The kinetic energy of a body is increased by 300%. The percentage increase in its momentum is:
A. 200%
B. 400%
C. 300%
D. 100%
Answer: Option D
Solution (By JKSSB Mock Tests)
KE ∝ p² (since KE = p²/(2m)). If KE increases by 300%, new KE = 4× original KE. Thus p_new² / p_original² = 4 ⇒ p_new / p_original = 2 ⇒ momentum doubles, i.e., 100% increase. Memory tip: 'KE ∝ p²; so %Δp = ½ %ΔKE for small changes, but for large changes use ratio'. This proportional reasoning problem tests energy-momentum relationship, frequently appearing in competitive exams. Always derive from fundamental relations when percentages are large; linear approximations fail here.
Explanation:
The formula for capacitors in series is exactly the opposite of resistors. 1/C_eq = 1/C1 + 1/C2 + 1/C3. Here, all are 3 uF. So, 1/C_eq = 1/3 + 1/3 + 1/3 = 3/3 = 1. Therefore, C_eq = 1 microfarad. When identical capacitors are in series, you simply divide the capacitance by the number of capacitors (3/3 = 1).
Explanation:
Water has a specific heat capacity of 4184 J/kg·K, which is very high. This means it heats up and cools down much more slowly than land. During the day, land heats faster than the sea, causing air above it to rise and cool air from the sea to rush in (sea breeze). The reverse happens at night (land breeze).
Explanation:
The Sun and other stars generate their immense energy through nuclear fusion. In the Sun's core, immense gravitational pressure and heat cause hydrogen nuclei (protons) to overcome electrostatic repulsion and fuse together to form helium nuclei. This fusion process releases vast amounts of energy according to Einstein's E=mc².
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