Accuracy and Precision

Q.

What are the Four Rules of Maths?

Q.

A uniform metallic wire is elongated by $0.04m$ when subjected to a linear force $F$. The elongation, if its length and diameter is doubled and subjected to the same force will be ________$cm$.

Q.

How do you find the zero correction?

Q.

A physical quantity $z$ depends on four observables $a,b,c$ and $d$, as $z=\left[\frac{a^2{b}^{{\displaystyle \frac{2}{3}}}}{\sqrt{c}{d}^3}\right]$. The percentages of error in the measurement of $a,b,c$ and $d$ are $2\%,1.5\%,4\%,$ and $2.5\%$ respectively. The percentage of error in $z$ is

1. $16.5\%$

2. $12.25\%$

3. $13.5\%$

4. $14.5\%$

Q.

A physical quantity $Q$ is found to depend on observables $x,y$ and $z$ obeying relation $Q=\frac{x^3{y}^2}{z}$. The percentage error in the measurement of $x,y$ and $z$ are $1\%,2\%$ and $4\%$ respectively. What is the percentage error in the quantity $Q$ ?

1. $4\%$

2. $3\%$

3. $11\%$

4. $1\%$

Q.

In order to determine the Young’s Modulus of a wire of radius $0.2cm$ (measured using a scale of least count $=0.001cm$) and length $1m$(measured using a scale of least count $=1mm$), a weight of mass $1kg$ (measured using a scale of least count$=1g$) was hanged to get the elongation of$0.5cm$ (measured using a scale of least count $0.001cm$). What will be the fractional error in the value of Young’s Modulus determined by this experiment?

1. $9\%$

2. $1.4\%$

3. $0.9\%$

4. $0.14\%$

Q.

A vernier calipers has $1mm$ marks on the main scale. It has$20$ equal divisions on the Vernier scale which match with $16$ main scale divisions. For this Vernier calipers, the least count is

1. $0.02mm$

2. $0.05mm$

3. $0.1mm$

4. $0.2mm$

Q.

In an experiment the angles are required to be measured using an instrument. 29 division of the main scale exactly coincide with the 30 division of the vernier scale. If the smallest division of the main scale is half-a-degree ( $=0.5°$), then the least count of the instrument is

1. one minute

2. half minute

3. one degree

4. half degree

Q. Choose the correct statement(s).

1. Accuracy and precision are independent.
2. Precision increases with accuracy.
3. Accuracy gives the closeness of measured value with the true value.
4. Precision gives the closeness of measured value with the true value.

Q.

What is the function of a ratchet in a screw gauge?

Q.

Which of the following measurements is most precise? (a) 4.00 mm (b) 4.00 cm (c) 4.00 m (d) 40.00 m

1. 4.00 mm

2. 4.00 cm

3. 4.00 m

4. 40.00 m

Q.

In the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning fork is $0.1\mathrm{m}$ When this length is changed to $0.35\text{m}$ the same tuning fork resonates with the first overtone. Calculate the end correction

1. $0.012\text{m}$

2. $0.025\text{m}$

3. $0.05\text{m}$

4. $0.024\text{m}$

Q.

What is the type of zero error when the vernier scale zero lies towards

(i) right of the main scale zero,

(ii) left of the main scale zero?

Q.

Is it possible to increase the degree of accuracy by mathematical manipulations? Support your answer with an example.

Q. The radii of the axle and the wheel are increased by 3 times and 5 times respectively.The new Mechanical advantage obtain of the wheel and axle

Q.

A wire of length $\text{L}$and radius r is fixed at one end. When a stretching force $\text{F}$ is applied at free end, the elongation in the wire is $\text{l}$. When another wire of same material but of length $\text{2L}$ and radius $\text{2r}$ is also fixed at one end is stretched by a force $\text{2F}$ applied at free end, the elongation in the second wire will be?

1. $\frac{\text{l}}{4}$

2. $\text{2l}$

3. $\text{l}$

4. $\frac{\text{l}}{2}$

Q. Accuracy is the closeness of _____ value and true value.

1. measured
2. maximum
3. apparent
4. perceived

Q.

The pitch of a screw gauge is $0.5\text{mm}$ and there are $100$divisions on its circular scale. The instrument reads $+2$ divisions when nothing is put in between its jaws. In measuring the diameter of a wire, there are $8$ divisions on the main scale and $83$ divisions coincide with the reference line, then the diameter of the wire is?

1. 4.05mm

2. 4.405mm

3. 3.05mm

4. 1.25mm

Q.

Convert $32$ $cm$ into $hectometer$.

Q.

What is meant by zero error?

Q. Parallax error is a human error.

1. True
2. False

Q. Draw straight lines corresponding to the following equation

Q.

The thimble of a screw gauge has 50 divisions. The spindle advances 1 mm when the screw is turned through two revolutions. What is the:

a) Pitch of the screw gauge?

b) Least count of the screw gauge?

Q.

Express $580g$ as kilograms $\left(kg\right)$ using decimals.

Q. Ashwin is required to take the measurement of a wooden box. Which of the following should be the proper position of his eye for taking the reading?

1. 
2. 
3. 
4. 

Q.

Express $7195g$ as kilogram $\left(kg\right)$ using decimals.

Q.

Convert $2500g$ mass into $kg$?