Two quantities A and B are related by the relation (A)/(B)= m , where m is linear mass density and A is force. The dimensions of B will be

Correct answer: A. Same as that of latent heat [B] = ([A])/([m]) [B] = [(force)/(mass / length)] [B] = [(force × length)/(mass)] = [(energy)/(mass)] =[ latentheat ]

NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Physics
Chapter: Units and Dimensions

NTA Abhyas 2020 · Physics · Units and Dimensions

Two quantities A and B are related by the relation (A)/(B)= m ,...

Two quantities $A$ and $B$ are related by the relation $\dfrac{A}{B}= m$ , where $m$ is linear mass density and $A$ is force. The dimensions of $B$ will be

Options

ASame as that of latent heat
BSame a that of pressure
CSame as that of work
DSame as that of momentum

Correct answer

A. Same as that of latent heat

Step-by-step solution

\left[B\right] = \dfrac{\left[A\right]}{\left[m\right]}

\left[B\right] = \left[\dfrac{force}{mass / length}\right]

<br /><br />\left[\text{B}\right] = \left[\dfrac{force \times length}{mass}\right] = \left[\dfrac{energy}{mass}\right] =[ latentheat ]

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