Q.

1 newton is equal to________dyne.

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a

103

b

105

c

103

d

105

answer is C.

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Detailed Solution

1 Newton (N) is equal to 105 dyne.

The Newton (N) is the SI (International System of Units) unit of force, and the dyne is the CGS (Centimetre-Gram-Second) unit of force. To understand the conversion, we need to understand the relationship between these two units:

  • 1 Newton is defined as the force required to accelerate a 1 kilogram mass by 1 meter per second squared (1 N = 1 kg·m/s2).
  • 1 dyne is defined as the force required to accelerate a 1 gram mass by 1 centimeter per second squared (1 dyne = 1 g·cm/s2).

From the fundamental definitions, it is established that:

  • 1 Newton = 105 dynes. This is because:
  • 1 N = 1 kg·m/s2 and 1 dyne = 1 g·cm/s2.
  • Since 1 kilogram (kg) = 1000 grams (g) and 1 meter (m) = 100 centimeters (cm), this gives us the conversion factor.

Conceptual Understanding:

The conversion factor between Newtons and dynes involves the difference in the units of mass and distance used in the SI and CGS systems. This detailed explanation helps in understanding how forces are measured differently in the two systems and the necessary conversion between them.

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