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General ScienceMediumAsked in: NDA · NDA-I 2022, GAT

The electric field lines from an isolated positively charged conducting sphere are

  1. A.tangential to the conducting surface
  2. B.at right angles to the conducting surface and towards the centre of the sphere
  3. C.at any angle to the conducting surface
  4. D.at right angles to the conducting surface and outwards from the centre of the sphere

Correct answer

D. at right angles to the conducting surface and outwards from the centre of the sphere

Explanation

The correct answer is D, at right angles to the conducting surface and outwards from the centre of the sphere. Field lines always leave a conductor normal to its surface, and for a positive charge they point away from it.

In electrostatic equilibrium the charges on a conductor are at rest, so the field just outside cannot have any component along the surface; otherwise it would push charges and set up a current. The surface is therefore an equipotential, and field lines meet it at 90°. Electric field lines start on positive charges and end on negative ones, so from a positively charged sphere they run radially outward, as if from a point charge at the centre. Inside the conductor the field is zero.

A is wrong: a tangential field would move charges along the surface, which cannot happen in equilibrium.

B is wrong: inward lines would mean a negative charge on the sphere.

C is wrong: the angle is not free; it is always 90° at a conductor's surface.

Exam tip: field lines are normal to a conductor's surface, start on positive and end on negative charge, and the field inside a conductor is zero.

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Q1.General ScienceAsked in: NDA · NDA-I 2018, GATEasy

Which one of the following frequency ranges is sensitive to human ears ?

  1. A.0-200 Hz
  2. B.20-20,000 Hz
  3. C.200-20,000 Hz only
  4. D.2,000-20,000 Hz only
Show answer
Correct answer: B. 20-20,000 Hz

The normal human ear hears sound from about 20 hertz to 20,000 hertz, the audible range. Frequency, measured in hertz, is the number of vibrations per second, and it decides the pitch of a sound: the higher the frequency, the shriller the note.

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Q2.General ScienceAsked in: NDA · NDA-II 2018, GATEasy

The frequency of ultrasound waves is

  1. A.less than 20 Hz
  2. B.between 20 Hz and 2 kHz
  3. C.between 2 kHz and 20 kHz
  4. D.greater than 20 kHz
Show answer
Correct answer: D. greater than 20 kHz

Ultrasound is sound with a frequency above 20,000 Hz, the upper limit of human hearing. Humans hear sound between about 20 Hz and 20 kHz.

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

A sample of 'soft soap' contains

  1. A.Caesium
  2. B.Potassium
  3. C.Calcium
  4. D.Magnesium
Show answer
Correct answer: B. Potassium

Soft soaps are potassium salts of fatty acids, while ordinary hard bar soaps are sodium salts. Soap is made by saponification, heating an oil or fat with an alkali.

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Q5.General ScienceAsked in: NDA · NDA-I 2021, GATEasy

Which of the following sets of elements has the same valency?

  1. A.Na, Mg, Ca
  2. B.Na, Mg, Al
  3. C.Mg, Ca, K
  4. D.Mg, Ca, Ba
Show answer
Correct answer: D. Mg, Ca, Ba

Magnesium, calcium and barium are all alkaline earth metals of group 2, and each has a valency of 2. Elements in the same group of the periodic table have the same number of electrons in their outermost shell, and so the same valency.

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