Free Printable Unit & Measurement

1.

The SI standard of time is based on:

a)

the daily rotation of the earth

b)

the frequency of light emitted by $Kr^{86}$

c)

the yearly revolution of the earth about the sun

d)

none of these

2.

A nanosecond is:

a)

10^9s

b)

$10^{-9}s$

c)

$10^{-10}s$

d)

$10^{-12}s$

3.

$(5.0×10^4)×(3.0×10^{-6})=$

a)

$1.5×10^{-3}$

b)

$1.5×10^{-1}$

c)

$1.5×10^1$

d)

$1.5×10^3$

4.

5.0×10^5+3.0×10^6=

a)

$8.0×10^5$

b)

$8.0×10^6$

c)

$3.5×10^6$

d)

$5.3×10^5$

5.

$(7.0×10^6)\ /\ (2.0×10^{-6})=$

a)

$3.5$

b)

$3.5×10^{-6}$

c)

$3.5×10^{-12}$

d)

$3.5×10^{12}$

6.

Suppose A = BC, where A has the dimension $\frac{L}{M^2}$ and C has the dimension $\frac{L}{T^{-3}}$ . Then B has the dimension:

a)

$1/M^2T^3$

b)

$L^2/T^3M^2$

c)

$TM/L^2$

d)

$L^2T^3/M^2$

7.

Suppose $A=B^nC^m$ , where $A$ has dimensions LT, B has dimensions $L^2T^{-1}$ ,and $C$ has dimensions $LT^2$ . Then the exponents $n$ and $m$ have the values:

a)

$2/3\ ;\ 1/3$

b)

$2\ ;\ 3$

c)

$4/5\ ;\ −1/5$

d)

$1/5\ ;\ 3/5$

8.

The position $y$ of a particle moving along the $y$ axis depends on the time $t$ according to the equation $y=3at+5bt^2$ . The dimensions of the quantities a and b are respectively:

a)

$L^2/T\ ,\ L^3/T^2$

b)

$L/T^2\ ,\ L^2/T$

c)

$L/T\ ,\ L/T^2$

d)

$L^3/T\ ,\ T^2/L$

9.

Which of the following is the dimension of the coefficient of friction?

a)

$[M^2L^2T]$

b)

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

c)

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

d)

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

10.

A force is given by $F=at+bt^2$ where, $t$ is the time. The dimensions of $a$ and $b$ are

a)

$\left[MLT^{-4}\right]\ and\ \left[MLT\right]$

b)

$\left[MLT^{-1}\right]\ and\ \left[MLT^0\right]$

c)

$\left[MLT^{-3}\right]\ and\ \left[MLT^{-4}\right]$

d)

$\left[MLT^{-3}\right]\ and\ \left[MLT^0\right]$

11.

If the energy $\left(E\right)$ , velocity $\left(v\right)$ and force $\left(F\right)$ be taken as fundamental quantities, then the dimensions of mass will be

a)

\left[Fv^{-2}\right]

b)

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

c)

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

d)

$\left[Ev^2\right]$

12.

If force $F$ , length $L$ and time $T$ are taken as fundamental units, the dimensional formula for
mass will be

a)

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

b)

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

c)

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

d)

$\left[FL^5T^2\right]$

13.

A physical quantity X is related to four measurable quantities a, b, c and d as follows: X = a² b³ c^5/2 /d^–2. The percentage error in the measurement of a, b, c and d are 2%,2%, 4% and 4%, respectively. What is the percentage error in quantity X ?

a)

23.5%

b)

31%

c)

28%

d)

20%

14.

Measure of two quantities along with the precision of respective measuring instrument is A = 4.5 m s^–1± 0.5 m s^–1B = 0.10 s ± 0.01 s The value of A B will be

a)

(0.45 ± 0.28) m

b)

(0.45 ± 0.2) m

c)

(0.45 ± 0.21) m

d)

(0.45 ± 0.211)m

15.

A physical quantity P is related to four observables a, b, c and d as follows :
$p=\frac{a^2b^3}{d\sqrt{c}}$ The percentage errors of measurement in a, b, c and d are 1%, 3%, 4% and 2%, respectively. What is the percentage error in the quantity P ?

a)

16%

b)

17%

c)

33%

d)

18%

16.

Fill in the blank $3.0ms^{-1}=.............kmh^{-1}$

a)

$\frac{6}{5}kmh^{-1}$

b)

$\frac{54}{5}kmh^{-1}$

c)

$\frac{5}{6}kmh^{-1}$

d)

$\frac{5}{18}Kmh^{-1}$

17.

Taking force F, length L and time T to be the fundamental quantities, find the physical quantity whose dimensions formula is $FL^{-4}T^2$

a)

Momentum

b)

Material density

c)

Atmospheric pressure

d)

work done by system

18.

