Multiple choice questions
For each question select the correct response
1 A horizontal uniform rod 1.0 m long of mass 2.0 kg is pivoted at P. A mass of 2.0 kg is hung 0.4rn from P and the rod is supported horizontally by a string S which is 0.9 m from P. What is the tension in the string, to the nearest N?
A 10 B 20 C 40 D 89
2 A particle of mass m executes simple harmonic motion in a straight line of amplitude a and frequency f Which of the following expressions represents the total energy of the particle?
A 2p2mfa2 B 2p2mf2a2 C 4p2m2f2a D 4p2mf2a2
3 A mass-spring system and a simple pendulum have an identical time period T when at the surface of the Earth. If both are taken to a place where the gravitational field strength is 40 N/kg what is the period of their oscillations?
mass-spring system
simple pendulum
A
T/2
2T
B
T
C
D
4. The graph shows, at a particular instant, the variation of the displacement of the particles in a transverse progressive water wave, of wavelength 4 cm. travelling from left to right. Which one of the following statements is not true.
A The distance PS = 3 cm. B The particle velocity at Q is a maximum. C Particles at P and R are in phase. D The particle at S is moving downwards.
5 A thin converging lens of focal length f is used to view a small object. In order to produce an erect, magnified image the distance between the object and the lens must be
A 2f B between 2f and f C f D smaller than f
6 Interference phenomena are only observed using coherent sources. Which of the following cannot act as coherent sources?
A the pair of slits in the double slit experiment B adjoining slits in a diffraction grating C identical sodium lamps D identical sources of sound of a given frequency
7 The figure represents the diffraction pattern obtained when a beam of monochromatic light of wavelength A is incident normally on a diffraction grating. What is the path difference between wavelets from any two adjacent slits of the grating when they form the bright line marked X in the figure?
A 3l B 3l/2 C l/2 D 0
8 What is the effective resistance between the terminals P and Q of the network shown below?
A R B 2R C 3R D 4R
9 In the circuit shown the variable resistance is decreased. Which line in the table shows how the current I and the potential difference across R changes?
current I
potential difference across R
increase
decrease
10 When the temperature of a copper wire increases, its electrical conductivity
A remains constant. B increases. C decreases. D remains constant at first and then increases.
11. Four planets A, B, C and D have masses and radii as given below. M is the mass and R is the radius of the Earth. On which planet would the acceleration due to gravity be the same as on the Earth?
mass of planet
radius of planet
A B
2M 2M
M 2 M 2
2R
R Ö2 R Ö2 R Ö2
12 If R is the radius of the Earth and g is the acceleration due to gravity at the surface of the Earth, which one of the following gives the escape speed for a body of mass m at the surface of the Earth?
A Ö (gR) B Ö (2gR) C Ö (2mgR) D
13
The diagram shows how the electric potential varies along a line XX’ in an electric field. What will be the electric field strength in Vm-1. at the point P on XX’ which is mid-way between R and S?
A 5 B 10 C 20 D 30
14
Before the switch S in the circuit is closed, the 4.0 mF capacitor is fully charged and the 2.0 mF capacitor is uncharged. After the switch has been closed, what is the value of the ratio
initial energy stored in the capacitor final energy stored in the capacitor
A 0.44 B 0.67 C 1.0 D 3.0
15/20 Figure 1 shows the variation in potential energy, V. of two atoms with distance, r, between the two atoms. Figure 2 shows the variation in the force, F. between the two atoms with r. Which points on the graphs represent the atoms at the equilibrium distance?
A P and S B P and T C Q and S D Q and T
16/21 The radioactive nuclide 232 90Th decays by an a emission followed by two B- emissions. What is the product?
A 230 90Th B 228 92 U C 228 88 Ra D 228 90Th
17/22 After a time t. the number of parent nuclei remaining in a given sample of a radioactive element is N. The decay rate, at this instant is
A proportional to 1 / t B proportional to N. C constant and equal to l, the decay constant. D proportional to the half-life of the radioactive element.
Matching pairs questions
In Questions 23 to 25 and in Questions 26 to 28 each group of questions has a set of responses. A, B, C and D.
Each letter may be used once, more than once or not at all. For each question select the correct response
Questions 23—25
For each of Questions 23 to 25, identify the graph which represents the correct relationship between the variables y and x.
Questions 26 to 28
Each of the Questions 26 to 28 refers to a situation in which the direction of a vector quantity is to be considered. Choose from the arrows A to D the one which best represents the direction of the vector described in each of the questions.
situation
vector quantity
magnetic flux density in plane of paper at point P
In each of Questions 29 to 40 one or more of the responses is/are correct. A key to the form of the answer is provided with each question. Decide which of the responses to the question is/are correct and mark A, B, C or D on the answer sheet.
23/29 The figure shows the directions of forces P, Q and W acting on a small object which is in equilibrium. Which of the following are correct?
(i) P2 + Q2 = W2 (ii) Q sin q = P cos q (iii) Q > P (iv) W = Q sin q + P cos q
Answer
A if (i) and (iv) only B if (ii) and (iii) only C if (i), (ii) and (iii) only D if all of them
24/30 Which of the following quantities is/are vectors?
(i) gravitational potential (ii) gravitational field strength (iii) mass (iv) weight
A if (i) alone B if (i) and (ii) only C if (ii) and (iv) only D if (i), (ii), and (iv) only
25/31 An object of mass m with speed u collides head-on with an object of mass 2m travelling with speed u/2 in the opposite direction. If the objects stick together after the collision, which of the following statements are true?
(i) The total momentum before collision is 2 mu. (ii) The total kinetic energy before the collision is m u 2 (iii) The total momentum after collision is zero. (iv) The total kinetic energy after collision is zero.
A if (ii) and (iv) only. B if (iii) and (iv) only. C if (i), (ii) and (iii) only. D if (i). (ii) and (iv) only.
26/32 Which of the following statements about radio waves are correct?
(i) The wavelength is less than that of visible light. (ii) The speed in a vacuum is independent of frequency. (iii) They can be polarised. (iv) They can show the phenomena of interference and diffraction.
A if (i) and (iii) only. B if (ii) and (iv) only. C if (i), (ii) and (iv) only. D if (ii), (iii) and (iv) only.
27/33 Which of the following will be reduced when monochromatic light passes from air into glass?
(i) wavelength (ii) frequency (iii) speed (iv) photon energy
A if (i) and (iii) only. B if (ii) and (iv) only. C if (i), (iii) and (iv) only. D if all of them.
28/34 Where does refraction in the eye occur?
(i) at the front of the cornea (ii) at the front surface of the eye lens (iii) at the back surface of the eye lens (iv) at the retina
A if (i) and (ii) only. B if (ii) and (iv) only C if (i). (ii) and (iii) only. D if all of them.
29/35 A parallel beam of light, consisting of red and violet light only, is incident normally on a diffraction grating, placed on a spectrometer turntable. The diffracted light is viewed with the telescope. Which of the following statements are true?
(i) At the straight-through position (or zero order) monochromatic light will be observed. (ii) The number of spectral lines observed on each side of the zero order will be the same. (iii) For a spectrum of given order the violet light will be diffracted less than the red light. (iv) It is impossible for spectra of different orders to overlap.
A if (i) and (ii) only. B if (i) and (iv) only. C if (ii) and (iii) only. D if (ii), (iii) and (iv) only.
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