Four students measure the height of a tower. Each student uses a different method and each measures the height many times. The data for each are plotted below. The measurement with the highest precision is:

(I) (II)
(III) (IV)


1. I
2. II
3. III
4. IV

Subtopic:  Errors |
 60%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

In the expressions below: \(g\) = gravitational acceleration; \(h\) = height; \(m\) = mass; \(R\) = electrical resistance; \(t\) = time; \(v\) = velocity; \(V\) = voltage. Which of the following expressions have units of power?
(a) \(\frac{mv^2}{2t}\)
(b) \(\frac{V^2}{R}\)
(c) \(\frac{mgh}{t}\)
 
1. (a) and (b) only
2. (a) only
3. (b) and c) only
4. (a), (b) and (c)
Subtopic:  Dimensions |
 74%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Match List-I with List-II.
 
List-I List-II
(a) Gravitational constant (\(G\)) (i) \( \left[\mathrm{L}^2 \mathrm{~T}^{-2}\right] \)
(b) Gravitational potential energy (ii) \(\left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right] \)
(c) Gravitational potential (iii) \(\left[\mathrm{LT}^{-2}\right] \)
(d) Gravitational intensity (iv) \(\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]\)

Choose the correct answer from the options given below:
(a) (b) (c) (d)
1. (iv) (ii) (i) (iii)
2. (ii) (i) (iv) (iii)
3. (ii) (iv) (i) (iii)
4. (ii) (iv) (iii) (i)
Subtopic:  Dimensions |
 68%
From NCERT
NEET - 2022
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Which of the following equations is dimensionally correct?
\((I)~~ v=\sqrt{\frac{P}{\rho}}~~~~~~(II)~~v=\sqrt{\frac{mgl}{I}}~~~~~~(III)~~v=\frac{Pr^2}{2\eta l}\)
(where  \(v=\) speed, \(P=\) pressure; \(r,\) \(l\) are lengths; \(\rho=\)  density, \(m=\) mass, \(g=\) acceleration due to gravity, \(I=\) moment of inertia, and \(\eta=\) coefficient of viscosity)

1. \(I~ and~II\)
2. \(I~ and~III\)
3. \(II~ and~III\)
4. \(I,~II~and~III\)
Subtopic:  Dimensions |
 69%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Match the units mentioned in List-I with the units in List-II.
 
   List-I  List-II
(a)  H/s (i)  s2
(b)  H×A (ii)  Wb
(c)  H×F (iii)  s
(d)  \(\Omega\)×F (iv)  \(\Omega\)
 
1. (a) – (ii), (b) – (iv), (c) – (i), (d) – (iii)
2. (a) – (iv), (b) – (ii), (c) – (i), (d) – (iii)
3. (a) – (iv), (b) – (ii), (c) – (iii), (d) – (i)
4. (a) – (ii), (b) – (iii), (c) – (iv), (d) – (i)
Subtopic:  Dimensions |
 63%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Match the following quantities in List-I with their dimensions in List-II.
 List-I  List-II
(a) acceleration (i) \([M^0L^0T^0 ]\)
(b) torque (ii) \([ML^{-1}T^{-2} ]\)
(c) absorptive power (iii) \([LT^{-2} ]\)
(d) pressure (iv) \([ML^2T^{-2} ]\)
 
1. a - (iii), b - (iv), c - (i), d - (ii)
2. a - (iii), b - (ii), c - (i), d - (iv)
3. a - (iii), b - (i), c - (ii), d - (iv)
4. a - (ii), b - (iv), c - (iii), d - (i)
Subtopic:  Dimensions |
 86%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Match the units of some physical quantities in List-I with their corresponding dimensions in List-II.
List-I List-II
(a) Ohm (i) \([ML^2T^{-2}A^{-1}]\)
(b) Farad (ii) \([ML^2T^{-2}A^{-2}]\)
(c) Henry (iii) \([M^{-1}L^{-2}T^4A^2]\)
(d) Weber (iv) \([ML^2T^{-3}A^{-2}]\)
 
1. a - (i), b - (ii), c - (iv), d - (iii)
2. a - (iv), b - (iii), c - (i), d - (ii)
3. a - (ii), b - (iii), c - (i), d - (iv)
4. a - (iv), b - (iii), c - (ii), d - (i)
Subtopic:  Dimensions |
 66%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Which two of the following five physical parameters have the same dimensions? 

(1) Energy density 
(2) Refractive index 
(3) Dielectric constant 
(4) Young's modulus 
(5) Magnetic field

Choose the correct option:

1. (2) and (4)
2. (3) and (5)
3. (1) and (4)
4. (1) and (5)
Subtopic:  Dimensions |
 71%
From NCERT
AIPMT - 2008
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Match List-I with List-II:

List-I List-II
(a) \(h\) (Planck's constant) (i) \(\left [ MLT^{-1} \right ]\)
(b) \(E\) (kinetic energy) (ii) \(\left [ ML^{2}T^{-1} \right ]\)
(c) \(V\) (electric potential) (iii) \(\left [ ML^{2}T^{-2} \right ]\)
(d) \(p\) (linear momentum) (iv) \(\left [ ML^{2}A^{-1}T^{-3} \right ]\)
 

Choose the correct answer from the options given below:

1. (a) → (iii), (b) → (iv), (c) → (ii), (d) → (i)
2. (a) → (ii), (b) → (iii), (c) → (iv), (d) → (i)
3. (a) → (i), (b) → (ii), (c) → (iv), (d) → (iii)
4. (a) → (iii), (b) → (ii), (c) → (iv), (d) → (i)
Subtopic:  Dimensions |
 90%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Which of the following quantities have the same dimension?
(A) \(\frac{\text{(Magnetic flux)}^2}{\text{Electrical resistance}}\)                     (B) \(\text{Torque}\times\text{time}\)
(C) \(\text{Momentum}\times\text{length}\)          (D) \(\frac{\text{Power}}{\text{time}}\)

1.  B, C
2.  A, B, C
3.  B, D
4.  A, B, C, D
Subtopic:  Dimensions |
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh