Units and Measurements Test

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Units and Measurements Test - 81

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Weekly Quiz Competition

Question 1
1 / -0

The earth attracts a body of mass $$1$$ kg with a force of $$10$$ N. The mass of boy is $$50$$ kg. His weight will be

A
$$50$$ kg

B
$$500$$ N

C
$$50$$ N

D
$$5$$ N

Solution

Using unitary method,
For 1 kg ,force acting is 10N
Thus for 50 kg ,force acting is $$50\times 10$$ = 500N
Question 2
1 / -0

The magnitude of any physical quantity

A
Depends on the method of measurement

B
Does not depend on the method of measurement

C
Is more in SI system than in CGS system

D
Directly proportional to the fundamental units of mass, length
and time

Solution

The magnitude is a absolute quantity and it does not depend on the method of measurement.
Question 3
1 / -0

Which pair has the same dimensions

A
Work and power

B
Density and relative density

C
Momentum and impulse

D
Stress and strain

Solution

The impulse is defined as the rate of change of momentum.
Impulse = change in momentum

so dimensions of both quantities will be same and equal to $$MLT^{-1}$$
Question 4
1 / -0

The dimensional formula for impulse is same as the dimensional
formula for

A
Momentum

B
Force

C
Rate of change of momentum

D
Torque

Solution

The impulse is defined as the rate of change of momentum of a body.

So, the dimension of impulse will be same as that of momentum.
Question 5
1 / -0

Select the correct alternative
A block of wood of density $$0.8 g cm ^ 3 $$ has a volume of 76 $$cm ^3$$ . The mass of block is

A
60 . 8 g

B
75 g

C
48 g

D
0.013 g

Solution

We know that
Mass = density × volume
Therefore putting the values we have
Mass = 0.8 × 76 gm
Mass = 60.8 gm
Hence the correct option is A.
Question 6
1 / -0

The dimensional formula for r.m.s. (root mean square) velocity is

A
$$M^0LT^{-1}$$

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

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

D
$$MLT^{-3}$$

Solution

The dimensional formula for the RMS velocity is same as the normal velocity.

So, dimension of RMS velocity is = $$[M^0LT^{-1}]$$
Question 7
1 / -0

If C and L denote capacitance and inductance respectively, then the dimensions of LC are

A
$$M^0L^0T^0$$

B
$$M^0L^0T^2$$

C
$$M^2L^0T^2$$

D
$$MLT^2$$

Solution

The resonance frequency of the series RLC circuit is given as:
$$f=\dfrac{1}{2 \pi \sqrt{LC}}$$

$$\Rightarrow =\dfrac{1}{f^2}=[M^0L^0T^2]$$
Question 8
1 / -0

Dimensions of CR are those of

A
Frequency

B
Energy

C
Time period

D
Current

Solution

According to the definitions:
$$Capacity \times Resistance =\dfrac{Charge}{Potential}\times \dfrac{Volt}{amp}$$

$$=\dfrac{amp \times second\times Volt}{Volt \times amp}=second$$
Question 9
1 / -0

The dimension of quantity (L / RCV) is

A
$$[A]$$

B
$$[A^2]$$

C
$$[A^{-1}]$$

D
None of these

Solution

The above equation can be written as:
$$\dfrac{L}{RCV}=[\dfrac{L}{R}]\dfrac{1}{CV}$$

We know that $$\dfrac LR$$ is time constant and $$CV$$ is the charge of capacitor.
$$=\dfrac{T}{Q}=[A^{-1}]$$
Question 10
1 / -0

The dimensions of "time constant" $$\dfrac{L}{R}$$ during growth and decay of current in all inductive circuit is same as that of

A
Constant

B
Resistance

C
Current

D
Time

Solution

$$\dfrac LR$$ is defined as the time constant of a circuit.

So, $$\dfrac{L}{R}$$ =Time constant.

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Re-Attempt Weekly Quiz Competition

Units and Measurements Test - 81

Result

Units and Measurements Test - 81

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SHARING IS CARING

Question 1

$$50$$ kg

$$500$$ N

$$50$$ N

$$5$$ N

Solution

Question 2

Depends on the method of measurement

Does not depend on the method of measurement

Is more in SI system than in CGS system

Directly proportional to the fundamental units of mass, lengthand time

Solution

Question 3

Work and power

Density and relative density

Momentum and impulse

Stress and strain

Solution

Question 4

Momentum

Force

Rate of change of momentum

Torque

Solution

Question 5

60 . 8 g

75 g

48 g

0.013 g

Solution

Question 6

$$M^0LT^{-1}$$

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

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

$$MLT^{-3}$$

Solution

Question 7

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

$$M^0L^0T^2$$

$$M^2L^0T^2$$

$$MLT^2$$

Solution

Question 8

Frequency

Energy

Time period

Current

Solution

Question 9

$$[A]$$

$$[A^2]$$

$$[A^{-1}]$$

None of these

Solution

Question 10

Constant

Resistance

Current

Time

Solution

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Directly proportional to the fundamental units of mass, length
and time