Explanation

Step 1: Calculate the value of √0.0121

√0.0121 = √121 × 10^-4 = 11 × 10^-2= 0.11

Step 2: Calculate the value of (0.1)²

(0.1)^2 = 0.01

Step 3: Compare the values

√0.0121 = 0.11

0.12

(0.1)^2 = 0.01

The largest value is 0.12.

Explanation

Formula:

Gravitational Potential Energy (GPE) = m × g × h

Where:

m = mass = 12 kg

g = gravitational acceleration = 9.8 m/s²

h = height = 5 m

GPE = 12 × 9.8 × 5 = 588 J

Explanation

The center of gravity is the point where the entire weight of an object appears to act.

It can lie inside or outside the object, depending on its shape (e.g., outside for a ring or hollow sphere).

Explanation

Given f(x) = 6x/(3x - 2)

The denominator cannot be zero:

3x - 2 ≠ 0

3x ≠ 2

x ≠ 2/3

So, the domain of f(x) is all real numbers except x = 2/3.

The answer is R - {2/3}.

Explanation

Counseling helps not just in solving existing problems (remedial) but also in avoiding future ones (preventive).

A preventive approach focuses on early guidance to reduce potential issues.

Explanation

To find acceleration, we use the formula:

a = (v - u) / t

where:

v = final velocity = 15 m/s

u = initial velocity = 10 m/s

t = time = 4 seconds

a = (15 - 10) / 4

= 5 / 4

= 1.25 m/s²

Explanation

Maxwell's equations led to the derivation of the speed of electromagnetic waves, including light.

The speed of light (c) is given by C = 1/√μ₀ε₀, where μ₀ is the permeability of free space and ε₀ is the permittivity of free space.

Explanation

The frequency heard by the observer as the car approaches is given by the Doppler effect formula:

f' = f * (v / (v - v_s))

where f = 500 Hz, v = 340 m/s, and v_s = 20 m/s.

f' = 500 * (340 / (340 - 20))

= 500 * (340 / 320)

= 500 * 1.0625

= 531.25 Hz

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

The associative property w.r.t addition states that the order in which we add numbers does not change the result.

The correct equation is:

1 + (4 + 3) = (1 + 4) + 3

This equation represents the associative property of addition.