The displacement of a particle along the x-axis is given by x=asin2 ωt. The motion of the particle corresponds to:

1.  simple harmonic motion of frequency ω / π.
2.  simple harmonic motion of frequency  3 ω / 2 π.
3.  non-simple harmonic motion.
4.  simple harmonic motion of frequency ω / 2 π.



 

Subtopic:  Simple Harmonic Motion |
From NCERT
NEET - 2010
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh

The period of oscillation of a mass \(M\) suspended from a spring of negligible mass is \(T.\) If along with it another mass \(M\) is also suspended, the period of oscillation will now be:
1. \(T\)
2. \(T/\sqrt{2}\)
3. \(2T\)
4. \(\sqrt{2} T\)

Subtopic:  Linear SHM |
 76%
From NCERT
NEET - 2010
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh

A body performs simple harmonic motion about x=0 with an amplitude a and a time period T. The speed of the body at x=a2 will be:
1. πa32T                                         
2. πaT
3. 3π2aT                                           
4. πa3T

Subtopic:  Linear SHM |
 77%
From NCERT
NEET - 2009
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh

Which one of the following equations of motion represents simple harmonic motion? (where \(k\)\(k_0\)\(k_1\) and  α  are all positive.)
1. Acceleration = -k0x+k1x2\(k_0\)  
2. Acceleration = -kx+a
3. Acceleration = kx+a
4. Acceleration = kx

Subtopic:  Simple Harmonic Motion |
 72%
From NCERT
NEET - 2009
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh

Two simple harmonic motions of angular frequency 100 rad s -1 and 1000 rad s-1 have the same displacement amplitude. The ratio of their maximum acceleration will be:
1. 1:10
2. 1:102
3. 1:103                               
4. 1:104

Subtopic:  Linear SHM |
 85%
From NCERT
NEET - 2008
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh

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

(4) T12

Subtopic:  Simple Harmonic Motion |
 67%
From NCERT
NEET - 2008
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh

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 |
 90%
From NCERT
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh

Two particles P and Q start from origin and execute Simple Harmonic Motion along X-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 2021 - Achiever Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh

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

(a) A1ω1=A2ω2=A3ω3        (b)  A1ω12=A2ω22=A3A32

(b) A12ω1=A22ω2=A32ω3   (d) A12ω12=A22ω22=A2  

Subtopic:  Simple Harmonic Motion |
 89%
From NCERT
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh

The amplitude of a particle executing SHM is 4 cm. At the mean position the speed of the particle is 16 cm/sec. The distance of the particle from the mean position at which the speed of the particle becomes 83cm/sec will be

(1)         23cm             

(2)  3cm

(3)         1 cm                   

(4)  2 cm

Subtopic:  Simple Harmonic Motion |
 70%
From NCERT
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2021 - Achiever Batch - Aryan Raj Singh