Free Printable Measurement XI B

1.

Which of the following is an S.I. based unit?

a)

Current

b)

Gram

c)

Kelvin

d)

Volt

2.

$P=\frac{\alpha}{\beta}e^{-\frac{az}{k\theta}}$
The variation of pressure P with distance z is given by the above expression.
where $\alpha,\beta\$ are constants, k is Boltzmann constant and
$\theta$ is temperature. The dimensional formula of $\beta$ will be_______

a)

$\left[M^{-1}L\ T^2\right]$

b)

$\left[M^0L^0T^0\right]$

c)

$\left[M^0L^2T^0\right]$

d)

$\left[M^1L^{-1}T^{-2}\right]$

3.

If the force (F), velocity (V) and time (T) are chosen as the fundamental units, the dimensions of mass are:

a)

$\left[FVT^{-1}\right]$

b)

$\left[FVT^{-2}\right]$

c)

$\left[FV^{-1}T^{-1}\right]$

d)

$\left[FV^{-1}T\right]$

4.

The dimensional formula for energy E is

a)

$\left[ML^2T^{-2}\right]$

b)

$\left[ML^{ }T^{-2}\right]$

c)

$\left[ML^2T^{ }\right]$

d)

$\left[L^2T^{-2}\right]$

5.

Find the dimensions of a/b in the relation

F\ =\ a\sqrt{x}\ +\ bt^2

where F is force, x is distance and t is time

a)

$\left[L^{ }T^2\right]$

b)

$\left[L^{-\frac{1}{2}}T\right]$

c)

$\left[L^{-1}T^2\right]$

d)

$\left[L^{-\frac{1}{2}}T^2\right]$

6.

$X\ =\ A\ +\ vt$
In the above expression X is distance, v is velocity and t is time. The dimensions of A will be equivalent to ________

a)

time

b)

velocity

c)

distance

d)

none of the options

7.

Find the result of 12.637- 2.42 with proper significant figures

a)

10.217

b)

10.2

c)

10.22

d)

10

8.

Find the result of 46.75/1.3 with proper significant figures

a)

35.96

b)

36

c)

35.9

d)

35.961

9.

Round off the below number up to 4 digits

377234

a)

377200

b)

377.222

c)

377

d)

30000

10.

A physical quantity is x is given by

x\ =\ a^2\times b^2

If the percentage errors of a and b are 3% and 1% respectively then calculate the percentage error in the calculation of x

a)

9%

b)

6%

c)

8%

d)

7%

11.

If the time period of a pendulum is measured as 2.1 s, 2.2 s, 2.1 s and 2.2 s. The mean absolute error will be

a)

0.15

b)

0.05

c)

0.1

d)

2.15

12.

How many significant figures does the following number have: 0.002040

a)

6

b)

4

c)

3

d)

2

13.

How many significant figures does the following number have: 0.002040

a)

6

b)

4

c)

3

d)

2

14.

How many significant figures does the following number have: 100.3

a)

4

b)

3

c)

5

d)

2

15.

The answer to 12.34 + 1.234 + 0.1234 will have how many digits after the decimal point?

a)

4

b)

3

c)

2

d)

1

16.

Round 0.010229 to four sig figs

a)

1022

b)

1023

c)

0.01023

d)

0.01022

17.

How close a measurement is to the true value is called..

a)

Accuracy

b)

Precision

c)

Significant

d)

Estimate

18.

Use of a tool that offers measurement to small degrees is an example of..

a)

Accuracy

b)

Precision

c)

Significant

d)

Estimate

19.

Which is the BEST way to write 507392 using scientific notation with 2 significant figures?

a)

5.0 x 10⁵

b)

5.07 x 10⁵

c)

5.1 x 10⁵

d)

5.07 x 10^-5

20.

How many significant figures does the following number have: 0.002040

a)

6

b)

4

c)

3

d)

2

21.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

22.

How many significant figures in 20.3400

a)

4

b)

6

c)

5

d)

2

23.

Precision is

a)

Measurements that are close together

b)

Measurements that are close to the true value

c)

How close measurements are to the true value

d)

How close together measurements are to each other

24.

Accuracy is

a)

Measurements that are close together

b)

Measurements that are close to the true value

c)

How close measurements are to the true value

d)

How close together measurements are to each other

25.

Which value is used to determine a set of data's accuracy?

a)

Precision

b)

Deviation

c)

Average

d)

Percent Error

26.

Record the following in cm

a)

1.0

b)

1.2

c)

1.25

d)

1.250

e)

1.30

27.

Which of the following is the unit of latent heat:

a)

J

b)

J mol^-1

c)

J Kg^-1

d)

J Kg^-1 mol^-1

28.

The unit of force and length are doubled, the unit of energy will be :

a)

1/4 times

b)

1/2 times

c)

2 times

d)

4 times

29.

If force (F), acceleration (a) and time (T) are used as the fundamental units, the dimensional formula for length will be:

a)

F⁰ a T²

b)

F a⁰ T²

c)

F a² T⁰

d)

F a T

30.

Angular momentum has the same dimensions as :

a)

Planck's constant

b)

Universal gravitational constant

c)

Rydberg constant

d)

Boltzmann constant

31.

If P is the pressure , ρ is the density and E is the energy of a bubble , the quantity P^-5/6 ρ^1/2 E^1/3 has got the dimensions of :

a)

length

b)

mass

c)

time

d)

velocity

32.

DIMENSION OF IMPLUSE

a)

MLT

b)

MLT^-2

c)

MLT¹

d)

MLT^-1

33.

DIMENSION OF UNIVERSAL GRAVITATIONAL CONSTANT (G)

a)

ML²T²

b)

M^-1L³T^-2

c)

M¹L³T^-2

d)

M^-1L³T²

34.

Dimension of work

a)

M¹ L^-1 T ^-2

b)

M¹ L²T ^-2

c)

M¹ L^-1 T ²

d)

M¹ L¹ T ^-2

35.

What is the temperature and uncertainty indicated by this thermometer?

a)

24.1 ± 0.5 °C

b)

24.05 ± 0.05 °C

c)

24 ± 1 °C

d)

28.0 ± 0.1°C

36.

What is the mass and uncertainty indicated by this electronic balance?

a)

198.61 ± 0.01 g

b)

198.61 ± 0.02 g

c)

198.61 ± 0.05 g

d)

198.61 ± 0.005 g

37.

What is a reasonable circumference to report for the glass globe?

a)

62.2 ± 0.5 cm

b)

62 ± 1 cm

c)

62.20 ± 0.05 cm

d)

63.8 ± 0.1 cm

38.

Which best describes the target?

a)

Precise, but not accurate

b)

Accurate but not precise

c)

Precise and accurate

d)

Neither accurate nor precise

39.

Which best describes the target?

a)

A lot of systematic error

b)

A lot of random error

c)

No random error

40.

A student uses a different balance for the third trial of their experiment. This would be an example of:

a)

random error

b)

systematic error

41.

Which student is the most ACCURATE?

a)

A

b)

B

c)

C

42.

What is the length of the black bar?

a)

5 cm

b)

4.300 cm

c)

4.30 cm

d)

4.3 cm

43.

A measurement result is considered ________ if it is judged to be close to the true value. It is influenced by random and systematic errors.

a)

Precise

b)

Accurate

c)

An error

d)

Resolution

44.

A quality denoting the closeness of agreement (consistency) between values obtained by repeated measurement. It is influenced by random effects and can be expressed numerically.

a)

Repeatability

b)

Precision

c)

Uncertainty

d)

Resolution

45.

True or False?

Repeating a reading never removes the systematic error.

a)

True

b)

False

46.

1. In an experiment, a radio-controlled car takes 2.50 ± 0.05s to travel 40.0 ± 0.1m.

What is the car’s average speed and the uncertainty in this value?

a)

16 ± 1ms-1

b)

16.0 ± 0.2ms-1

c)

16.0 ± 0.4ms-1

d)

16.00 ± 0.36ms^-1

47.

Variables x and y are related by the equation y = p– qx where p and q are constants. Values of x and y are measured experimentally. The results contain a systematic error. Which graph best represents these results?

a)

A

b)

B

c)

C

d)

D

48.

The speed of a car is calculated from measurements of the distance travelled and the time taken. The distance is measured as 200m, with an uncertainty of ±2m. The time is measured as 10.0s, with an uncertainty of ±0.2s. What is the percentage uncertainty in the calculated speed?

a)

±0.5%

b)

±1%

c)

±2%

d)

±3%

49.

In an experiment to determine the acceleration of free fall g, the time t taken for a ball to fall through distance s was measured. The uncertainty in the measurement of s is estimated to be 2%. The uncertainty in the measurement of t is estimated to be 3%. The value of g is determined using the equation:

g=\frac{2s}{t^2}

What is the uncertainty in the calculated value of g?

a)

1%

b)

5%

c)

8%

d)

11%

50.

A force of 5 N may be represented by two perpendicular components OY and OX as shown in the diagram, which is not drawn to scale. OY is of magnitude 3 N. What is the magnitude of OX?

a)

2N

b)

3N

c)

4N

d)

5N

51.

Four students each made a series of measurements of the free fall g. The table shows the results obtained. Which set of results could be described as precise but not accurate?

a)

А

b)

В

c)

С

d)

D

52.

Four different students use a ruler to measure the length of a 15.0cm pencil. Their measurements are recorded on four different charts. Which chart shows measurements that are precise but not accurate?

a)

A

b)

B

c)

C

d)

D

53.

The density of the material of a coil of thin wire is to be found. Which set of instruments could be used to do this most accurately?

a)

metre rule, protractor, spring balance

b)

micrometer, metre rule, top-pan balance

c)

stopwatch, newton-meter, vernier calipers

d)

tape measure, vernier calipers, lever balance

54.

A person collected the time period of a pendulum in a windy room. He only realised that he should have turned the fan off. What error will his data have?

a)

Random

b)

Systemic

Measurement XI B

Total questions: 54

Worksheet time: 28mins

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