Kinematics · JEE Main previous year questions

2017 2 questions

1. Q362017 · 9 Apr 2017 · Shift 1

   A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by $y(x,\mathrm{t})=0.5\sin \left(\frac{5\pi }{4}x\right)\cos (200\pi \mathrm{t})\cdot$ What is the speed of the travelling wave moving in the positive x direction ? (x and t are in meter and second, respectively.)

   1. A.$160m/s$
   2. B.$90m/s$
   3. C.$180m/s$
   4. D.$120m/s$
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   Answer: A

2. Q472017 · 9 Apr 2017 · Shift 1
   
   1. A.$\tan \theta =\frac{\sqrt{3}+\sqrt{2}}{1-\sqrt{2}}$
   2. B.$\tan \theta =\frac{\sqrt{3}-\sqrt{2}}{1-\sqrt{2}}$
   3. C.$\tan \theta =\frac{1-\sqrt{2}}{\sqrt{2}(1+\sqrt{3})}$
   4. D.$\tan \theta =\frac{1-\sqrt{3}}{1+\sqrt{2}}$
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   Answer: A