass M kg rests on a plane inclined at an angle \(\theta\) to the horizontal. The component of the weight of the body parallel to the plane is
- A. Mg sin \(\theta\)
- B. Mg cos \(\theta\)
- C. Mg tan \(\theta\)
- D. Mg sec \(\theta\)
Which of the following types of thermometers can be used to measure a range of temperature from -50°C to 50°? i. Clinical ii. Mercury iii. Alcohol-in-glass
- A. i only
- B. ii only
- C. iii only
- D. i and ii only
The change of state from solid to liquid occurs
- A. at constant temperature
- B. when temperature is lower than the boiling point
- C. when temperature is just near freezing point
- D. when temperature is equal to the boiling point
The temperature at which the water vapor in the air saturates the air and begins to condense is known as
- A. dew point
- B. critical point
- C. boiling point
- D. triple point
Heat transfer by conduction is similar to wave motion because
- A. there is increase in temperature
- B. transfer of materials is involved
- C. charged particles vibrates at right angles
- D. no transfer of materials is involved
A screw-jack has the distance between its successive threads as P and the length of its tommy bar as r. Its velocity ratio is given by the expression
- A. \(\frac{2 \pi r^2}{P}\)
- B. \(\frac{2 \pi r}{P}\)
- C. \(\frac{2 \pi}{rp}\)
- D. \(\frac{P}{2 \pi r}\)
A device that converts mechanical energy into electrical energy is
- A. a dynamo
- B. an electric motor
- C. an induction coil
- D. a transformer
Alcohol of mass 21g and density 0.7g cm-3 is mixed with 10g of water. Determine the density of the mixture [density of water = 1.0gcm-3]
- A. 0.775gcm-3
- B. 0.875gcm-3
- C. 0.780gcm-3
- D. 0.880gcm-3
The period of a simple pendulum X is 5s. What is the period of a simple pendulum Y which makes 50 vibrations in the same time it takes X to make 20 vibrations?
- A. 12.5s
- B. 2.5s
- C. 2.0s
- D. 1.2s
The diagram above illustrates a uniform metre rule which is balanced on a pivot by some masses. Calculate the value of M
- A. 500.0g
- B. 400.0g
- C. 44.4g
- D. 25.0g
A car starts from rest and covers a distance of 40m in 10s. Calculate the magnitude of its acceleration
- A. 0.25ms-2
- B. 0.80ms-2
- C. 3.20ms-2
- D. 4.00ms-2
A body is projected vertically upwards with a speed of 10 ms-1 from a point 2m above the ground. Calculate the total time taken for the body to reach the ground. [g = 10ms-2]
- A. 1.00s
- B. 2.00s
- C. 2.18s
- D. 3.00s
The knowledge of surface tension is applied in the following areas except in
- A. manufacturing of rain coats
- B. production of palm oil
- C. floating of a needle on water
- D. washing of plates with soapy water
Which of the following pairs of physical quantities is made up of vectors?
- A. speed and displacement
- B. mass and force
- C. dislacement and acceleration
- D. momentum and length
If no net force acts on an object, the object maintains a state of rest or constant speed in a straight line. The above is a statement of Newton’s
- A. first law of motion
- B. second law of motion
- C. third law of motion
- D. law of universal gravitation
When the linear momentum of a body is constant, the net force acting on it
- A. is zero
- B. increases
- C. decreases
- D. remains constant
When an elastic material is stretched by a force, the energy stored in it is
- A. kinetic
- B. potential
- C. thermal
- D. electrical
An object of mass m moves with a uniform speed v round a circular path of radius r. If its angular speed is \(\omega\), the magnitude of the centripetal force acting on it is
- A. \(m \omega^2 r\)
- B. \(\frac{mv^2}{r}\)
- C. \(m \omega r\)
- D. \(\frac{mv^2}{r^2}\)
A ball falling through a viscous liquid is acted upon by
- A. upthrust only
- B. upthrust and the ball's weight
- C. the ball's weight and viscous force
- D. upthrust, the ball's weight and viscous force