1 dyne is equal to …………………

• A. 980 g wt.
• B. 1/980 g wt.
• C. 980 kg wt.
• D. None of these.

To determine how many grams of weight correspond to 1 dyne, we first need to understand the relationship between dynes and grams. The dyne is a unit of force in the centimeter-gram-second (CGS) system, while the gram is a unit of mass. The conversion between these units is based on Newton's second law of motion, which states that force equals mass times acceleration (F = ma).

Understanding the Dyne

In the CGS system, 1 dyne is defined as the force required to accelerate a mass of 1 gram at a rate of 1 centimeter per second squared. This means:

• 1 dyne = 1 g × 1 cm/s²

Conversion to Grams Weight

Now, when we talk about weight, we are referring to the force exerted by gravity on a mass. The weight of an object in grams can be expressed in terms of grams weight (g wt). The acceleration due to gravity is approximately 980 cm/s². Therefore, the weight of 1 gram is:

• Weight of 1 g = 1 g × 980 cm/s² = 980 dynes

Calculating the Relationship

From the above, we can derive that:

• 1 g wt = 980 dynes

To find out how many grams weight correspond to 1 dyne, we can set up the following relationship:

• 1 dyne = 1 g wt / 980

This indicates that:

• 1 dyne = 1/980 g wt

Final Answer

Based on this calculation, the correct answer to the question "1 dyne is equal to …" is:

• B. 1/980 g wt.

So, when you see the options, the answer is clearly option B, which accurately reflects the relationship between dynes and grams weight in the CGS system.