Explanation

We are given:

• A 30 cm long string
• One end is clamped (fixed), and the other is free to move transversely
• It is vibrating in its second harmonic

We are to find the wavelength of the constituent traveling waves

The allowed standing wave lengths are: L=(n−1/2​) λ​/2 ,for n=1,2,3,…

So:

• 1st harmonic (n = 1):

  L=λ​/4⇒ λ=4L=120cm

• 2nd harmonic (n = 2):

  L= 3λ/4​ ⇒ λ=4L/3​ =4×30/3 =40cm

Explanation

At the center of the Earth, gravitational forces from all directions cancel out.

Hence, the net gravitational force (and weight) is zero.

Explanation

Horizontal range in projectile motion is directly proportional to time of flight when speed is constant.

So, doubling the time results in double the distance covered.

Explanation

Jupiter's diameter is about 11 times the diameter of Earth.

Jupiter is the largest planet in our solar system.

Explanation

Explanation

Explanation

Explanation

Explanation

When a man throws a ball to the maximum height (h), the initial velocity (v₀) is entirely vertical.

The maximum height (h) is given by:

h = v₀² / (2g)

where g is the acceleration due to gravity.

Now, when the man throws the same ball to the maximum horizontal distance, the initial velocity (v₀) is entirely horizontal.

The maximum horizontal distance (R) is given by:

R = v₀² / g

Substituting the expression for v₀² from the first equation:

R = 2h

Explanation