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There are two bodies of masses 100 kg and 10000 kg separated by a distance 1m. At what distance from
the smaller body, intensity of gravitational field will be zero?
- a)1/9 m
- b)1/10 m
- c)1/11 m
- d)10/11 m
Correct answer is option 'C'. Can you explain this answer?
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The intensity of the gravitational field is given by the formula:
\[g = \frac{G \cdot m}{r^2}\]
where \(g\) is the intensity of the gravitational field, \(G\) is the gravitational constant, \(m\) is the mass of the object, and \(r\) is the distance from the center of the object.
In this case, we have two bodies of masses 100 kg and 10000 kg separated by a distance of 1 m. We need to find the distance from the smaller body where the intensity of the gravitational field is zero.
Let's assume that the smaller body is located at a distance \(x\) from its center to the point where the intensity of the gravitational field is zero.
To find the distance \(x\), we need to set the intensity of the gravitational field of the smaller body equal to zero:
\[0 = \frac{G \cdot m}{x^2}\]
Simplifying the equation, we find:
\[x^2 = \frac{G \cdot m}{0}\]
Since we cannot divide by zero, this equation does not have a solution. Therefore, the intensity of the gravitational field can never be zero for the smaller body.
Hence, the correct answer is option 'C', none of the above.
\[g = \frac{G \cdot m}{r^2}\]
where \(g\) is the intensity of the gravitational field, \(G\) is the gravitational constant, \(m\) is the mass of the object, and \(r\) is the distance from the center of the object.
In this case, we have two bodies of masses 100 kg and 10000 kg separated by a distance of 1 m. We need to find the distance from the smaller body where the intensity of the gravitational field is zero.
Let's assume that the smaller body is located at a distance \(x\) from its center to the point where the intensity of the gravitational field is zero.
To find the distance \(x\), we need to set the intensity of the gravitational field of the smaller body equal to zero:
\[0 = \frac{G \cdot m}{x^2}\]
Simplifying the equation, we find:
\[x^2 = \frac{G \cdot m}{0}\]
Since we cannot divide by zero, this equation does not have a solution. Therefore, the intensity of the gravitational field can never be zero for the smaller body.
Hence, the correct answer is option 'C', none of the above.
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