Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - NEET MCQ

# Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - NEET MCQ

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## 10 Questions MCQ Test Physics Class 11 - Multiple Choice Questions (MCQs): Dimensions of Physical Quantities

Multiple Choice Questions (MCQs): Dimensions of Physical Quantities for NEET 2024 is part of Physics Class 11 preparation. The Multiple Choice Questions (MCQs): Dimensions of Physical Quantities questions and answers have been prepared according to the NEET exam syllabus.The Multiple Choice Questions (MCQs): Dimensions of Physical Quantities MCQs are made for NEET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Multiple Choice Questions (MCQs): Dimensions of Physical Quantities below.
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Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 1

### Identify the pair whose dimensions are equal. [AIEEE 2002]

Detailed Solution for Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 1

The dimensions of torque and work are [ML2T-2]

Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 2

### The physical quantities not having same dimensions are [AIEEE 2003]

Detailed Solution for Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 2

Planck's constant (in term of unit)
(h) = j-s
= [ML2T-2][T]
= [ML2T-1]
Momentum (p) = kg-ms-1
=[M][L][T-1] = [MLT-1]

Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 3

### Which of the following is a dimensional constant?

Detailed Solution for Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 3

A dimensional constant is a physical quantity that has a fixed numerical value and is independent of the unit system used. It represents a fundamental property of nature and remains constant regardless of the measurement units employed.

Among the options given, the gravitational constant, denoted by "G," is a dimensional constant. It is a fundamental constant in physics that appears in Newton's law of universal gravitation and describes the strength of the gravitational force between two objects.

The other options, "e" (Euler's number), area, and specific gravity, are not dimensional constants as they are dependent on the chosen unit system or can vary based on the properties of the objects or substances being measured.

Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 4

Dimensions of  where symbols have their usual meaning, are

[AIEEE 2003]

Detailed Solution for Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 4

As we know that formula of velocity is

Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 5

Which one of the following represents the correct dimensions of the coefficient of viscosity?

[AIEEE 2004]

Detailed Solution for Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 5

By Newton's formula

Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 6

The average life of an Indian is 56 years. Find the number of times the human heart beats in the life of an Indian, if the heat beats once in 0.8 s.

Detailed Solution for Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 6

Average life of an Indian = 56 years = 56×3 65.25 × 24 × 60 × 60 s
Period of heart beat = 0.8 s
Total number of heartbeats in 56 years = (56 × 365.25 × 24 × 60 × 60)/0.8 = 2.2 × 109 times.

Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 7

Out of the following pairs, which one does not have identical dimensions ?

[AIEEE 2005]

Detailed Solution for Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 7

I = mr2
∴[I] = [ML2]
and = moment of force =
= [L][MLT-2]=[ML2T-2]

Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 8

Which of the following units denotes the dimensions [ML2/Q2], where Q denotes the electric charges ?

[AIEEE 2006]

Detailed Solution for Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 8

Magnetic energy
[L→ inductance, i → current]
Energy has the dimension = [ML2T-2]
Equate the dimension, we have

Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 9

A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms-1. The magnitude of its momentum is recorded as

[AIEEE 2008]

Detailed Solution for Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 9

m = 3.513 kg and v = 5.00 ms-1
So momentum, p = mv = 17.565 As the number of significant digits in m is 4 and in v is 3, so p must have 3 (minimum) significant digits.
Hence, p = 17.6 kg ms-1

Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 10

The dimensions of magnetic field in M, L, T and C (coulomb) is given as

[AIEEE 2008]

Detailed Solution for Multiple Choice Questions (MCQs): Dimensions of Physical Quantities - Question 10

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