Explanation

Geothermal energy is the heat produced deep in Earth's core.

it is a clean, renewable resource that can be harnessed for use as heat and electricity

Explanation

Step 1: Calculate the total marks needed for an average of 85 over 5 exams.

Total marks needed=Average×Number of exams

Total marks needed=85×5

Total marks needed=425

Step 2: Calculate the sum of the marks from the first four exams.

78+85+90+92=345

Step 3: Subtract the sum of the first four exam marks from the total marks needed.

Marks needed in the fifth exam=425−345

Marks needed in the fifth exam=80

Explanation

Subtract 7 from both sides:

3x+7−7<22−7

3x<15

Divide both sides by 3:

x< 15/3

​x<5

Explanation

Deserts have little vegetation and moisture to retain the heat absorbed during the day.

This lack of heat retention causes temperatures to drop rapidly at night.

Explanation

Number of pizzas = 4 pizzas

The number of slices in each pizza = 8 slices

Total number of slices =  slices

4 x 8 = 32 slices

Next, we need to divide the total number of slices by the number of people to find out how many slices each person will get:

Number of people = 6 persons

Number of slices per person = Total number of slices / Number of people

Number of slices per person = 32/6 = 5 slices

Explanation

Relative permittivity is the ratio of a medium's is defined by:

1. The ratio of the electric field in vacuum to the electric field in the medium

and

2. The ratio of the capacitance with the medium to the capacitance with air

Explanation

The temperature within 10 km of the Earth's core is approximately 4000 Kelvin (K).

At such depths, the temperature is incredibly high due to the immense pressure and heat generated by the Earth's core.

Explanation

To find the cost of one pen, divide the total cost by the number of pens:

Cost of one pen = Total cost /Number of pens

Given:

Total cost for 5 pens = 125 rupees

Number of pens = 5

Cost of one pen= 125rupees / 5

Cost of one pen=25rupees

So, the cost of one pen is 25 rupees.

Explanation

The minimum angle of resolution (θ) for a lens of diameter (D) and light of wavelength (λ) passing through it can be expressed as:

𝜃= 1.22 𝜆 / 𝐷​

Where:

𝜆 is the wavelength of light

𝐷 is the diameter of the lens

The resolution power (R) is defined as the reciprocal of the angle of resolution:

𝑅 = 1 / 𝜃

Substituting the expression for 𝜃 into the equation for resolution power (R):

𝑅 = 1 / 1.22  𝜆 / 𝐷

Simplifying this expression:

𝑅 = 𝐷 / 1.22 𝜆 

So, the formula for the relation between resolution power (R) and the diameter of the lens (D) is:

𝑅 = 𝐷 / 1.22 𝜆

Explanation

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