Problems and Improvements in an Experiment

The given figure shows an apparatus used to test the hypothesis that the resistance $R$ of a wire is related to its length $l$ by the formula $R=kl$, where $k$ is a constant. The current is kept constant and the voltmeter reading is taken at two different values of $l$, for $l=0.30 \mathrm{m}$ and $0.50 \mathrm{m}$.

Identify the problems with this experiment and write suggestions for their improvement.

The given figure shows an apparatus used to test the hypothesis that the resistance $R$ of a wire is related to its length $l$ by the formula $R=kl$, where $k$ is a constant. The current is kept constant and the voltmeter reading is taken at two different values of $l$, for $l=0.30 \mathrm{m}$ and $0.50 \mathrm{m}$.

What problems are likely to arise using this apparatus?

Consider an experiment in which a block is being pulled using the force meter to find the force $F$ needed to make a block just start to move. An extra mass is added on top of the block to see whether the relationship $F=km$ is obeyed, where $m$ is total mass of the block and $k$ is a constant.

Describe the problems that could be observed for this experiment.

Consider an experiment in which a block is being pulled using the force meter to find the force $F$ needed to make a block just start to move. An extra mass is added on top of the block to see whether the relationship $F=km$ is obeyed, where $m$ is total mass of the block and $k$ is a constant.

Describe five problems with the improvements that could be made for this experiment.

Consider an experiment of a simple pendulum and one complete oscillation.

One complete oscillation is either from $A$to $C$ and then back to $A$, or from $B$ to $C$ then back to $B$, then to $A$ and back to $B$.

What could be the possible problems and their improvement$\left(\mathrm{s}\right)$ to remove the uncertainties in the measurement of the time period of one oscillation, when the length of the string and mass of the bob is fixed?

Consider an experiment of a simple pendulum and one complete oscillation.

One complete oscillation is either from $A$to $C$ and then back to $A$, or from $B$ to $C$ then back to $B$, then to $A$ and back to $B$.

What could be the possible problems in the measurement of the time period of one oscillation, when the length of the string and mass of the bob is fixed?

Consider an experiment in which two objects of varying mass is being dropped from the same height and the time they take to fall to the ground is being recorded. The idea is to observe that whether both of the masses will take same or different time to hit the ground.

Suggest some of the problems which may occur in this experiment along with their improvements.

Consider an experiment in which two objects of varying mass is being dropped from the same height and the time they take to fall to the ground is being recorded. The idea is to observe that whether both of the masses will take same or different time to hit the ground.

Suggest some of the problems which may occur in this experiment.

Consider an experiment in which a student dropped a ball$‐$bearing of diameter $d$ into sand and measured the depth $D$ of the crater produced. He dropped two ball$‐$bearings of different diameters from the same height and measured the depth of the crater using a $30 \mathrm{cm}$ ruler. Suggest some of the problems with this simple method used, together with some improvements.

Consider an experiment in which a student dropped a ball$‐$bearing of diameter $d$ into sand and measured the depth $D$ of the crater produced. He dropped two ball$‐$bearings of different diameters from the same height and measured the depth of the crater using a $30 \mathrm{cm}$ ruler. Suggest some of the problems with this simple method used.

Consider an experiment of a simple pendulum and one complete oscillation.

One complete oscillation is either from $A$to $C$ and then back to $A$, or from $B$ to $C$ then back to $B$, then to $A$ and back to $B$.

What could be the possible improvement$\left(\mathrm{s}\right)$ to remove the uncertainties in the measurement of the time period of one oscillation, when the length of the string and mass of the bob is fixed?

Consider an experiment in which a block is being pulled using the force meter to find the force $F$ needed to make a block just start to move. An extra mass is added on top of the block to see whether the relationship $F=km$ is obeyed, where $m$ is total mass of the block and $k$ is a constant.

Describe four problems with the improvements that could be made for this experiment.

Quantities $\mathrm{A} \& \mathrm{B}$ have the following values: $A=3.0\pm 0.2 \mathrm{cm},B=2.0\pm 0.1 \mathrm{cm}$. Find the value of the following expressions and their absolute uncertainties $\sqrt{A}$.

The size of a small toy balloon depends on atmospheric pressure. What are the independent variables?

The terminal velocity of an air bubble that rises in water is affected by the size of the bubble. Suggest a quantity to be controlled.

The terminal velocity of an air bubble that rises in water is affected by the size of the bubble. What is the dependent?

The volume of air inside a bottle affects its resonant frequency. How would you find the frequency of the sound is related to the time period.

The volume of air inside a bottle affects its resonant frequency. Suggest one quantity to be controlled.

A cup of tea is left on a table for several hours. The temperature of the tea in the cup is modelled by $T\left(t\right)=25+69e^{-0.143t}$, where $t$ represents the time in minutes that the cup of tea has been on the table. Write down the equation of the horizontal asymptote of the graph of $T$.

Teacher Tom makes a cup of coffee and leaves it on his table.

Its temperature $\left(H^{°}C\right)$ is modelled by the function $H=\left(65\right)2^{-\frac{t}{2}}+25,$ where $t$ is the time in minutes after Tom makes the coffee.

State the initial temperature of the coffee.