1
AIPMT 2000
MCQ (Single Correct Answer)
+4
-1
The bob of simple pendulum having length $$l$$, is displaced from mean position to an angular position q with respect to vertical. If it is released, then velocity of bob at equilibrium position
A
$$\sqrt {2gl\left( {1 - \cos \theta } \right)} $$
B
$$\sqrt {2gl\left( {1 + \cos \theta } \right)} $$
C
$$\sqrt {2gl\cos \theta } $$
D
$$\sqrt {2gl} $$
2
AIPMT 2000
MCQ (Single Correct Answer)
+4
-1
Two masses $$M$$A and $$M$$B are hung from two strings of length $$l$$A and $$l$$B respectively. They are executing SHM with frequency relation $$f$$A = 2$$f$$B, then relation
A
$${l_A} = {{{l_B}} \over 4}$$ does not depend on mass
B
$${l_A} = 4{l_B}$$, does not depend on mass
C
$${l_A} = 2{l_B}$$ and $${M_A} = 2{M_B}$$
D
$${l_A} = {{{l_B}} \over 2}$$ and $${M_A} = {{{M_B}} \over 2}$$.
3
AIPMT 2000
MCQ (Single Correct Answer)
+4
-1
The equations of two waves acting in perpendicular directions are given as
x = $$a$$cos($$\omega $$t +$$\delta $$) and y = $$a$$cos($$\omega $$t + $$\alpha $$), where $$\delta $$ = $$\alpha $$ + $${\pi \over 2}$$, the resultant wave represents
A
a parabola
B
a circle
C
an ellipse
D
a straight line
4
AIPMT 2000
MCQ (Single Correct Answer)
+4
-1
A string is cut into three parts, having fundamental frequencies n1, n2, n3 respectively. Then original fundamental frequency n related by the expression as
A
$${1 \over n} = {1 \over {{n_1}}} + {1 \over {{n_2}}} + {1 \over {{n_3}}}$$
B
$$n = {n_1} \times {n_2} \times {n_3}$$
C
n $$=$$ n1 + n2 + n3
D
$$n = {{{n_1} + {n_2} + {n_3}} \over 3}$$
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