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Syllabus

(A) ?(?gL)

(B) ?(2?gL)

(C) ?(3?gL)

(D) 2?(?gL)

Ans. (B) ?(2?gL)

is proportional to the speed of the boat. It is

found that it takes 24 h.p. to row a certain

boat at a speed of 8km/hr, the horse power

required when speed is doubled -

(A) 12 h.p.

(C) 48 h.p.

(B) 6 h.p.

(D) 96h.p.

3. A particle of mass m slides on a frictionless surface ABCD, starting from rest as shown in Fig. The part BCD is a circular arc. If it looses contact at point P, the maximum height attained by the particle from point C is

$\left(A\right)R\left[2+\frac{1}{2\sqrt{2}}\right]\left(B\right)\left[1+\frac{1}{2\sqrt{2}}\right]R\left(C\right)3R\left(D\right)Noneofthese$

^{–2})(a) 3 ms

^{–1}(b) 1.5 ms^{–1}(c) 6 ms^{–1}(d) 4.5 ms^{–1}1. A bead of mass m is attached to one end of a spring of natural length R and spring constant $K=\frac{\left(\sqrt{3}+1\right)mg}{R}$ . The other end of the spring is fixed at a point A on a smooth vertical ring of radius R as shown in the figure. The normal reaction at B just after it is released to move is

$\left(A\right)mg/2\left(B\right)\sqrt{3}mg\left(C\right)3\sqrt{3}mg\left(D\right)\frac{3\sqrt{3}mg}{2}$