GATE Questions

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The error lies in part (1). 

As the phrase 'as much as' needs to be replaced with 'much as I'. This is because we use 'as much as' for comparing two qualities or things. But here in the given sentence a contrast is given in the latter part of the sentence. So we need a conjunction like 'even though' 'although' etc...

'Much as I' also serves the same purpose.

The unit of energy in MKS system is Joule.

Microscopes are of three types. They are :

1) Optical microscopes

2) Electron microscopes

3) Scanning tunneling microscopes

Scanning tunneling microscopes are the microscopes that are used to view metal surfaces.

(P - 4)(P - 6)

Now applying distributive property, we get

P.P - 4.P - 6.P + 6.4

P^2 - 10P + 24

Expressing 3/8 as a decimal fraction:

We can convert 3/8 into a decimal fraction by just dividing 3 by 8 or making 3 into 8 parts.

Then, it is 3/8 = 0.375 as a decimal fraction.

Other Method::

3/8 as a Decimal :

In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple.

Now to make 8 into 1000, we multiply numerator and denominator with 125

=> (3 x 125)/(8 x 125) = 375/1000 = 0.375.

For neutral atoms, the periodic trends in atomic size can be described like this

Atomic size decreases when going from left to right across a period,
Atomic size increases when going from top to bottom down a group.

Let's use these trends to try and figure out which atom would have the largest radius.

If you look at elements that are located in the same group, potassium will have a larger atomic radius when compared with sodium. Likewise, bromine will have a larger atomic radius when compared with chlorine.

Now focus on potassium and bromine. Since potassium is located at the start of period 3, and bromine at the end of the same period, potassium will have a larger atomic radius than bromine, and thus the largest atomic radius of the four given atoms.