Oscillations Test

Result

Oscillations Test - 78

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Weekly Quiz Competition

Question 1
1 / -0

Wave has simple harmonic motion whose period is $$4$$ seconds while another wave which also possess simple harmonic motion has its period $$3$$ second. If both are combined, then the resultant wave will have the period equal to

A
$$4s$$

B
$$5s$$

C
$$12s$$

D
$$3s$$

Solution
Question 2
1 / -0

A simple pendulum (whose length is less than that of a second's pendulum) and a second's pendulum starts swinging in phase. They again swing in phase after an interval of 18 second from the start. The period of the simple pendulum is

A
0.9 sec

B
1.8 sec

C
2.7 sec

D
3.6 sec

Solution
Question 3
1 / -0

The total spring constant of the system as shown in the figure will be:

A
$$\dfrac{k_1}{2} + k_2$$

B
$${[\dfrac{1}{2k_1}+\dfrac{1}{k_2}]}^{-1}$$

C
$$\dfrac{1}{2k_1} + \dfrac{1}{k_2}$$

D
$${[\dfrac{2}{k_1}+\dfrac{1}{k_2}]}^{-1}$$
Question 4
1 / -0

Equation of SHM is $$x=10\sin{10\pi t}$$. Find the distance between the two points where speed is $$50\pi$$ $$cm/sec$$. $$x$$ is in cm and $$t$$ is in seconds

A
$$10cm$$

B
$$20cm$$

C
$$17.32cm$$

D
$$5(\sqrt{3}+1) cm$$

Solution
Question 5
1 / -0

The phase difference between displacement and acceleration in SHM is

A
$$ \dfrac{\pi}{4}$$

B
$$\dfrac {\pi}{2}$$

C
$$\pi$$

D
$$2\pi$$

Solution
Question 6
1 / -0

A body of mass 'm' when hung from a long and light spring, the spring stretches by 20 cm The period of vibration of the mass when pulled down the released is

A
$$\dfrac{2\pi}{7}$$

B
$$4$$

C
$$ \pi$$

D
$$\dfrac{\pi}{\sqrt 3}$$

Solution
Question 7
1 / -0

Two practice undergo SHM under parallel time in same time period and equal amplitude At particular instant one particle is at extreme position while other is at mean position they mean in same direction they will cross each other is at mean position they mean in in same direction they will cross each other after time

A
$$\dfrac{T}{2}$$

B
$$\dfrac{3T}{8}$$

C
$$\dfrac{T}{6}$$

D
$$\dfrac{3T}{4}$$

Solution
Question 8
1 / -0

A mass is considered so that can only move in one dimission along the Xaxis .The potential energy of the mass as s function of X-is shown on the diagram.There is a force in the negative X-direction at.

A
B

B
E

C
C

D
D

Solution
Question 9
1 / -0

When two simple harmonic motions of same periods, same amplitude, having phase difference of $$3\pi/2$$, and at right angles to each other are super imposed. The resultant wave form is a:

A
circle

B
parabola

C
ellipse

D
None of these

Solution
Question 10
1 / -0

Two bodies A and B of equal mass are suspended from two spearte massless springs of spring contnat $${ K }_{ 1 }$$ and respectively If the bodies oscillate vertically such that their maximum velocities are ewqual , the ratio of the amplitude of A to that of B is

A
$${ K }_{ 1 }/{ K }_{ 2 }\quad \quad \quad $$

B
$$\quad \sqrt { { K }_{ 1 }/{ K }_{ 2 } } $$

C
$$\\ { K }_{ 2 }/{ K }_{ 1 }\quad $$

D
$$\quad \quad \sqrt { { K }_{ 2 }/{ K }_{ 1 } } \quad \quad \quad $$

Solution