KE increased by 100%. Momentum increase percentage:
A. 100%
B. 200%
C. 41.4%
D. 50%
Answer: Option C
Solution (By JKSSB Mock Tests)
KE ∝ p². Double KE ⇒ p_new = √2 p_old ⇒ increase = (√2 - 1)×100% ≈ 41.4%. Memory tip: 'KE ∝ p²; %Δp ≈ ½ %ΔKE for small changes, but use exact for large'. Energy-momentum relation frequently tested in competitive exams.
Explanation:
Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure. Airplane wings (airfoils) are shaped so that air travels faster over the curved top surface than the flat bottom. This creates lower pressure above the wing and higher pressure below, resulting in an upward lift force.
Explanation:
The acceleration due to gravity at a depth 'd' is given by g' = g(1 - d/R), where R is the radius of the Earth. If we go to the center of the Earth, the depth 'd' becomes exactly equal to R. Substituting d = R into the formula gives g' = g(1 - R/R) = g(1 - 1) = 0. So, gravity is zero at the core.
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