Explanation

The period of a simple pendulum is: T = 2π√l/g

A second’s pendulum has a period of 2 seconds (it takes 2 seconds for a full swing) and its length is L.

2 = 2π√L/g ⇒ L = g/π²

Now we want a pendulum with period 1 second:

1 = 2π√l1/g ⇒ l1 = g/4π²

Compare with the second’s pendulum:

l1 = L/4

Explanation

Flow of liquid through a needle depends a lot on the needle’s radius. Very small changes make a big difference.

The rule is: pressure needed is inversely proportional to the fourth power of the radius.

Needle 1: radius = 0.15 mm (0.30 mm diameter)

Needle 2: radius = 0.30 mm (0.60 mm diameter)

Compare the pressures:

Pressure ratio = (0.30/0.15)⁴ = 2⁴ = 16

So the nurse must press 16 times harder for the smaller needle to get the same flow.

Explanation

SHM displacement varies sinusoidally with time.

Amplitude ‘a’ represents the maximum displacement from the mean position.

Explanation

The slower motion of a pendulum is due to a longer period, which is related to the weaker gravitational force at higher altitudes

K2, being a very high mountain, has a significantly lower value of acceleration

Due to gravity, cities like Karachi, Murree, or Lahore result in a slower pendulum motion. 

Explanation

As temperature increases, a black body emits more energy at higher frequencies and shorter wavelengths.

This is explained by Wien's displacement law, which states peak wavelength shifts inversely with temperature.

Explanation

Venus

Eight planets in the solar system

Explanation

Kinetic energy is the energy an object possesses due to its motion.

The faster an object moves, the greater its kinetic energy.

Explanation

The Earth's revolution around the Sun takes about 365 days.

This movement causes the change of seasons throughout the year.

Explanation

Cathode Ray Tubes (CRT) are used in old television sets and computer monitors.

They work by directing electron beams onto a screen to create images.

Explanation