Q45 / 208 · NTA Abhyas (NEET) 2020 · Physics · Gravitation

Weight of a body of mass m decreases by 1% when it is raised to a height h above the earth's surface. If the body is taken on depth h in a mine, change in its weight is

  • Correct answer
    A
    0.5%, decrease
  • B
    2%, increase
  • C
    0.5%, increase
  • D
    2%, decrease

Solution

At an altitude h the acceleration due to gravity is

                    g′=g1-2hRe

or            mg′=mg1-2hRe

ie,             w′=w1-2hRe

          99100w=w1-2hRe

ie,              h=0.005Re

At a point below the surface of the earth at depth h. The weight of the body given by

               w′=w1-hRe

              w′w=0.995

        %∆w=1-0.995ww×100

%∆w=0.5%, decrease 

Hence, the correct answer is option: 'A'.

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