Explanation

For matrices A and B, the inverse of the product AB is given by:

(AB)⁻¹ = B⁻¹A⁻¹

Explanation

Flammable : Burn → Something flammable is likely to burn.

Fragile : Break → Something fragile is likely to break.

Explanation

Kinetic energy (K) is related to momentum (p) by K = p² / 2m. If momentum increases by 20%, the new momentum p' = 1.2p.

The new kinetic energy K' = (p')² / 2m = (1.2p)² / 2m = 1.44p² / 2m = 1.44K.

The percentage increase in K.E is ((K' - K) / K) × 100 = ((1.44K - K) / K) × 100 = 44%.

Explanation

The sound level β (in dB) is given by:

β = 10 log(I / I₀)

where I₀ is the threshold intensity (faintest audible sound). Given I = I₀:

β = 10 log(1) = 0 dB

Explanation

Median is the middle value when data is arranged in order.

Ordered data: 63, 65, 66, 67, 69 → middle value is 66.

Explanation

The theory of moral development is primarily associated with Lawrence Kohlberg.

Richard Over is not known for any significant contribution to this theory.

Explanation

Extrapolation is the process of estimating a value outside the range of known data points.

In contrast, interpolation refers to estimating a value within the known range.

Explanation

The turns ratio of a transformer is given by:

n = N₂ / N₁ = V₂ / V₁

Where:

- n is the turns ratio

- N₁ and N₂ are the number of turns in the primary and secondary coils

- V₁ and V₂ are the primary and secondary voltages

Given n = 5:

V₂ / V₁ = 5

This means the secondary voltage is greater than the primary voltage by a factor of 5.

Explanation

The discovery method encourages students to investigate, explore, and find information on their own.

It promotes deep understanding and active engagement with the content.

Explanation

Light : Darkness → opposites means روشنی : اندھیرے

Sanity : Madness → opposites means سنجیدگی : جنون