Which one of the following equations of motion represents simple harmonic motion? (where \(k,k_0,k_1~\text{and}~a\) are all positive.)
1. Acceleration \(=-k_0x+k_1x^2\)
2. Acceleration \(=-k(x+a)\)
3. Acceleration \(=k(x+a)\)
4. Acceleration \(=kx\)

Subtopic:  Simple Harmonic Motion |
 73%
From NCERT
NEET - 2009
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Two simple harmonic motions of angular frequency \(100~\text{rad s}^{-1}\) and \(1000~\text{rad s}^{-1}\) have the same displacement amplitude. The ratio of their maximum acceleration will be:
1. \(1:10\)
2. \(1:10^{2}\)
3. \(1:10^{3}\)
4. \(1:10^{4}\)

Subtopic:  Linear SHM |
 86%
From NCERT
NEET - 2008
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A point performs simple harmonic oscillation of period T and the equation of motion is given by x= a sin ωt +π/6.After the elapse of what fraction of the time period the velocity of the point will be equal to half to its maximum velocity?

1.  T8

2.  T6

3.  T3

T 12

Subtopic:  Simple Harmonic Motion |
 67%
From NCERT
NEET - 2008
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

advertisementadvertisement

An SHM has an amplitude \(a\) and a time period \(T.\) The maximum velocity will be:
1. \({4a \over T}\)       
2. \({2a \over T}\)
3. \({2 \pi \over T}\)
4. \({2a \pi \over T}\)
Subtopic:  Simple Harmonic Motion |
 91%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Two particles \(P\) and \(Q\) start from origin and execute Simple Harmonic Motion along \(x\text-\)axis with same amplitude but with periods \(3\) seconds and \(6\) seconds respectively. The ratio of the velocities of \(P\) and \(Q\) when they meet is:
1. \(1:2\)
2. \(2:1\)
3. \(2:3\)
4. \(3:2\)
Subtopic:  Simple Harmonic Motion |
 85%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The angular velocities of three bodies in simple harmonic motion are ω1,ω2,ω3 with their respective amplitudes as A1,A2,A3. If all the three bodies have same mass and maximum velocity, then

1. A1ω1=A2ω2=A3ω3       
2.  A1ω12=A2ω22=A3A32
3. A12ω1=A22ω2=A32ω3   
4. A12ω12=A22ω22=A2  

Subtopic:  Simple Harmonic Motion |
 89%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

advertisementadvertisement

The maximum velocity of a simple harmonic motion represented by y=3 sin 100t+π6 is given by

1. 300       

2.  3π6

3. 100         

4.  π6

Subtopic:  Simple Harmonic Motion |
 93%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The displacement equation of a particle is x=3sin 2t+4cos 2t  The amplitude and maximum velocity will be respectively

1. 5, 10      

2. 3, 2

3. 4, 2       

4. 3, 4

Subtopic:  Simple Harmonic Motion |
 90%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The instantaneous displacement of a simple pendulum oscillator is given by x=A cos ωt+π4 . Its speed will be maximum at time

1. π4ω      

2. π2ω

3. πω                

4. 2πω

Subtopic:  Simple Harmonic Motion |
 61%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

advertisementadvertisement

The displacement of a particle moving in S.H.M. at any instant is given by y=a sinωt . The acceleration after time t=T4 (where T is the time period) -

1. aω                         

2.-aω

3. aω2                         

4.  -aω2

 

Subtopic:  Simple Harmonic Motion |
 87%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch