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STD 11 - 1. units,dimensions and measurement — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 11 - 1. units,dimensions and measurement4 Marks
MCQ
Given that: $\lambda  = a\,\cos \,\left( {\frac{t}{p} - qx} \right)$ , where $t$ represents time in second and $x$ represents distance in metre. Which of the following statements is true?
  • A
    The unit of $x$ is same as that of $q$
  • B
    The unit of $x$ is same as that of $p$
  • C
    The unit of $t$ is same as that of $q$
  • ✓
    The unit of $t$ is same as that of $p$
✓

Answer

Correct option: D.
The unit of $t$ is same as that of $p$
d
In $\cos \left(\frac{t}{p}-q x\right),$ the expression $\left(\frac{t}{p}-q x\right)$ is dimensionless. Hence, $t / p$ is also dimensionless. This is possible when units of $t$ are same as that of $p$.

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