Given that: λ = a,cos ,left( {frac{t}{p} - qx} right) , where t represents time in second and

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1.Units, Dimensions and Measurement

medium

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?

AThe unit of $x$ is same as that of $q$

BThe unit of $x$ is same as that of $p$

CThe unit of $t$ is same as that of $q$

DThe unit of $t$ is same as that of $p$

Solution

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 $p$.

Standard 11

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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?

Solution

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