A suitable unit for gravitational constant is
Correct Answer :
Newton meter² kg⁻²
Solution :
The correct answer is Newton meter² kg⁻².
To find the suitable unit for the universal gravitational constant (), we can use Newton's law of universal gravitation. According to this law, the gravitational force () between two masses ( and ) separated by a distance () is given by the formula:
To find the unit of the gravitational constant , we can rearrange the formula to solve for :
Now, let's substitute the standard SI units for each of the variables in this equation:
1. Force () is measured in Newtons ().
2. Distance () is measured in meters (), so has the unit meter² ().
3. Masses ( and ) are measured in kilograms (), so their product has the unit kg × kg = kg².
Substituting these units into our rearranged equation for gives:
Unit of
Expressing this division using negative exponents, we get:
Unit of
Therefore, a suitable unit for the gravitational constant is Newton meter² kg⁻².
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