Explanation

The correct equation for the position of the bright fringes in Young's double-slit experiment is:

𝑦 =𝑚𝜆𝐷/𝑑

Where

y is the position of the bright fringe on the screen.

m is the order of the bright fringe (0, 1, 2, ...).

λ is the wavelength of light.

D is the distance between the slits and the screen.

d is the distance between the two slits.

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

The transformer works only on an AC supply

because A transformer needs an alternating current that will create a changing magnetic field

Note:

The transformer does not work on DC.

Direct current doesn't have a variable magnetic field

Explanation

To determine the height of the fluid above the orifice, we use Torricelli's law, which states:

v= √2gh

where:

v is the speed of efflux (9.8 m/s)

𝑔 is the acceleration due to gravity (9.8 m/s²)

h is the height of the fluid above the orifice

We need to solve for h: 9.8=  2×9.8×h

Square both sides to eliminate the square root:

9.8 ^2 = √2×9.8×h

96.04=19.6h

Divide both sides by 19.6 to isolate ℎ:

ℎ = 96.04/ 19.6

h=4.9m

Explanation

The (reverse) saturation current of a p-n junction diode is the current caused by the diffusion of minority carriers

From the n-type/p-type regions (quasi-neutral regions) to the depletion region

Explanation

Aluminium is capable of superconductivity, with a superconducting critical temperature of 1.2 kelvin

And a critical magnetic field of about 100 gauss (10 milliteslas)

It is paramagnetic and thus essentially unaffected by static magnetic fields

Explanation

2x+3=3x−2

First, let's move all terms involving x to one side of the equation. We can do this by subtracting 2x from both sides:

2x+3−2x=3x−2−2x

3=x−2

Next, let's isolate x by adding 2 to both sides:

3+2=x−2+2

5=x

So, the solution to the equation is x=5.

Explanation

To find the range from a set of data, subtract the smallest value from the largest value.

Given data:

85, 87, 90, 92, 95

Smallest value: 85

Largest value: 95

Range=Largest value−Smallest value

Range=95−85

Range=10

So, the range of the data set is 10.

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

Plane geometry has two dimensions

It deals with shapes like lines, circles, and polygons that exist on a flat plane.