1
AIPMT 2015 Cancelled Paper
MCQ (Single Correct Answer)
+4
-1
Change Language
Three identical spherical shells, each of mass m and radius r are placed as shown in figure. Consider an axis XX' which is touching to two shells and passing through diameter of third shell. Moment of inertia of the system consisting of these three spherical shells about XX' axis is

AIPMT 2015 Cancelled Paper Physics - Rotational Motion Question 70 English
A
$${{16} \over 5}m{r^2}$$
B
4mr2
C
$${{11} \over 5}m{r^2}$$
D
3mr2
2
AIPMT 2015 Cancelled Paper
MCQ (Single Correct Answer)
+4
-1
Change Language
A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to $$v\left( x \right) = \beta {x^{ - 2n}}$$, where $$\beta $$ and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by
A
$$ - 2{\beta ^2}{x^{ - 2n + 1}}$$
B
$$ - 2n{\beta ^2}{e^{ - 4n + 1}}$$
C
$$ - 2n{\beta ^2}{x^{ - 2n - 1}}$$
D
$$ - 2n{\beta ^2}{x^{ - 4n - 1}}$$
3
AIPMT 2015 Cancelled Paper
MCQ (Single Correct Answer)
+4
-1
Change Language
A ship A is moving Westwards with a speed of 10 km h$$-$$1 and a ship B 100 km South of A, is moving Northwards with a speed of 10 km h$$-$$1. The time after which the distance between them becomes shortest, is
A
$$5\sqrt 2 $$ h
B
$$10\sqrt 2 $$ h
C
0 h
D
5 h
4
AIPMT 2015 Cancelled Paper
MCQ (Single Correct Answer)
+4
-1
Change Language
A block A of mass m1 rests on a horizontal table. A light string connected to it passes over a frictionless pully at the edge of table and from its other end another block B of mass m2 is suspended. The coefficient of kinetic friction between the block and the table is $$\mu $$k. When the block A is sliding on the table, the tension in the string is
A
$${{{m_1}{m_2}(1 + {\mu _k})g} \over {({m_1} + {m_2})}}$$
B
$${{{m_1}{m_2}(1 - {\mu _k})g} \over {({m_1} + {m_2})}}$$
C
$${{\left( {{m_2} + {\mu _k}{m_1}} \right)g} \over {\left( {{m_1} + {m_2}} \right)}}$$
D
$${{\left( {{m_2} - {\mu _k}{m_1}} \right)g} \over {\left( {{m_1} + {m_2}} \right)}}$$
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