Physics

# If universal gravitational constant (G), speed of light (c), and time (t) are base units then the dimensional formula of mass can be represented as?

$[G^{-1}c^3t^1]$

##### SOLUTION
$G=N{ m }^{ 2 }{ kg }^{ -2 }\\ \quad \quad =(kg\quad m{ s }^{ -2 }){ m }^{ 2 }{ kg }^{ -2 }\\ \quad \quad \quad ={ kg }^{ -1 }{ m }^{ 3 }{ s }^{ -2 }$
Speed of light $C=\quad m{ s }^{ -1 }$
${ (m{ s }^{ -1 }) }^{ 3 }={ m }^{ 3 }{ s }^{ -3 }$= ${ C }^{ 3 }$
t= s
${ G }^{ -1 }\times { C }^{ 3 }\times t={ ({ kg }^{ -1 }{ m }^{ 3 }{ s }^{ -2 }) }^{ -1 }\times ({ m }^{ 3 }{ s }^{ -3 })\times s\\ \quad \quad \quad \quad =\quad kg$
= mass

You're just one step away

Single Correct Medium Published on 18th 08, 2020
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 198

#### Realted Questions

Q1 Subjective Medium
Convert the following quantity as indicated:
$4.2 \,m =.............. cm$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Subjective Medium
The current in a conductor and the potential difference across its ends are measured by an ammeter and a voltmeter. The meters draw negligible currents. The ammeter is accurate but the voltmeter has a zero error (that is, it does not read zero when no potential difference is applied). Calculate the zero error if the readings for two different conditions are $1.75\ A, 14.4\ V$ and $2.75\ A, 22.4\ V.$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Subjective Medium
$574g$ of a substance occupies $12cm^3$ Express its density by keeping the significant figure in view.

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 Assertion & Reason Medium
##### ASSERTION

Force cannot be added to pressure.

##### REASON

Because their dimensions are different.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Subjective Medium
Find the percentage error in kinetic energy of a body of mass $m=50.0 \pm 0.5g$ and moving with a velocity of $v= 10.0\pm 0.1 cm/s$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020