Units and Measurements Test

Result

Units and Measurements Test - 37

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Weekly Quiz Competition

Question 1
1 / -0

Dimension of energy in terms of force ($$F$$), length( $$L$$) and time ($$T$$) is

A
$$F$$$$L$$

B
$$L$$$$T$$

C
$$LF\times\dfrac{1}{T}$$

D
none of the above

Solution

We know that, energy $$E=$$ work done $$(W)=$$ force $$\times $$ displacement $$=F\times L$$
Thus, $$ [E]=[FL]$$
Question 2
1 / -0

Accuracy of potentiometer can be easily increased by :

A
increasing resistance of wire

B
decreasing resistance of wire

C
increasing the length of wire

D
decreasing the length of wire

Solution

Accuracy of potentiometer can be easily increased by decreasing the potential gradient across the potentiometer wire and that can be done by increasing its length.
Question 3
1 / -0

________ reflects quality of measuring instrument.

A
Precision

B
Accuracy

C
Accuracy and Precision

D
None of these

Solution

The degree to which several measurement provide answer very close to each other is known as precision. In other words, precision reflects the quality of measuring instrument.
Question 4
1 / -0

Which of the following is not a unit of mass?

A
Slug

B
Kilogram

C
Ton

D
Newton

Solution

The slug is the unit of mass in the US common system of units.
It is a mass that accelerates by $$1\ ft/s^2$$ when $$1$$ pound force is applied.
The kilogram (kg) is the SI unit of mass.
Ton is also represent the unit of mass and $$1$$ ton is equal to $$1000$$ kg.
Newton is the SI unit of force.
Question 5
1 / -0

Match the following.
List I List II
A. Angular momentum 1. $$[M^{-1}L^2T^{-2}]$$
B. Torque 2. $$[M^1T^{-2}]$$
C. Gravitational constant 3. $$[M^1L^2T^{-2}]$$
D. Tension 4. $$M^1L^2T^{-1}]$$

A
C-2, D-1

B
A-4, B-3

C
A-3, C-2

D
B-2, A-1

Solution

$$\left[ L \right] ={ M }^{ 1 }{ L }^{ 2 }{ T }^{ -1 }\\ \left[ \tau \right] ={ M }^{ 1 }{ L }^{ 2 }{ T }^{ -2 }\\ \left[ G \right] ={ M }^{ -1 }{ L }^{ 3 }{ T }^{ -2 }\\ \left[ T \right] ={ M }^{ 1 }{ L }^{ 1 }{ T }^{ -2 }$$
Question 6
1 / -0

The degree to which several measurement provide answer very close to each other is known as:

A
Accuracy

B
Precision

C
Accuracy and Precision

D
None of these

Solution

The degree to which several measurement provide answer very close to each other is known as precision.For example : Let the true weight of given substance is 12 kg.
The values of three measurements obtained by student are 10.1, 10.2 and 10.3. Then the measurements are said to be precise.
Question 7
1 / -0

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

A
Light year,time period

B
Light year,distance

C
Impedance,resistance

D
None of these

Solution

Light year is the unit of astronomical distance. It is equal to the distance travels by light in a year. So its dimension is $$[L]$$.
The dimension of time period is $$[T]$$
As impedance and resistance both have same unit, ohm so they will have same dimension.
Question 8
1 / -0

The dimensions of universal gravitational constant are ___________.

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

B
$$\left[ { L }^{ 2 }{ M }^{ 1 }{ T }^{ 0 } \right] $$

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

D
$$\left[ { L }^{ 3 }{ M }^{ -1 }{ T }^{ -2 } \right] $$

Solution

$$\textbf{Step 1: Dimensions of standard quantities}$$
For mass $$\rightarrow M$$
For length $$ (r) \rightarrow L$$
Force $$(F) \rightarrow MLT^{-2}$$

$$\textbf{Step 2: Dimensions of universal gravitational constant}$$

From $$F=\dfrac{GMm}{r^2}$$

$$G=\dfrac{Fr^2}{Mm}$$

$$=\dfrac{MLT^{-2}[L^2]}{[M][M]}$$

$$[G]=[M^{-1}L^3T^{-2}]$$

Hence Option $$D$$ is correct.
Question 9
1 / -0

_______ refers to a state of strict exactness.Fill the appropriate answer.

A
Accuracy

B
Precision

C
Accuracy and Precision

D
None of these.

Solution

Precision refers to a state of strict exactness.
For example : Let the true weight of given substance is 12 kg.
The values of three measurements obtained by student are 10.1, 10.2 and 10.3. Then the measurements are said to be precise.
Question 10
1 / -0

If we weigh a given substance five times, and get 5 kg each time, then your measurement is very __________.

A
Accurate

B
Precised

C
Accurate and Precised

D
Cannot be judged

Solution

Accuracy is defined as the extent upto which a given measurement agrees with the standard value for that measurement whereas the degree to which several measurement provide answer very close to each other is known as precision.
Since the measured values are very close to each other, then the measurements are said to be precised.

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Re-Attempt Weekly Quiz Competition

	List I		List II
A.	Angular momentum	1.	$$[M^{-1}L^2T^{-2}]$$
B.	Torque	2.	$$[M^1T^{-2}]$$
C.	Gravitational constant	3.	$$[M^1L^2T^{-2}]$$
D.	Tension	4.	$$M^1L^2T^{-1}]$$

Units and Measurements Test - 37

Result

Units and Measurements Test - 37

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SHARING IS CARING

Question 1

$$F$$$$L$$

$$L$$$$T$$

$$LF\times\dfrac{1}{T}$$

none of the above

Solution

Question 2

increasing resistance of wire

decreasing resistance of wire

increasing the length of wire

decreasing the length of wire

Solution

Question 3

Precision

Accuracy

Accuracy and Precision

None of these

Solution

Question 4

Slug

Kilogram

Ton

Newton

Solution

Question 5

C-2, D-1

A-4, B-3

A-3, C-2

B-2, A-1

Solution

Question 6

Accuracy

Precision

Accuracy and Precision

None of these

Solution

Question 7

Light year,time period

Light year,distance

Impedance,resistance

None of these

Solution

Question 8

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

$$\left[ { L }^{ 2 }{ M }^{ 1 }{ T }^{ 0 } \right] $$

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

$$\left[ { L }^{ 3 }{ M }^{ -1 }{ T }^{ -2 } \right] $$

Solution

Question 9

Accuracy

Precision

Accuracy and Precision

None of these.

Solution

Question 10

Accurate

Precised

Accurate and Precised

Cannot be judged

Solution

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