A particle moves such that its position coordinates (x, y) are given by x = 2t and y = t^2. The equation of its trajectory is: MCQ with Answer and Explanation
A particle moves such that its position coordinates (x, y) are given by x = 2t and y = t^2. The equation of its trajectory is:
A. y = x
B. y = x^2 / 4
C. y = x^2 / 2
D. y = 2x^2
Answer: Option B
Solution (By JKSSB Mock Tests)
The equation of trajectory represents the path of the particle in the x-y plane, eliminating the time variable 't'. Given x = 2t, we can write t = x/2. Substitute this into the y equation: y = t^2 = (x/2)^2 = x^2 / 4. This confirms the particle moves in a parabolic path.
Explanation:
Albert Einstein proposed special relativity (1905) and general relativity (1915), revolutionized concepts of space, time, gravity. E=mc². Newton classical mechanics. Galileo telescope, falling bodies. Watt steam engine.
Explanation:
Diffraction (bending of waves around obstacles) is significant when obstacle or aperture size is comparable to the wavelength of the wave. If size >> λ, diffraction is negligible (ray optics); if size
Explanation:
Work W = F·d = Fd cosθ. cos0° = 1 gives maximum work. At 90°, cos90° = 0, work zero. For given magnitudes, maximum when force parallel to displacement. This is basic definition.
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