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Q1
The displacement of a particle executing SHM is given by \(x = A\sin(\omega t)\). The maximum velocity of the particle is
(Exam: IIT-JEE Year: 1998)
(A) \(A\omega\)
(B) \(A/\omega\)
(C) \(\omega/A\)
(D) \(A^2\omega\)
Q2
The time period of a simple pendulum depends on
(Exam: NEET Year: 2005)
(A) mass of the bob
(B) amplitude of oscillation
(C) length of the pendulum
(D) material of the string
Q3
In SHM, acceleration is proportional to
(Exam: CBSE Year: 2008)
(A) velocity
(B) displacement
(C) square of displacement
(D) time
Q4
The total energy of a particle executing SHM is
(Exam: AIIMS Year: 2010)
(A) maximum at mean position
(B) minimum at extreme position
(C) constant throughout motion
(D) zero at mean position
Q5
The phase difference between displacement and velocity in SHM is
(Exam: JEE Main Year: 2013)
(A) \(0\)
(B) \(\pi/2\)
(C) \(\pi\)
(D) \(3\pi/2\)
Q6
For a mass-spring system, the angular frequency is
(Exam: BITSAT Year: 2014)
(A) \(\sqrt{mk}\)
(B) \(\sqrt{k/m}\)
(C) \(k/m\)
(D) \(m/k\)
Q7
At the extreme position of SHM, the kinetic energy is
(Exam: NEET Year: 2016)
(A) maximum
(B) minimum
(C) zero
(D) equal to potential energy
Q8
The restoring force in SHM always acts
(Exam: IIT-JEE Year: 2002)
(A) along velocity
(B) opposite to displacement
(C) perpendicular to motion
(D) along displacement
Q9
The time period of SHM is independent of
(Exam: KVPY Year: 2011)
(A) mass
(B) force constant
(C) amplitude
(D) system type
Q10
The unit of angular frequency is
(Exam: CBSE Year: 2006)
(A) Hz
(B) rad/s
(C) s
(D) m/s
Q11
If the length of a pendulum is doubled, its time period becomes
(Exam: NEET Year: 2017)
(A) half
(B) double
(C) \(\sqrt{2}\) times
(D) \(1/\sqrt{2}\) times
Q12
In SHM, the potential energy is maximum at
(Exam: JEE Main Year: 2014)
(A) mean position
(B) extreme positions
(C) midway
(D) everywhere same
Q13
The phase of SHM at \(t=0\) is called
(Exam: Olympiad Year: 2012)
(A) final phase
(B) angular frequency
(C) initial phase
(D) time period
Q14
The relation between linear frequency \(f\) and angular frequency \(\omega\) is
(Exam: CBSE Year: 2009)
(A) \(\omega = f\)
(B) \(\omega = 2\pi f\)
(C) \(f = 2\pi \omega\)
(D) \(f = \omega^2\)
Q15
The acceleration of a particle in SHM is zero at
(Exam: NEET Year: 2018)
(A) extreme position
(B) mean position
(C) midway
(D) everywhere
Q16
The time period of a mass-spring system increases if
(Exam: IIT-JEE Year: 2004)
(A) mass is increased
(B) spring constant is increased
(C) amplitude is increased
(D) gravity is increased
Q17
In SHM, velocity is maximum at
(Exam: BITSAT Year: 2015)
(A) extreme position
(B) mean position
(C) midway
(D) everywhere
Q18
The energy of SHM is proportional to
(Exam: KVPY Year: 2010)
(A) amplitude
(B) square of amplitude
(C) time period
(D) frequency
Q19
A particle executes SHM with period \(T\). The time taken to go from mean to extreme position is
(Exam: JEE Main Year: 2016)
(A) \(T/2\)
(B) \(T/4\)
(C) \(T/8\)
(D) \(T\)
Q20
The dimension of spring constant \(k\) is
(Exam: CBSE Year: 2011)
(A) \(MLT^{-2}\)
(B) \(MT^{-2}\)
(C) \(MT^{-1}\)
(D) \(ML^{-1}T^{-2}\)
Q21
The graph between displacement and time for SHM is
(Exam: NEET Year: 2019)
(A) straight line
(B) parabola
(C) sine curve
(D) hyperbola
Q22
The restoring force in SHM is conservative because
(Exam: IIT-JEE Year: 2001)
(A) it depends on velocity
(B) it depends on displacement
(C) work done is path dependent
(D) energy is not conserved
Q23
For small oscillations, the motion of a simple pendulum is SHM because
(Exam: NEET Year: 2014)
(A) angle is large
(B) \(\sin\theta \approx \theta\)
(C) string is heavy
(D) air resistance is present
Q24
The maximum acceleration in SHM is
(Exam: JEE Advanced Year: 2017)
(A) \(A\omega\)
(B) \(A\omega^2\)
(C) \(\omega/A\)
(D) \(A^2\omega\)
Q25
If the amplitude of SHM is doubled, the total energy becomes
(Exam: BITSAT Year: 2016)
(A) double
(B) half
(C) four times
