1

JEE Main 2022 (Online) 24th June Morning Shift

MCQ (Single Correct Answer)

+4

-1

The equations of two waves are given by :

y_{1} = 5 sin 2$$\pi$$(x - vt) cm

y_{2} = 3 sin 2$$\pi$$(x $$-$$ vt + 1.5) cm

These waves are simultaneously passing through a string. The amplitude of the resulting wave is :

2

JEE Main 2021 (Online) 22th July Evening Shift

MCQ (Single Correct Answer)

+4

-1

The motion of a mass on a spring, with spring constant K is as shown in figure.

The equation of motion is given by

x(t) = A sin$$\omega$$t + B cos$$\omega$$t with $$\omega$$ = $$\sqrt {{K \over m}} $$

Suppose that at time t = 0, the position of mass is x(0) and velocity v(0), then its displacement can also be represented as x(t) = C cos($$\omega$$t $$-$$ $$\phi$$), where C and $$\phi$$ are :

The equation of motion is given by

x(t) = A sin$$\omega$$t + B cos$$\omega$$t with $$\omega$$ = $$\sqrt {{K \over m}} $$

Suppose that at time t = 0, the position of mass is x(0) and velocity v(0), then its displacement can also be represented as x(t) = C cos($$\omega$$t $$-$$ $$\phi$$), where C and $$\phi$$ are :

3

JEE Main 2021 (Online) 17th March Evening Shift

MCQ (Single Correct Answer)

+4

-1

A sound wave of frequency 245 Hz travels with the speed of 300 ms

^{$$-$$1}along the positive x-axis. Each point of the wave moves to and from through a total distance of 6 cm. What will be the mathematical expression of this travelling wave?4

JEE Main 2021 (Online) 17th March Morning Shift

MCQ (Single Correct Answer)

+4

-1

For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal ?

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