Explanation

In the resistor color code, orange represents the digit 3.

This value is used in the first two bands (significant figures) or as the multiplier depending on the band position.

Explanation

Power is calculated as the rate of work done or energy transferred:

Power = Work / Time

= 20 J / 10 s

= 2 W

So, the machine's power output is 2 watts.

Explanation

The total resistance (R) in the series circuit is:

R = 5 + 10 + 10

= 25 Ω

The current (I) is given by Ohm's law:

I = V/R

= 50V / 25Ω

= 2A

Explanation

Kinetic Energy (K.E) = ½ × mass × velocity² = ½ × 2 × (4)² = 1 × 16 = 16J

The formula directly gives 16 joules for the given mass and velocity.

Explanation

Apparent weight = Normal force, and when moving upward with acceleration g, total acceleration = g + g = 2g.

So, Apparent weight = m × (g + g) = 2mg.

Explanation

A commutator is used in DC motors and generators to reverse or maintain the direction of current correctly.

It ensures that the current flows in one direction through the external circuit.

Explanation

The candela (cd) is the SI unit for luminous intensity, which measures the perceived brightness of a light source. 

Mole (a): This is the SI unit for the amount of substance. 

Kelvin (b): This is the SI unit for temperature. 

Ampere (d): This is the SI unit for electric current. 

Explanation

 A · A = |A||A|cos(0) = A² (since cos 0 = 1)  

   - This gives the magnitude squared of the vector.  

Explanation

Escape velocity depends on the mass and radius of a planet.  

   - Mercury has the lowest mass and smallest radius, hence the least escape velocity.  

Explanation

Electric Flux Maximum (Φ = E·A·cosθ)  

   - When the area vector is perpendicular to the electric field, θ = 0°, so cosθ = 1.  

   - Therefore, Φ = EA (maximum possible flux).