Recommended MCQs - (NEW NCERT PATTERN) Units and Measurement Physics - XI NEET Practice Questions, MCQs, Past Year Questions (PYQs), NCERT Questions, Question Bank, Class 11 and Class 12 Questions, and PDF solved with answers

Identify the pair whose dimensions are equal:

1.	stress and energy
2.	force and work
3.	torque and work
4.	velocity gradient and time

Subtopic: Dimensions |

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Q2:

If $u_1$ and $u_2$ are the units selected in two systems of measurement and $n_1$ and $n_2$ are their numerical values, then:

1.	$n_1u_1=n_2u_2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$
2.	$n_1u_1+n_2u_2=0$
3.	$n_1n_2=u_1u_2$
4.	$(n_1+u_1)=(n_2+u_2)$

Subtopic: Dimensions |

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Q3:

The dimensional formula of modulus of rigidity is:
1.

[{M L}^{- 1} T^{- 2}]

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

[{M L}^{- 2} T^{2}]

$\left [ \mathrm{ML}^{-2} \mathrm{~T}^{2} \right ]$
3.

$\left [ \mathrm{MLT}^{-1} \right ]$
4.

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

Subtopic: Dimensions |

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Q4:

The velocity $v$ of a particle at time $t$ is given by ${v}={at}+\frac{{b}}{{t}+{c}}.$ The dimensions of ${a}$ , ${b}$ , and ${c}$ are respectively:
1. ${\left[{LT}^{-2}\right],[{L}],[{T}]}$
2. ${\left[{L}^2\right],[{T}] \text { and }\left[{LT}^2\right]}$
3. ${\left[{LT}^2\right],[{LT}] \text { and }[{L}]}$
4. ${[{L}],[{LT}], \text { and }\left[{T}^2\right]}$

Subtopic: Dimensions |

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Q5:

If the dimensions of a physical quantity are given by

$\left[M^aL^bT^c\right],$ then the physical quantity will be:

1.	pressure if $a=1, ~b=-1,~c=-2$
2.	velocity if $a=1,~b=0,~c=-1$
3.	acceleration if $a=1,~b=1,~c=-2$
4.	force if $a=0, ~b= -1,~c=-2$

Subtopic: Dimensions |

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NEET - 2009

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Q6:

The universal gravitational constant is dimensionally represented as:
1. $\left[ML^2T^{-1}\right]$
2. $\left[M^{-2}L^3T^{-2}\right]$
3. $\left[M^{-2}L^2T^{-1}\right]$
4. $\left[M^{-1}L^3T^{-2}\right]$

Subtopic: Dimensions |

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AIPMT - 2004

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Q7:

The force

$F$ acting on a body as a function of position

$(x)$ and time

$(t)$ is expressed as

$F=A \sin \left(k_1 x\right)+B \cos \left(k_2 t\right).$ From the given information, match Column I with Column II.

	Column I		Column II
$(\mathrm A)$	Dimensions of $A$	$(\mathrm P)$	$[M^0L^0T^{-1}]$
$(\mathrm B)$	Dimensions of $k_{1}$	$(\mathrm Q)$	$[M^0L^{-1}T^{-1}]$
$(\mathrm C)$	Dimensions of $k_{2}$	$(\mathrm R)$	$[MLT^{-2}]$
$(\mathrm D)$	Dimensions of $k_{1}k_{2}$	$(\mathrm S)$	$[M^0L^{-1}T^{0}]$

Codes:

1.	$\mathrm {A \rightarrow R, B \rightarrow S, C \rightarrow P, D \rightarrow Q }$
2.	$\mathrm {A \rightarrow P, B \rightarrow Q, C \rightarrow R, D \rightarrow S }$
3.	$\mathrm {A \rightarrow R, B \rightarrow P, C \rightarrow Q, D \rightarrow S }$
4.	$\mathrm {A \rightarrow S, B \rightarrow P, C \rightarrow Q, D \rightarrow R}$

Subtopic: Dimensions |

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Q8:

Which, among the pairs of quantities has the same dimensions?

1.	${\large\frac{\text{force}}{\text{volume}}},\text{ surface tension}$
2.	$\text{torque},\text{ pressure}\times\text{volume}$
3.	$\text{specific heat}\times\text{mass},\text{ energy}$
4.	${\large\frac{\text{pressure}}{\text{acceleration}}},\text{ density}$

Subtopic: Dimensions |

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Q9:

The dimensional formula of pressure is:

1.	$\left[MLT^{-2}\right]$	2.	$\left[ML^{-1}T^{2}\right]$
3.	$\left[ML^{-1}T^{-2}\right]$	4.	$\left[MLT^{2}\right]$

Subtopic: Dimensions |

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Q10:

The dimensional formula for impulse is:

1.	$[MLT^{-2}]$	2.	$[MLT^{-1}]$
3.	$[ML^2T^{-1}]$	4.	$[M^2LT^{-1}]$

Subtopic: Dimensions |

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PMT - 1991

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