Physics

# Consider the following two statements A and B and identify the correct answer.A) Two quantities which are to be added must have the same dimensions.B) Two quantities which are to be multiplied must have the same dimensions.

A is true but B is false

##### SOLUTION
Since different dimension cannot be added, hence it has to be same.
$2 mt + 3$ seconds cannot be added.
While 2 quantities to be multiplied may have different dimension.
$x = v\times t$
${L^{1}} = LT^{-1}\times T^{1} = {L}^{1}$
Hence, option A is correct.

You're just one step away

Single Correct Medium Published on 18th 08, 2020
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 199

#### Realted Questions

Q1 TRUE/FALSE Medium
State whether true or false :

When a body is at a depth 'd' from the earth surface its distance from the center of the earth is R-d (R= Radius of the earth).
• A. True
• B. False

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Single Correct Medium
The dimensions of angular momentum, latent heat and capacitance are, respectively.
• A. $ML^{2}T^{1}A^{2}, L^{2}T^{-2}M^{-1}L^{-2}T^{2}$
• B. $MLT^{2}, L^{2}T^{2}, M^{-1}L^{-2}T^{4}A^{2}$
• C. $ML^{2}T^{-1}, L^{2}T^{-2}, ML^{2}TA^{2}$
• D. $ML^{2}T^{-1}, L^{2}T^{-2}, M^{-1}L^{-2}T^{4}A^{2}$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Single Correct Medium
$[ML^2T^{-2}]$ are dimensions of
• A. force
• B. moment of force
• C. momentum
• D. power

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 Subjective Medium
Is energy a vector quantity ?

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Single Correct Medium
The dimensional formula of velocity gradient is
• A. $[M^0L^0T^{-1}]$
• B. $[MLT^{-1}]$
• C. $[ML^0T^{-1}]$
• D. $[M^0LT^{-2}]$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020