The density of a material in the shape of a cube is

determined by measuring three sides of the cube and its

mass. If the relative errors in measuring the mass and length are respectively 4.5% and 1% , the maximum error in

determining the density is

a)

1.5%

b)

2..5%

c)

4.5%

d)

7.5%

19.

The least count of the main scale of a screw gauge is 0.5 mm.The minimum number of divisions on its circular scale

required to measure 5 µm diameter of a wire is.

a)

50

b)

200

c)

500

d)

100

20.

The pairs of physical quantities that have the same dimensions is (are )

a)

Force &Torque

b)

Energy & Torque

c)

Momentum and angular Momentum

d)

None of these

21.

A vernier calipers has 1 mm 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

a)

0.05mm

b)

0.02

c)

0.1mm

d)

0.2mm

22.

If $A=10.6\pm0.8\ cm,and\ B=4.8\pm0.4\ cm$ then the value of $A+B\ and\ A-B$

a)

$15.4\pm1.2cm,5.8\pm0.4cm$

b)

$15.4\pm1.2cm\ ,5.8\pm1.8cm$

c)

$16.4\pm.02cm,5.8\pm0.4cm$

d)

$15.4\pm1.2cm,5.8\pm1.2cm$

23.

The distance of the Moon from the Earth has been already determined very precisely using LASER as a source of light. A laser light beamed at the Moon takes 2.54 s to return after reflection at the Moon’s surface. How much is the radius of the lunar orbit around the Earth

a)

3.81 X 10⁸m

b)

7.62 X 10⁸m

c)

3.81 X 10^-8m

d)

7.6 X 10⁸m

24.

the accuracy in measurement of mass 1.02 g is ± 0.01 g.The relative error in 1.02 g is

a)

$\pm1.2\%$

b)

$\pm1\%$

c)

$\pm0.9\%$

d)

$\pm0.88\%$

25.

A square with an edge of exactly 1 cm has an area of:

a)

$10^{-6}m^2$

b)

$10^{-4}m^2$

c)

$10^2m^2$

d)

$10^6m^2$

26.

Which of the following is a possible first step in applying the scientific method

a)

Conducting tests

b)

Formulating a hypothesis

c)

Formulation of a question

d)

Building a theory

27.

Physics is a

a)

Applied Science

b)

Mathematical Science

c)

Engineering Science

d)

Natural Science

28.

Who discovered neutron

a)

Galileo

b)

Chadwick

c)

C.V. Raman

d)

None of them

29.

The physical sciences deal with the study of:

a)

Living things

b)

Non-living things

c)

Both

d)

None

30.

The zero error belongs to the category of:

a)

constant error

b)

personal error

c)

accidental erro

d)

instrumental error

31.

Joule second is a unit of

a)

angular momentum

b)

torque

c)

energy

d)

power

32.

Two physical quantities whose dimensions are not same, cannot be :

a)

multiplied with each other

b)

divided

c)

added or substracted in the same expression

d)

added together

33.

Electron volt is a unit of

a)

charge

b)

potential difference

c)

energy

d)

magnetic force

34.

Which of the following physical quantities has different dimensions?

a)

Energy

b)

Watt hour

c)

Momentum

d)

Work

35.

The weight of a body is 12g. This statement is not correct because:

a)

the correct symbol for the unit of weight has not been used

b)

the correct symbol for gram is gm.

c)

the weight should be expressed in kg.

d)

None of the above

36.

Unit for a fundamental physical quantity is

a)

defined as best of various reference standards

b)

the smallest measurable value of the physical quantity

c)

defined as average various reference standards

d)

reference standard for the physical quantity

37.

Which of the following is a dimensional constant?

a)

Gravitational constant

b)

Dielectric constant

c)

Refractive index

d)

Relative density

38.

The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by a relation f = amxky, where a is a dimensionless constant. The values of x and y are

a)

x = 1/2 y =1/2

b)

x = -1/2 y = -1/2

c)

x = 1/2 y = -1/2

d)

x = -1/2 y = 1/2

39.

The _____ is a measure of how closed the measured value is to the true value of quantity.

a)

Precision

b)

accuracy

c)

Error

d)

None of these

40.

Assertion : When we change the unit of measurement of a quantity, its numerical value changes.

Reason : Smaller the unit of measurement smaller is its numerical value.

a)

Assertion is correct, reason is correct; reason is a correct explanation for assertion.

b)

Assertion is correct, reason is correct; reason is not a correct explanation for assertion

c)

Assertion is correct, reason is incorrect

d)

Assertion is incorrect, reason is correct.

Unit & Measurement

Total questions: 40

Worksheet time: 20mins

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