Explanation

Charge Q = I × t depends only on Current (A) and Time (s).

Hence, it is described in terms of two base quantities only.

Explanation

We can solve this using the kinematic equation for vertical motion under gravity:

Formula:

At the highest point, final velocity $v=0$, initial velocity $u=98\text{ m/s}$, $g=9.8{\text{m/s}}^2$.

Explanation

We’re given:

• Initial velocity upward $u=500\text{m/s}$

• Final velocity at top $$v = 0

• Acceleration due to gravity $g=9.8\text{m/s²}$ (downward)

Formula:

v2 = u2 − 2gh
0 = (500)2 − 2(9.8)h
2(9.8)h = 250000
h = 250000/19.6​
$$h=12755.1\text{m }\approx 12.7\text{km}$$

Explanation

Explanation

1. The frequency ($f$) of a wave is inversely proportional to its wavelength ($\lambda$) when the wave speed ($v$) is constant.

2. The fundamental wave equation is:

   $$\mathrm{<font\; color="\#0000ff"><b>v</b></font>}<font\; color="\#0000ff"><b>=</b></font>\mathrm{<font\; color="\#0000ff"><b>f</b></font>}\mathrm{<font\; color="\#0000ff"><b>\lambda </b></font>}$$

   where:

   • $v$ = wave speed (m/s),

   • $f$ = frequency (Hz),

   • $\lambda$ = wavelength (m).

3. This applies to all types of waves (e.g., sound, light).

Explanation

1 meter (m) = 1000 millimeters (mm)

1 meter (m) = 100 centimeters (cm)

1 centimeter (cm) = 10 millimeters (mm)

1 millimeter (mm) = 0.1 centimeters (cm)

1 kilometer (km) = 1000 meters (m)

Explanation

A spectrometer is an instrument used to measure the properties of light over a specific portion of the electromagnetic spectrum, especially to analyze line spectra produced by atoms or molecules.

It helps identify elements or compounds by detecting their unique emission or absorption lines in the spectrum.

A spectrometer is an instrument used to measure the wavelength of light (or other electromagnetic radiation) by dispersing it into a spectrum.

It is commonly used to analyze the spectral lines of elements, which correspond to specific wavelengths.

Explanation

1. The formula for kinetic energy is $KE=\frac{1}{2}m{v}^2$, where:

   • $m$ is the mass of the body,

   • $v$ is the velocity of the body.

2. Thus, kinetic energy is proportional to:

   • Mass of the body (directly proportional),

   • Square of the velocity of the body (proportional to $v^2$).

Explanation

Right-Hand Rule: When current flows through a straight wire, the magnetic field lines form concentric circles around the wire.

The direction of these circular field lines depends on the current direction (given by the right-hand rule: thumb points in current direction, fingers curl in field direction).

Explanation

Radioactivity is the process where an unstable atomic nucleus emits radiation (such as alpha, beta, or gamma rays) to become more stable.

It is a nuclear process, as it involves changes within the nucleus itself.