Explanation

In SHM, total energy (kinetic + potential) remains constant if no external force or damping is present.

Though kinetic and potential energy change with time, their sum stays the same throughout the motion.

Explanation

Imperative sentences change to indirect speech using verbs like "ordered" or "told" (depending on tone).

Since it's a command to a servant, "ordered" is the most appropriate verb.

Explanation

Given the equation x^2 + y^2 = 1, the range of y values is [-1, 1] since y ranges from -1 to 1 as x varies.

Explanation

Direction: It is not enough for a detective to see things he must be able to reason quickly and accurately. That is to say, he must see with his mental eye as well as with his physical eye. All detectives talk about deducing things. Sherlock Holmes used to deduce a man's character by an examination of his watch, his walking stick, or his hat. His idea was that every criminal leaves a number of traces of his crimes. It is a detective business to notice them and to interpret them.

1. What is meant by the phrase Mental eye?

Means over sighting

2. Which statement is correct to the writer?

Every criminal leaves a number of traces of crime

Explanation

Self-discipline is the foundation of effective behavior and learning in a classroom.

When students and teachers both practice self-control, a positive and respectful classroom environment is maintained.

Explanation

Charge is quantized and exists in discrete amounts.

The smallest possible charge is that of a single electron or proton, which is 1.6 × 10−¹⁹C.

Explanation

Step 1: Recall the formula for torque

Torque (τ) is related to the change in angular momentum (L) over time (t) by the formula: τ = ΔL / Δt

Step 2: Calculate the change in angular momentum

ΔL = 5L - 2L = 3L

Step 3: Calculate the torque

τ = ΔL / Δt = 3L / 3 = L

Explanation

Chaotic means افراتفری

Disorderly means بے چین

Explanation

In an arithmetic progression, the sum of n terms between a and b is given by: Sum = n(a+b)/2

This formula uses the first and last terms to find the total of evenly spaced values.

Explanation

To find the sum, we need to calculate each term:

i^101 = i (since i^1 = i and the powers repeat every 4 terms)

i^102 = i^2 = -1

i^103 = i^3 = -i

i^104 = i^4 = 1

Now, let's add them up:

i + (-1) + (-i) + 1 = 0