Centre of Mass & Rotational Motion · JEE Main previous year questions

2015 3 questions

1. Q332015 · 4 Apr 2015 · Shift 1

   Distance of the center of mass of a solid uniform cone from its vertex is $z_0$. If the radius of its base is $R$ and its height is $h$ then $z_0$ is equal to :

   1. A.$\frac{5h}{8}$
   2. B.$\frac{3h^2}{8R}$
   3. C.$\frac{h^2}{4R}$
   4. D.$\frac{3h}{4}$
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   Answer: D

2. Q342015 · 4 Apr 2015 · Shift 1

   From a solid sphere of mass $M$ and radius $R$ a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its center and perpendicular to one of its face is:

   1. A.$\frac{4M{R}^2}{9\sqrt{3}\pi }$
   2. B.$\frac{4M{R}^2}{3\sqrt{3}\pi }$
   3. C.$\frac{M{R}^2}{32\sqrt{2}\pi }$
   4. D.$\frac{M{R}^2}{16\sqrt{2}\pi }$
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   Answer: A

3. Q602015 · 4 Apr 2015 · Shift 1

   Match List - I (Fundamental Experiment) with List - II (its conclusion) and select the correct option from the choices given below the list: | List - I | List - II | | :--- | :--- | | A. Franck-Hertz | (i) Particle nature of light | | B. Photo-electric | (ii) Discrete energy levels of atom | | C. Davison-Germer experiment | (iii) Wave nature of electron | | | (iv) Structure of atom |

   1. A.$A-ii;B-i,C-iii$
   2. B.$A-iv;B-iii,C-ii$
   3. C.$A-i;B-iv,C-iii$
   4. D.$A-ii;B-iv,C-iii$
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   Answer: A