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In a lock-gate, the reaction between two gates is (where P = Resultant pressure on the lock gate and $$\alpha $$ = Inclination of the gate with the normal to the side of the lock)

In a lock-gate, the reaction between two gates is (where P = Resultant pressure on the lock gate and $$\alpha $$ = Inclination of the gate with the normal to the side of the lock) Correct Answer $$\frac{{\text{P}}}{{2\sin \alpha }}$$

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In a lock-gate, the reaction between two gates is (where P = Resultant pressure on the lock gate, and α = Inclination of the gate with the normal to the side of the lock)
In each question below is given a statement numbered I, II and III. An assumption is something supposed or taken for granted. You have to consider the following assumption and decide which of the assumption is implicit in the statement. Statement: The Amazon.com Inc. founder, Jeff Bezos’s net worth broke $150 billion in New York on Monday morning, according to the Bloomberg Billionaires Index. That’s about $55 billion more than Microsoft Corp. co-founder Bill Gates, the world’s second-richest person. Bezos, 54, has now topped Gates in inflation-adjusted terms. The $100 billion mark that Gates hit briefly in 1999 at the height of the dot-com boom would be worth about $149 billion in today’s dollars. Assumptions: I. Jeff Bezos is the richest person in modern history. II. That makes the Amazon founder richer than anyone else on earth since at least 2000 when Forbes published its inaugural wealth ranking. III. Gates would have had a net worth of more than $150 billion if he’d held onto assets that he’s given away, largely to the Bill & Melinda Gates Foundation.
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By increasing the rise of lock-gates, (i) The length of the lock gate will increase (ii) Transverse stress due to water pressure on the gate will increase (iii) Compressive force on the gate will increase
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(i) The length of the lock gate will increase
(ii) Transverse stress due to water pressure on the gate will increase
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Calculate the minimum number of AND gates, OR gates and NOT gates required to realize Exclusive-OR operation if only using AND, OR and NOT gates are allowed.
A system in a normalized state $$\left| \psi \right\rangle = {c_1}\left| {{\alpha _1}} \right\rangle + {c_2}\left| {{\alpha _2}} \right\rangle $$    with $$\left| {{\alpha _1}} \right\rangle $$ and $$\left| {{\alpha _2}} \right\rangle $$ representing two different eigen states of the system requires that the constants c1 and c2 must satisfy the condition
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