jee-advanced 2007 Q4

jee-advanced · India · paper2 Not Maths
4. A small object of uniform density rolls up a curved surface with an initial velocity $v$. It reaches up to a maximum height of $\frac { 3 v ^ { 2 } } { 4 g }$ with respect to the initial position. The object is [Figure]
(A) ring
(B) solid sphere
(C) hollow sphere
(D) disc
Answer [Figure]
(A) [Figure]
(B) [Figure]
(C) [Figure]
(D)
In an experiment to determine the focal length (f) of a concave mirror by the u-v method, a student places the object pin A on the principal axis at a distance x from the pole P . The student looks at the pin and its inverted image from a distance keeping his/her eye in line with PA. When the student shifts his/her eye towards left, the image appears to the right of the object pin. Then,
4. A small object of uniform density rolls up a curved surface with an initial velocity $v$. It reaches up to a maximum height of $\frac { 3 v ^ { 2 } } { 4 g }$ with respect to the initial position. The object is\\
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(A) ring\\
(B) solid sphere\\
(C) hollow sphere\\
(D) disc

Answer\\
\includegraphics[max width=\textwidth, alt={}, center]{e79946a0-735d-438d-ac42-5265ab72284d-02_98_97_760_335}\\
(A)\\
\includegraphics[max width=\textwidth, alt={}, center]{e79946a0-735d-438d-ac42-5265ab72284d-02_102_93_760_494}\\
(B)\\
\includegraphics[max width=\textwidth, alt={}, center]{e79946a0-735d-438d-ac42-5265ab72284d-02_102_98_760_644}\\
(C)\\
\includegraphics[max width=\textwidth, alt={}, center]{e79946a0-735d-438d-ac42-5265ab72284d-02_98_98_760_794}\\
(D)\\