Home Physics Motion in a Straight Line Matching Type Question Figure give the x-t plots of a particle exec…
Physics Motion in a Straight Line Matching Type Question MCQ (Single Correct)

Figure give the x-t plots of a particle executing one-dimensional simple harmonic motion

Match the Column I with Column II

Column I

Time

Column II

Signs of position (x),

velocity (v) and

acceleration (a)

(A)

At t = -1.2 s

(p)

x < 0, v < 0, a > 0

(B)

At t = -0.3 s

(q)

x > 0, v > 0, a < 0

(C)

At t = 0.3 s

(r)

x > 0, v < 0, a < 0

(D)

At t = 1.2 s

(s)

x < 0, v > 0, a > 0

A
A – s, B – r, C – p, D = q
B
A – p, B – q, C – r, D = s
C
A – q, B – p, C – s, D = r
D
A – r, B – s, C – q, D = p

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Text Solution

Verified by Experts
The correct answer is:
A

In SHM, accelerations , a =

Where (i.e., angular frequency) is constant.

At

The slope of x –t is positive, hence v is positive.

Since hence a is positive

At t = - 1.2 s, x < 0 , v > 0, a > 0

A – s

At

The slope of x-t is negative hence v is negative.

Since a hence a < 0

B –r

At

The slope of x – t is negative hence v is negative.

Since hence a > 0

C – p

At

The slope of x – t is positive, hence v is positive,

Since a hence a < 0

At t x > 0, v > 0, a < 0

D- q

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