QJEEM21Phb77d: JEE Main 2021 Physics - Class 11 JEEM21Phb77d Solution: Two persons A and B perform same amount of work in moving a…

Question

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Two persons A and B perform same amount of work in moving a body through a certain distance d with application of forces acting at angle 45

^{\circ}

and 60

^{\circ}

with the direction of displacement respectively. The ratio of force applied by person A to the force applied by person B is

\frac{1}{\sqrt{x}}

. The value of x is .................... .

Accepted Answer

Given W_A = W_B

F_Ad cos45

^{\circ}

= F_Bd cos60

^{\circ}

F_{A} \times \frac{1}{\sqrt{2}} = F_{B} \times \frac{1}{2}

\frac{F_{A}}{F_{B}} = \frac{\sqrt{2}}{2} = \frac{1}{\sqrt{2}}

x = 2

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