Units and Measurements Test

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Units and Measurements Test - 33

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following pair of quantities do not have the same dimensions?

A
Potential gradient, electric field

B
Torque, kinetic energy

C
Light year, time period

D
Impedance, reactance

Solution

Light year has the dimensions of distance and time period is time.
Question 2
1 / -0

Which of the following physical quantities do not have same dimensions?

A
Pressure and stress

B
Tension and surface tension

C
Strain and angle

D
Energy and work

Solution

Tension is a force and surface tension is force per unit area hence their dimensions are not same.
Question 3
1 / -0

The thickness of a newspaper sheet is of the order of

A
0.1 m

B
0.1 cm

C
0.1 mm

D
1 micrometre

Solution

In general normal newspaper are in the order of 0.1 mm, but if some time in magazines the thickness may be order of 0.1 cm.
Question 4
1 / -0

If the units of mass, length and time are doubled, then what happen to the unit of 'relative density'?

A
doubled

B
remains same

C
tripled

D
equatrepled

Solution

Relative density is the ratio of density of one substance to the density of water. So, relative density is a dimensionless quantity which remains the same even if the units of mass, length and time are changed.
Question 5
1 / -0

The prefix used for denoting an order of magnitude of $$\displaystyle { 10 }^{ 6 }$$ is ___________.

A
Giga

B
Kilo

C
Mega

D
Micro

Solution

Mega is the prefix used for denoting an order of magnitude of $$10^6$$.
For example : $$10^6\ Watt$$ is also termed as $$Megawatt$$
Question 6
1 / -0

The dimensions of Planck's constant are

A
$$\left [ML^{-3} T^{-1}\right ]$$

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

C
$$\left [M^{0}L^{-1} T^{-3}\right ]$$

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

Solution

$$E = hv$$, h is Planck's constant

$$\left [h\right ] = \dfrac {\left [E\right ]}{\left [v\right ]} = \dfrac {ML^{2}T^{-2}}{T^{-1}} = ML^{2} T^{-1}$$
Question 7
1 / -0

The error in measurement caused by positioning the eye incorrectly is called

A
parallel error

B
standard error

C
eye error

D
parallax error

Solution

The error in measurement caused by positioning the eye incorrectly is called parallax error.
Question 8
1 / -0

Why are metre scales are made very thin?

A
To avoid breakage and parallax

B
To avoid parallax and error in measurement

C
To avoid breakage and error in measurement

D
To make it cheap

Solution

To avoid the error due to parallax, some metre scales are made very thin or have bevelled edges.
Question 9
1 / -0

Which of the following is not a reading of meter scale?

A
$$2.5 cm$$

B
$$15 cm$$

C
$$1.5 mm$$

D
$$0.4 m$$

Solution

Meter scale has least count $$0.1cm=1mm$$ so reading should be $$integral$$ $$multiple$$ of $$1mm$$.
$$2.5cm=25mm$$ possible
$$15cm=150mm$$ possible
$$0.4m=400mm$$ possible
$$1.5mm=1.5\times 1mm$$ not possible because $$1.5$$ is not an $$integer.$$
Question 10
1 / -0

The relation between force 'F' and density 'd' is $$F=\displaystyle\frac{x}{\sqrt d}$$. The dimensions of $$x$$ are

A
$$\displaystyle [L^{-1{/2}}M^{3{/2}}T^{-2}]$$

B
$$\displaystyle [L^{-1{/2}}M^{1{/2}}T^{-2}]$$

C
$$\displaystyle [L^{-1}M^{3{/2}}T^{-2}]$$

D
$$\displaystyle [L^{-1}M^{1{/2}}T^{-2}]$$

Solution

The dimensions of $$x$$ are $$ [x]=[F]{ [d] }^{ 0.5 }=[ML{ T }^{ -2 }]{ [{ ML }^{ -3 }] }^{ 0.5 }=[{ M }^{ 1.5 }{ L }^{ -0.5 }{ T }^{ -2 }] $$

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Units and Measurements Test - 33

Result

Units and Measurements Test - 33

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SHARING IS CARING

Question 1

Potential gradient, electric field

Torque, kinetic energy

Light year, time period

Impedance, reactance

Solution

Question 2

Pressure and stress

Tension and surface tension

Strain and angle

Energy and work

Solution

Question 3

0.1 m

0.1 cm

0.1 mm

1 micrometre

Solution

Question 4

doubled

remains same

tripled

equatrepled

Solution

Question 5

Giga

Kilo

Mega

Micro

Solution

Question 6

$$\left [ML^{-3} T^{-1}\right ]$$

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

$$\left [M^{0}L^{-1} T^{-3}\right ]$$

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

Solution

Question 7

parallel error

standard error

eye error

parallax error

Solution

Question 8

To avoid breakage and parallax

To avoid parallax and error in measurement

To avoid breakage and error in measurement

To make it cheap

Solution

Question 9

$$2.5 cm$$

$$15 cm$$

$$1.5 mm$$

$$0.4 m$$

Solution

Question 10

$$\displaystyle [L^{-1{/2}}M^{3{/2}}T^{-2}]$$

$$\displaystyle [L^{-1{/2}}M^{1{/2}}T^{-2}]$$

$$\displaystyle [L^{-1}M^{3{/2}}T^{-2}]$$

$$\displaystyle [L^{-1}M^{1{/2}}T^{-2}]$$

Solution

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