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General ScienceMediumAsked in: CDS · CDS-II 2018, GK

The equivalent weight of Ba(OH)2 is (given, atomic weight of Ba is 137.3)

  1. A.85.7
  2. B.137.3
  3. C.154.3
  4. D.171.3

Correct answer

A. 85.7

Explanation

The correct answer is A, 85.7. The equivalent weight of a base is its molecular weight divided by its acidity, which is the number of replaceable hydroxide ions in one molecule. Barium hydroxide, Ba(OH)2, has two OH groups, so its acidity is 2. Its molecular weight is 137.3 for barium plus 2 × 17 for the two hydroxide groups (16 for oxygen and 1 for hydrogen), which gives 171.3. Dividing 171.3 by 2 gives 85.65, which rounds to 85.7. Option B is wrong because 137.3 is only the atomic weight of barium. Option C is wrong because 154.3 counts just one hydroxide group, 137.3 + 17. Option D is wrong because 171.3 is the full molecular weight, not divided by the acidity. The same rule gives 40 for NaOH, which has one OH group, and 37 for Ca(OH)2, whose molecular weight is 74 and which has two OH groups. Exam tip: the equivalent weight of a base is its molecular weight divided by its number of OH ions.

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Q3.General ScienceAsked in: NDA · NDA-I 2019, GATMedium

Consider the following statements about a solenoid: 1. The magnetic field strength in a solenoid depends upon the number of turns per unit length in the solenoid 2. The magnetic field strength in a solenoid depends upon the current flowing in the wire of the solenoid 3. The magnetic field strength in a solenoid depends upon the diameter of the solenoid Which of the statements given above are correct?

  1. A.1, 2 and 3
  2. B.1 and 3 only
  3. C.2 and 3 only
  4. D.1 and 2 only
Show answer
Correct answer: D. 1 and 2 only

The magnetic field inside a long solenoid is B = μ₀nI, where n is the number of turns per unit length and I is the current, so the field depends on these two and not on the diameter.

Q4.General ScienceAsked in: NDA · NDA-II 2019, GATMedium

Which of the following are the characteristics of electromagnetic waves? 1. They are elastic waves. 2. They can also move in vacuum. 3. They have electric and magnetic components which are mutually perpendicular. 4. They move with a speed equal to 3 lakh meters per second. Select the correct answer using the code given below:

  1. A.1, 2, 3 and 4
  2. B.1, 2 and 4 only
  3. C.2 and 3 only
  4. D.3 and 4 only
Show answer
Correct answer: C. 2 and 3 only

Electromagnetic waves need no medium, so they travel through vacuum, and they consist of electric and magnetic fields that oscillate at right angles to each other and to the direction of travel.