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      Question

      Two bodies of masses m and 4m are separated by a

      distance d. Where will the gravitational field be zero along the line joining them?
      A At d/3 from mass m Correct Answer Incorrect Answer
      B At d/5 from mass m Correct Answer Incorrect Answer
      C At d/2 from mass m Correct Answer Incorrect Answer
      D At d/4 from mass m Correct Answer Incorrect Answer

      Solution

      We are given: ·        Two masses: m and 4m ·        Separated by a distance d ·        We are to find the point along the line joining them where gravitational field is zero Let’s assume the point where the gravitational field is zero lies at a distance x from mass m (and hence, distance d – x from mass 4m ). At that point, the magnitudes of gravitational fields due to both masses must be equal and opposite :

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