Units and Measurements Test

Result

Units and Measurements Test - 41

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Weekly Quiz Competition

Question 1
1 / -0

Dimensional formula of pressure is :

A
$$[ML^{-1} T^{-2}]$$

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

C
$$[M^{-1} LT^{-2}]$$

D
$$[ML^{-2} T]$$
Question 2
1 / -0

Velocity gradient has same dimensional formula as:

A
Angular frequency

B
Angular momentum

C
Velocity

D
None of these

Solution
Question 3
1 / -0

Select the correct alternative
A metre ruler is graduated in:

A
$$m$$

B
$$cm$$

C
$$mm$$

D
$$km$$

Solution

A meter ruler is graduated in: millimeter (mm) i.e. the shortest distance which can be measured by a meter ruler is 1mm.
Question 4
1 / -0

$$MLT^{-1}$$ represents the dimensional formula of

A
Power

B
Momentum

C
Force

D
Couple

Solution

We know that momentum is defined as:
$$p=mv$$
Momentum = $$ [MLT^{-1} ]$$
Question 5
1 / -0

Dimensional formula of heat energy is

A
$$ML^2 T^{-2}$$

B
$$ML T^{-1}$$

C
$$M^0L^0 T^{-2}$$

D
None of these

Solution

Heat is a form of energy and all form of energy have the same dimension as that of work done.

$$Q=[ML^2T^{-2}]$$
Question 6
1 / -0

Dimensions of frequency are

A
$$M^0L^{-1}T^0$$

B
$$M^0L^0T^{-1}$$

C
$$M^0L^0T$$

D
$$MT^{-2}$$

Solution

Frequency is defined as the reciprocal of the time period.

Frequency=$$\dfrac{1}{T}=[M^0L^0T^{-1}]$$
Question 7
1 / -0

The expression $$[ML^2T^{-2}]$$ represents

A
Pressure

B
Kinetic energy

C
Momentum

D
Power

Solution

The dimension $$[ML^2T^{-2}]$$ is the dimension of the energy.

So, option $$B$$ is correct.
Question 8
1 / -0

The dimensions of pressure are

A
$$MLT^{-2}$$

B
$$ML^{-2}T^{2}$$

C
$$ML^{-1}T^{-2}$$

D
$$MLT^{2}$$

Solution

We know that the pressure is defined as :
$$Pressure=\dfrac{Force}{Area}$$

So, the dimension of pressure is:
[Pressure] = $$[ML^{-1}T^{-2}]$$
Question 9
1 / -0

Dimensions of kinetic energy are

A
$$ML^2T^{-2}$$

B
$$M^2LT^{-1}$$

C
$$ML^2T^{-1}$$

D
$$ML^3T^{-1}$$

Solution

The formula for the kinetic energy is written as:
Kinetic energy=$$\dfrac{1}{2}mv^2$$

$$=M[LT^{-1}]^2$$

$$=[ML^2T^{-2}]$$
Question 10
1 / -0

Dimensions of time in power are

A
$$T^{-1}$$

B
$$T^{-2}$$

C
$$T^{-3}$$

D
$$T^{-0}$$

Solution

The power has the dimension of
$$[ML^2T^{-3}]$$

So, the dimension of time in power is $$T^{-3}$$.

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Re-Attempt Weekly Quiz Competition

Units and Measurements Test - 41

Result

Units and Measurements Test - 41

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SHARING IS CARING

Question 1

$$[ML^{-1} T^{-2}]$$

$$[ML^{-2} T^{-1}]$$

$$[M^{-1} LT^{-2}]$$

$$[ML^{-2} T]$$

Question 2

Angular frequency

Angular momentum

Velocity

None of these

Solution

Question 3

$$m$$

$$cm$$

$$mm$$

$$km$$

Solution

Question 4

Power

Momentum

Force

Couple

Solution

Question 5

$$ML^2 T^{-2}$$

$$ML T^{-1}$$

$$M^0L^0 T^{-2}$$

None of these

Solution

Question 6

$$M^0L^{-1}T^0$$

$$M^0L^0T^{-1}$$

$$M^0L^0T$$

$$MT^{-2}$$

Solution

Question 7

Pressure

Kinetic energy

Momentum

Power

Solution

Question 8

$$MLT^{-2}$$

$$ML^{-2}T^{2}$$

$$ML^{-1}T^{-2}$$

$$MLT^{2}$$

Solution

Question 9

$$ML^2T^{-2}$$

$$M^2LT^{-1}$$

$$ML^2T^{-1}$$

$$ML^3T^{-1}$$

Solution

Question 10

$$T^{-1}$$

$$T^{-2}$$

$$T^{-3}$$

$$T^{-0}$$

Solution

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