## 2017_2 TMA Solutions: PHY191 - Introductory Practical Physics I

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### 2017_2 TMA Solutions: PHY191 - Introductory Practical Physics I

1 The method of mixtures depends on the principle of --------------

conservation of energy

2 The product of two measurements 1.23cm and 2.3cm should be rounded off as

2.8cm

3 A mass of 150g when hung on a spiral spring stretches it 40cm. Assuming the spring is Hookean, the period of oscillation of the mass when slightly displaced and released is ------------------ to 2 decimal places

1.27s

4 Which of the following does NOT define relative density of a liquid?

viscosity of the liquid/viscosity of equal volume of water

5 Which of the following is NOT correct about objects which are wholly or partially immersed in a fluid?

if the upthrust is less than the weight the object rises

6 In an experiment to determine the value of g using simple pendulum, $$T^{2}$$ was plotted on the ordinate(vertical axis) and l on the abscissa(horizontal axis), where T and l are the period and length of the pendulum respectively.The value of g was determined to be $$9.72ms^{-2}$$. What was the value of the slope s of the graph to 2 decimal places? Take $$\pi=22/7$$

4.06

7 The equation $$x=at^{b}$$ is suggested for the variation of two quantities x and t where a and b are constants. The corresponding equation of a straight line graph that may be plotted from experimental values of x and t is ---------------------

logx = blogt + lo ga

8 In an experiment to verify Boyle's law, pressure P was plotted against ----------------- of volume V to obtain a linear graph that passes through the origin

1/V

9 In an experiment involving the spiral spring, F is the resoring focrce and x the extension of the spring. The equation F = - kx gives the relationship between F and x. The graph of F/N against x/cm -----------------

passes through the origin

10 The value of x and y in an experiment are expressed hypothetically by the law $$y=ae^{bx}$$. Which of the following correctly gives the linearised plot of the data obtained?

$$x$$ on the abscissa and $$log_{10}y$$ on the ordinate

11 The equation of a simple harmonic oscillator may be written as $$a = {-}\omega^{2}x$$ (the symbols have their usual meaning). In an experiment to determine the period of oscillation of a loaded spiral spring T, which of the following is the correct relationship between T and
$$\omega$$?

$$T = 2\pi/\omega$$

12 Error due to deterioration in a measuring instruments is known as ?

Back lash Error

13 R is the resistance to the motion of a train at speed V. Find, by plotting appropriate values in a graph, a law of the type $$R=a+bV^{2}$$ (i.e. determine the approximate values of a and b) connecting R and V using the following data: $$\begin{matrix} V(km/h): & 10 &20 &30 &40 & 50\\ R(kg/ton): & 8 & 10 & 15 &21 & 30 \end{matrix}$$

a = 7.35, b = 0.0085

14 In an experiment to determine the acceleration due to gravity g using the simple pendulum, $$T^{2}$$ was plotted on the vertical axis and l on horizontal axis. The graph

passes through the origin

15 Which of the follwing graphs gives the correct linear relationship between P and V in Boyle's law?

P plotted against 1/ V

16 In an experiment to determine the relationship between the current I through a piece of tungsten wire and the potential difference V across it, the theoretical relationship used was $$I = kV^n$$ , where k and n are constants which may be obtianed from a straight line graph
of the form y = mx + c, the symbols having their usual meaning. The value of k can the be experimentally determined from --------- the slope of the graph of logI plotted on the vertical axis

the intercept on the vertical axis of the graph of logI plotted on the vertical axis against logV plotted on the horizontal axis

17 Which of the following experimental techniques reduces the systematic error of the quantity being ivestigated?

adjusting an ammeter to remove zero error before measuring current

18 The smallest scale division of a stop watch is 0.1s. Calculate the possible error in the measurement of time recorded as 7.4s by an experimenter using the stop watch

0.05

19 In an experiment to determine the period of oscillation of a loaded spiral spring, the equation of a simple harmonic oscillator $$a = {-} (k/m)x$$, where the symbols have their usual meaning, was used. Write down the equation for the angular frequency $\omega$ in terms of k
and m, the effective mass of the system

$$\omega {=} \sqrt{k /m)}$$

20 The maximum possible error in a measurement is ___ of the unit of measurement suppose mistake in measuring is excluded.

$$\frac{1}{2}$$

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