A girl stands on a box having 60 cm length, 40 cm breadth and 20 cm width in three ways. In which of the following cases, pressure exerted by the block on the ground will be
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A girl stands on a box having 60 cm length, 40 cm breadth and 20 cm width in three ways. In which of the following cases, pressure exerted by the brick will be
(a) maximum when length and breadth form the base.
(b) maximum when breadth and width form the base.
(c) maximum when width and length form the base.
(d) the same in all the above three cases.
solution :- we know,
pressure is defined as the ratio of force to cross section area.
e.g., Pressure = force/Area
so, pressure will be maximum when area will be minimum.
here length = 60cm , breadth = 40cm and width = 20cm
area of the base formed by length and breadth = 60 × 40 = 2400 cm²
area of the base formed by breadth and width = 40 × 20 = 800 cm²
area of the base formed by width and length = 20 × 60 = 1200cm²
here , area of the base formed by breadth and width is minimum so, pressure will be maximum.
hence, option (b) is correct.