Answer:
The object measures 6 m in distance and 2 m in height.
It creates a virtual image that is upright.
Explanation:
Provided data includes:
Focal length = 0.25 m
Image height = 0.080 m
Image distance = 0.24 m
We are to determine the object's distance.
Using the lens formula:

Substituting values into the formula:




We also need to calculate magnification:
Applying the magnification formula:

Substituting values into this formula:


Next, we need to find the height of the object:
Using the magnification formula once more:



A convex mirror generates a virtual and upright image on its backside.
Consequently, the object is at a distance of 6 m and has a height of 2 m.
The image formed is virtual and upright.
Answer:
The particle's kinetic energy will equal 12U₀.
Explanation:
Given that,
A particle is fired from point B with an initial speed and arrives at point A with U₀ joules of kinetic energy gained.
The consistent force acting is 12F.
As per the problem,
The kinetic energy is
....(I)
Constant force remains at 12F.
A resistive force field now exists,
With the resistive force defined as,

As the particle travels from point B to point A,
We need to find the kinetic energy
Using the kinetic energy formula

Substituting values for 

Then, from equation (I)

Consequently, the particle’s kinetic energy will amount to 12U₀.
Answer:
-13.18°C
Explanation:
To solve this issue, we must examine the principles associated with the rate of thermal conduction.
This rate is defined by the equation

Where,
Q = Amount of heat transferred
t = time
k = Thermal conductivity constant
A = Area of cross-section
Temperature difference across the material
d = Material thickness
The scenario indicates a heat loss that is double the initial value, which means

Substituting values yields,




Solving for
,

Thus, when the heat lost per second is doubled, the temperature on the external surface of the window is -13.18°C.
Answer:
R₂ / R₁ = D / L
Explanation:
The resistance for a metal can be calculated by
R = ρ L / A
Where ρ indicates the resistivity of aluminum, L is the resistance's length, and A indicates the cross-sectional area
We use this formula for both configurations
For small face measurements (W x W)
The length is
L = W
Area
A = W W = W²
R₁ = ρ W / W² = ρ / W
For larger face measurements (D x L)
Length L = D= 2W
Area A = W L
R₂ = ρ D / WL = ρ 2W / W L = 2 ρ/L
From this, we find the relation to be
R₂ / R₁ = 2W²/L
Answer: The frequency is 1714.3 Hz
Explanation: The calculation is derived from the Doppler effect formula.
Since the source is approaching the observer, the observer's velocity is considered positive.
Refer to the attached document for the detailed derivation