1
AIPMT 2015 Cancelled Paper
MCQ (Single Correct Answer)
+4
-1
Change Language
A mass m moves in a circle on a smooth horizontal plane with velocity v0 at a radius R0. The mass is attached to a string which passes through a smooth hole in the plane as shown. the tension in the string is increased gradually and finally m moves in a circle of radius $${{{R_0}} \over 2}$$.

The final value of the kinetic energy is
AIPMT 2015 Cancelled Paper Physics - Rotational Motion Question 71 English
A
2mv$$_0^2$$
B
$${1 \over 2}$$mv$$_0^2$$
C
mv$$_0^2$$
D
$${1 \over 4}$$mv$$_0^2$$
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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