1
AIEEE 2007
+4
-1
Two springs, of force constant $${k_1}$$ and $${k_2}$$ are connected to a mass $$m$$ as shown. The frequency of oscillation of the mass is $$f.$$ If both $${k_1}$$ and $${k_2}$$ are made four times their original values, the frequency of oscillation becomes
A
$$2f$$
B
$$f/2$$
C
$$f/4$$
D
$$4f$$
2
AIEEE 2007
+4
-1
A particle of mass $$m$$ executes simple harmonic motion with amplitude a and frequency $$v.$$ The average kinetic energy during its motion from the position of equilibrium to the end is
A
$$2{\pi ^2}\,m{a^2}{v^2}$$
B
$${\pi ^2}\,m{a^2}{v^2}$$
C
$${1 \over 4}\,m{a^2}{v^2}$$
D
$$4{\pi ^2}m{a^2}{v^2}$$
3
AIEEE 2007
+4
-1
A point mass oscillates along the $$x$$-axis according to the law $$x = {x_0}\,\cos \left( {\omega t - \pi /4} \right).$$ If the acceleration of the particle is written as $$a = A\,\cos \left( {\omega t + \delta } \right),$$ then
A
$$A = {x_0}{\omega ^2},\,\,\delta = 3\pi /4$$
B
$$A = {x_0},\,\,\delta = - \pi /4$$
C
$$A = {x_0}{\omega ^2},\,\,\delta = \pi /4$$
D
$$A = {x_0}{\omega ^2},\,\,\delta = - \pi /4$$
4
AIEEE 2007
+4
-1
The displacement of an object attached to a spring and executing simple harmonic motion is given by $$x = 2 \times {10^{ - 2}}$$ $$cos$$ $$\pi t$$ metre. The time at which the maximum speed first occurs is
A
$$0.25$$ $$s$$
B
$$0.5$$ $$s$$
C
$$0.75$$ $$s$$
D
$$0.125$$ $$s$$
EXAM MAP
Medical
NEET