Q.

In 1 Joule, how many Ergs are there?

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a

109

b

10

c

107

d

104

answer is C.

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Detailed Solution

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In the centimeter-gram-second (CGS) system, the unit of energy is the erg, while in the International System of Units (SI), it's the joule.

The relationship between these units is:

1 joule = 10,000,000 ergs

This is because:

1 joule is defined as 1 newton-meter.

In CGS units:

1 newton = 105 dynes

1 meter = 100 centimeters

Therefore:

1 joule = 1 newton-meter

= (105 dynes) × (100 centimeters)

= 107 dyne-centimeters

Since 1 erg is defined as 1 dyne-centimeter, it follows that 1 joule = 107 ergs.

Thus, the correct option is 107.

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