Physics

# Which of the following pairs does not have same dimensions?

moment of inertia and moment of force

##### SOLUTION
Moment of force  $(\tau)$ is equal to the product of moment of inertia $(I)$ and the angular acceleration $(\alpha)$ of the rotating body.
$\therefore$       $\tau = I \alpha$
Hence  the dimensions of moment of force and moment of inertia must be different.

You're just one step away

Single Correct Medium Published on 18th 08, 2020
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 218

#### Realted Questions

Q1 Subjective Hard
$\displaystyle \alpha =\frac{Fv^{2}}{\beta ^{2}}\log_{e}\left ( \frac{2\pi \beta }{v^{2}} \right )$ where F = force, v = velocity
Find the dimensions of $\displaystyle \alpha$ and $\displaystyle \beta$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Single Correct Hard
Out of the following the only pair that does not have identical dimensions is
• A. angular momentum and Planck's constant
• B. moment of inertia and moment of a force
• C. work and torque
• D. impulse and momentum

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Single Correct Medium
A student performs an experiment to determine the Young's modulus of a wire, exactly $2\ m$ along. by Searle's method. In a particular reading, the student measures the extension in the length of the wire to be $0.8\ mm$ with an uncertainty of $0.05\ mm$ at a load of exactly $1.0\ kg$. The student also measures the diameter of the wire to be $0.4\ mm$ with an uncertainty of $0.01\ mm$. Take $g = 9.8\ ms^{-2}$ (exact). The Young's modulus obtained from the reading is
• A. $(2.0\pm 0.3) \times 10^{11} N\ m^{-2}$
• B. $(2.0\pm 0.2) \times 10^{11} N\ m^{-2}$
• C. $(2.0\pm 0.1) \times 10^{11} N\ m^{-2}$
• D. $(2.0\pm 0.05) \times 10^{11} N\ m^{-2}$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 Single Correct Medium
Select the correct alternative
(b) A metallic piece displaces water of volume 15 ml. The volume of piece is :
• A. 15 $cm^{3}$
• B. 15 $m^{3}$
• C. $15 \times 10^{3} cm^{3}$
• D. $15 \times 10^{3} cm^{3}$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Single Correct Medium
In the screw gauge, the screw should be moved in the same direction to avoid which of the following error?
• A. Zero error
• B. Parallel error
• C. Backlash error
• D. Index error

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020