(D) unchanged
Q26
The time period of SHM is minimum when
(Exam: Olympiad Year: 2013)
(A) mass is maximum
(B) force constant is maximum
(C) amplitude is maximum
(D) displacement is maximum
Q27
In SHM, velocity is zero at
(Exam: NEET Year: 2020)
(A) mean position
(B) extreme positions
(C) both mean and extreme
(D) everywhere
Q28
The phase difference between acceleration and displacement in SHM is
(Exam: IIT-JEE Year: 1999)
(A) \(0\)
(B) \(\pi/2\)
(C) \(\pi\)
(D) \(3\pi/2\)
Q29
The time period of a pendulum on the Moon is
(Exam: NEET Year: 2012)
(A) same as on Earth
(B) less than on Earth
(C) more than on Earth
(D) zero
Q30
The displacement in SHM is minimum at
(Exam: CBSE Year: 2010)
(A) mean position
(B) extreme positions
(C) midway
(D) everywhere
Q31
The velocity-time graph of SHM is
(Exam: JEE Main Year: 2015)
(A) linear
(B) parabolic
(C) sinusoidal
(D) circular
Q32
The restoring force constant of a spring is doubled. The new time period becomes
(Exam: BITSAT Year: 2017)
(A) \(T\)
(B) \(2T\)
(C) \(T/\sqrt{2}\)
(D) \(\sqrt{2}T\)
Q33
In SHM, the average kinetic energy over a cycle equals
(Exam: KVPY Year: 2014)
(A) zero
(B) total energy
(C) half of total energy
(D) twice the total energy
Q34
The condition for SHM is
(Exam: IIT-JEE Year: 2003)
(A) force proportional to velocity
(B) force proportional to displacement
(C) force independent of displacement
(D) force proportional to time
Q35
The frequency of SHM is
(Exam: NEET Year: 2011)
(A) inverse of period
(B) equal to period
(C) square of period
(D) twice the period
Q36
The kinetic energy of SHM is maximum when
(Exam: JEE Advanced Year: 2018)
(A) displacement is zero
(B) displacement is maximum
(C) acceleration is maximum
(D) force is maximum
Q37
A body executes SHM with angular frequency \(\omega\). Its frequency is
(Exam: CBSE Year: 2012)
(A) \(\omega\)
(B) \(\omega/2\pi\)
(C) \(2\pi\omega\)
(D) \(\omega^2\)
Q38
The motion is SHM if acceleration is
(Exam: NEET Year: 2015)
(A) constant
(B) proportional to velocity
(C) proportional to displacement
(D) proportional to square of displacement
Q39
The time period of SHM depends on
(Exam: IIT-JEE Year: 2000)
(A) amplitude
(B) initial phase
(C) system parameters
(D) displacement
Q40
In SHM, the restoring force is zero at
(Exam: NEET Year: 2013)
(A) extreme position
(B) mean position
(C) midway
(D) everywhere
Q41
The total energy of SHM is proportional to
(Exam: BITSAT Year: 2018)
(A) amplitude
(B) square of amplitude
(C) frequency
(D) time period
Q42
The acceleration in SHM is maximum at
(Exam: CBSE Year: 2014)
(A) mean position
(B) extreme positions
(C) midway
(D) everywhere
Q43
A pendulum clock runs slow on a hill because
(Exam: NEET Year: 2010)
(A) mass increases
(B) gravity decreases
(C) length increases
(D) air density decreases
Q44
The equation of SHM is
(Exam: IIT-JEE Year: 1997)
(A) \(x = A\sin(\omega t)\)
(B) \(x = vt\)
(C) \(x = at^2\)
(D) \(x = kt\)
Q45
The restoring force constant has SI unit
(Exam: CBSE Year: 2015)
(A) N
(B) N/m
(C) J
(D) kg
Q46
The motion of a particle is SHM if
(Exam: JEE Main Year: 2017)
(A) velocity is constant
(B) force is constant
(C) acceleration is proportional to displacement
(D) displacement is constant
Q47
The energy of SHM is equally divided between kinetic and potential energy at
(Exam: KVPY Year: 2016)
(A) extreme position
(B) mean position
(C) midway between mean and extreme
(D) everywhere
Q48
The time period of SHM increases if
(Exam: NEET Year: 2021)
(A) mass increases
(B) force constant increases
(C) amplitude increases
(D) displacement increases
Q49
In SHM, the direction of acceleration is always
(Exam: IIT-JEE Year: 2005)
(A) along velocity
(B) along displacement
(C) opposite to displacement
(D) perpendicular to velocity
Q50
The maximum potential energy of SHM is
(Exam: JEE Advanced Year: 2019)
(A) zero
(B) equal to total energy
(C) half of total energy
(D) twice the total energy

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