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NEET UG PHYSICS MCQ: OSCILLATIONS

1 Hard

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Application +4 | -1

A uniform spring whose unstretched length is

l

has a force constant

k

. The spring is cut into two pieces of unstretched lengths

l_1

and

l_2

, where

l_1=n l_2

and

n

is being an integer. Now, a mass

m

is made to oscillate with first spring. The time period of its oscillation would be

View answer and explanation

Correct option: A

T=2 \pi \sqrt{\frac{m n}{k(n+1)}}

Option A,

T=2 \pi \sqrt{\frac{{m n}}{{k(n+1)}}}

is correct because the effective spring constant for the first spring is

k(n+1)/n

, leading to the given time period.

More Questions from OSCILLATIONS

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A mass m is suspended from a spring of length l and force constant K. The frequency of vibration of the mass is

{f_1}

. The spring is cut into two equal parts and the same mass is suspended from one of the parts. The new frequency of vibration of mass is

{f_2}

. Which of the following relations between the frequencies is correct The time period of a loaded spring on earth is 6s. On the surface of moon, the time period of the same loaded spring will be. Under the action of a force

F=-k x^3

, the motion of a particle is

(k=

a positive constant

)

S-I: A particle executes SHM with frequency

f

. The frequency with which total mechanical energy of particle oscillates is

2 f

.
S-II: Both kinetic as well as potential energy of particle in SHM oscillate with a frequency

2 f.

The phase difference (in radian) between two SHM whose equations are

y_1=10 \sin \left(10 \pi t+\frac{\pi}{3}\right)

y_2=12 \sin \left(8 \pi t+\frac{\pi}{4}\right)

t=0.5 \mathrm{~s}

is: A vertical spring block system is made to oscillate.
Statement-1: Its time period on earth is more than that on the moon.
Statement-2: Its extension on earth (in equilibrium) is more than that on the moon.