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BITSAT 2023Paper 1
Exam
BITSAT
Year
2023
Paper
Paper 1
Subject
Physics
Chapter
Units and Dimensions

BITSAT 2023 · Paper 1 · Physics · Units and Dimensions

Electric field in a certain region is given by E = ((A)/(x^2) i...

Electric field in a certain region is given by E⃗=(Ax2i^+By3j^).TheSIunitof\vec{E}= \left(\frac{A}{x^2} \hat{i}+\frac{B}{y^3} \hat{j}\right). The SI unit of AandandBare:are:

Options

  1. ANm3C−1;Nm2C−1\mathrm{Nm}^3 \mathrm{C}^{-1} ; \mathrm{Nm}^2 \mathrm{C}^{-1}
  2. BNm2C−1;Nm3C−1\mathrm{Nm}^2 \mathrm{C}^{-1} ; \mathrm{Nm}^3 \mathrm{C}^{-1}
  3. CNm3C;Nm2C\mathrm{Nm}^3 \mathrm{C} ; \mathrm{Nm}^2 \mathrm{C}
  4. DNm2C;Nm3C\mathrm{Nm}^2 \mathrm{C} ; \mathrm{Nm}^3 \mathrm{C}

Correct answer

B. Nm2C−1;Nm3C−1\mathrm{Nm}^2 \mathrm{C}^{-1} ; \mathrm{Nm}^3 \mathrm{C}^{-1}

Step-by-step solution

Electric field in a certain region is given by,
E⃗=Ax2i^+By3j^\vec{E}=\frac{A}{x^2} \hat{i}+\frac{B}{y^3} \hat{j}
\left[\frac{\mathrm{A}}{\mathrm{x}^2}\right]=\mathrm{NC}^{-1} \Rightarrow[\mathrm{A}]=\mathrm{Nm}^2 \mathrm{C}^{-1}<br/>[By3]=NC−1⇒[B]=Nm3C−1<br />\left[\frac{\mathrm{B}}{\mathrm{y}^3}\right]=\mathrm{NC}^{-1} \Rightarrow[\mathrm{B}]=\mathrm{Nm}^3 \mathrm{C}^{-1}
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