Explanation

The minute hand of a clock moves 360 degrees (or 2π radians) in 60 minutes, which is equivalent to 1 hour.

To find the angular velocity, we can use the formula:

ω = Δθ / Δt

where ω is the angular velocity, Δθ is the change in angle (2π radians), and Δt is the time (1 hour or 3600 seconds).

Plugging in the values, we get:

ω = 2π radians / 3600 s ≈ 0.00175 rad s⁻¹

So, the angular velocity of the minute hand is approximately 0.00175 rad s⁻¹.

Explanation

• The relationship between current and potential difference (voltage) across a resistor is governed by Ohm's Law, which states that: I = V/R
• where I is the current, V is the voltage, and R is the resistance.
• This relationship is linear, meaning that if the voltage is reversed (i.e., the connections across the resistor are reversed), the current will also be reversed, but the graph will still be a straight line.

Explanation

Increasing the number of slits on a diffraction grating will increase the intensity of the central maximum of the diffraction pattern.

Explanation

CMYK (Cyan, Magenta, Yellow, Black) is the standard color model used in color printing.

These four inks are combined in layers to produce a wide range of colors on paper.

Explanation

The majority carriers in a p-type semiconductor are holes. 

When a semiconductor material is doped with trivalent impurity atoms (like Boron), it creates "holes" where electrons are missing, effectively giving a positive charge.

These holes then become the majority charge carriers, meaning they are the primary contributors to electrical current flow in the material. 

Explanation

 An optical instrument uses lenses or mirrors to manipulate light, 

A telescope uses lenses or mirrors to collect and focus light from distant objects, making them appear closer and larger. 

Explanation

Explanation

The standard SI unit for magnetic dipole moment is the ampere-square meter (A⋅m²).

It can also be expressed in terms of energy and magnetic field strength, resulting in joules per tesla (J/T), which is equivalent to A⋅m². 

Explanation

Total mechanical energy (E) = (1/2) × m × ω^2 × A^2

ω = 2π / T = 2π / 0.20 s = 10π rad/s

m = 40 g = 0.04 kg

A = 2.0 cm = 0.02 m

E = (1/2) × 0.04 kg × (10π rad/s)^2 × (0.02 m)^2

= 8.0 × 10^-3 J

Explanation