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UP Board Class 10 — free MCQ practice

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Worked practice questions

The notes calculate $\lambda_m^c$ using $\lambda_m^c = \dfrac{0.04 \times 1000}{0.1}$. What value is obtained?

  1. 40
  2. 400
  3. 4000
  4. 4
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Correct answer: B. 400

Compute $\lambda_m^c = \dfrac{0.04 \times 1000}{0.1} = \dfrac{40}{0.1} = 400$.

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From the expression shown, $\lambda_m^{\infty}(HA) = 400 + 500 - 50$, the limiting molar conductivity of $HA$ is

  1. 850
  2. 950
  3. 400
  4. 50
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Correct answer: A. 850

Direct evaluation gives $400 + 500 - 50 = 850$. **Therefore, $\lambda_m^{\infty}(HA) = 850$.**

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Which of the following fractions will have a non-terminating recurring decimal expansion?

  1. $\frac{3}{40}$
  2. $\frac{7}{125}$
  3. $\frac{11}{24}$
  4. $\frac{9}{20}$
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Correct answer: C. $\frac{11}{24}$

A rational number has a recurring decimal if, in lowest terms, the denominator contains a prime factor other than 2 or 5. Since $24=2^3\times 3$ contains 3, $\frac{11}{24}$ is non-terminating recurring. The others have denominators made only of 2s and 5s.

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