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 |
Please attempt this question first.
Please attempt this question first.
Please attempt this question first.
Launched MCQ Practice Books

Prefer Books for Question Practice? Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot

NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology

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 |
To view explanation, please take trial in the course below.
NEET 2025 - Target Batch
To view explanation, please take trial in the course below.
NEET 2025 - Target Batch
Please attempt this question first.
Launched MCQ Practice Books

Prefer Books for Question Practice? Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot

NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology

The dimensional formula of modulus of rigidity is:
1. \(\left [\mathrm{ML}^{-1} \mathrm{~T}^{-2} \right] \)
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 |
Please attempt this question first.
Please attempt this question first.
Please attempt this question first.
Launched MCQ Practice Books

Prefer Books for Question Practice? Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot

NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology

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 |
To view explanation, please take trial in the course below.
NEET 2025 - Target Batch
To view explanation, please take trial in the course below.
NEET 2025 - Target Batch
Please attempt this question first.
Launched MCQ Practice Books

Prefer Books for Question Practice? Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot

NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology

If the dimensions of a physical quantity are given by \([M^aL^bT^c],\) 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 |
To view explanation, please take trial in the course below.
NEET 2025 - Target Batch
To view explanation, please take trial in the course below.
NEET 2025 - Target Batch
Please attempt this question first.
Launched MCQ Practice Books

Prefer Books for Question Practice? Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot

NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology

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 |
To view explanation, please take trial in the course below.
NEET 2025 - Target Batch
To view explanation, please take trial in the course below.
NEET 2025 - Target Batch
Please attempt this question first.
Launched MCQ Practice Books

Prefer Books for Question Practice? Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot

NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology

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 |
Please attempt this question first.
Please attempt this question first.
Please attempt this question first.
Launched MCQ Practice Books

Prefer Books for Question Practice? Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot

NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology

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 |
Please attempt this question first.
Please attempt this question first.
Please attempt this question first.
Launched MCQ Practice Books

Prefer Books for Question Practice? Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot

NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology

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 |
To view explanation, please take trial in the course below.
NEET 2025 - Target Batch
To view explanation, please take trial in the course below.
NEET 2025 - Target Batch
Please attempt this question first.
Launched MCQ Practice Books

Prefer Books for Question Practice? Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot

NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology

The dimensional formula for impulse is:
1. \([MLT^{-2}]\)
2. \([MLT^{-1}]\)
3. \([ML^2T^{-1}]\)
4. \([M^2LT^{-1}]\)

Subtopic:  Dimensions |
To view explanation, please take trial in the course below.
NEET 2025 - Target Batch
To view explanation, please take trial in the course below.
NEET 2025 - Target Batch
Please attempt this question first.
Launched MCQ Practice Books

Prefer Books for Question Practice? Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot

NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology