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A boat can fo across a lake and retyrb ub tune ` T_0` at a speed ` v`. On a rough day there is a uniform currednt at speed ` v_1` to help the onward hourney and impede the return jourmey. If the time taken to go across and return on the same day be (T) then ` T//T_0` is`A. (1 -v_1^2 //v^2` `1/((1 -v_1^2//v^2))`(1 + v_1^2/v^2)`B. `1/((1 -v_1^2//v^2))`C. `(1 + v_1^2/v^2)`D. `1/ ((1 + v_1^2//v^2))` |
Answer» Correct Answer - B Let (d) be the width fo lake e to be crossed. Tehn ` T_0= (2d)/v` and ` T= d/(v=v_1) + d/(v-v_1)= (2 dv)/(v^2-v_1^2)= ( 2d)/(v(1- v_1^2 //v^2)` :. ` T/T_0 = 1/((1-v_1^2 //v^2))`. |
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