Units and Measurements Test

Result

Units and Measurements Test - 88

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Weekly Quiz Competition

Question 1
1 / -0

A quantity $$Q = \frac { E L ^ { 2 } } { m ^ { 5 }{G}^{2} }$$ where $$E, I, G$$ and $$m$$ are energy, angular momentum, gravitational constant and mass respectively. What are the dimensional of Q ?

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

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

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

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

Solution
Question 2
1 / -0

If force $$F ,$$ acceleration $$A$$ and time T are are chosen asfundamental quantities, the dimensiogs of energy in the system are

A
$$F A T ^ { 2 }$$

B
$$F ^ { - 2 } A ^ { - 1 } T$$

C
$$F ^ { 0 } A T ^ { 2 }$$

D
$$F ^ { - 1 } A ^ { 2 } T ^ { 0 }$$

Solution
Question 3
1 / -0

The term $$( 1 / 2 )$$ pv $$^ { 2 }$$ occurs in Bernaullis equations, with p being the density of a fluid and v its speed The dimensions of this term are

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

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

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

D
$$m ^ { 2 } L ^ { 0 } T ^ { - 2 } 1$$

Solution
Question 4
1 / -0

The dimensional formula for Stefan's constant is

A
$$M^0L^0T^{-2}K^{-4}$$

B

$$M^1L^0T^{-3}K^{-4}$$

C
$$M^1L^1T^{-2}K^{-2}$$

D
$$M^0L^2T^{-3}K^{-3}$$

Solution
Question 5
1 / -0

A force acts for $$0.5$$ s on a body of mass $$1.5$$ kg initially at rest. When the force ceases to act, the body is found to cover a distance of $$5$$ m in $$2$$ s. The magnitude of the applied force is

A
$$5.0$$ N

B
$$7.5$$ N

C
$$10$$ N

D
$$12.5$$ N

Solution
Question 6
1 / -0

The dimensional formula of $$\left( \dfrac { slug }{ barn } \right) $$ is

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

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

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

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

Solution
Question 7
1 / -0

The dimensions of (force constant $$$$ \ mass)$$^ { 1 / 2 }$$ are the same as that

A
acceleration

B
angular acceleration

C
angular velocity

D
none of the above

Solution
Question 8
1 / -0

Dimensional formula for electromotive force is same as that for

A
potential

B
current

C
force

D
energy

Solution
Question 9
1 / -0

The dimensions of $$\dfrac { mass }{ Force\quad constant\quad of\quad SHM } $$ are same as that of :

A
time

B
$${ \left( time \right) }^{ 2 }$$

C
acceleration

D
$$\dfrac { 1 }{ acceleration } $$

Solution
Question 10
1 / -0

If the speed of light (c) , acceleration due to gravity (g) and pressure (p) are taken as the fundamental quantities , then the dimensions of length will be

A
$$ c^2g^{-1}p^0 $$

B
$$ cg^0p^{-1} $$

C
$$ c^{-1}gp^0 $$

D
$$ cg^{-1}p^0 $$