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#### The product is equal to :    Option: 1 Option: 2 Option: 3 Option: 4 Sum of an infinite GP

If a is the first term and r is the common ratio of a G.P. Then,

is the sum to infinite terms of the G.P.

Now,

#### A particle is moving along the x- axis with its coordinate with time 't' given by . Another particle is moving along the y-axis with its coordinate as a function of time given by  At  s, the speed of the second particle measured in the frame of the first particle is given by . Then  (in m/s) is ____________. Option: 1 580 Option: 2 700 Option: 3 100 Option: 4 300

At time t= 1 s

So the value of v is 580

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• Faculty Support #### The magnifying power of a telescope with tube length  is . What is the focal length (in cm) of its eye piece?   Option: 1 30 Option: 2 40 Option: 3 10 Option: 4 20

So the correct answer is given in option 3.

#### The dimension of stopping potential in photoelectric effect in units of Planck's constant 'h', speed of light 'c' and Gravitational constant 'G' and ampere A is :    Option: 1 Option: 2 Option: 3 Option: 4 Let Now,    So, From here we will get: p-q=1---------(1)

2p+3q+r=2----------(2)

-p-2q-r=-3----------(3)

s=-1-----------(4)

From equation 1, 2,3 and 4 we will get: p=0,q=-1, r=5 and s=-1

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• Faculty Support #### The critical angle (in degree)of a medium for a specific wavelength, if the medium has relative permitivity and relative permeability for this wavelength, will be :  Option: 1 15 Option: 2 30 Option: 3 45 Option: 4 60  and By using snells law So the correct option is 2.

#### Consider two solid sphers of radii  and masses M1 and M2, respectively. The gravitational field due to sphere and are shown. The value of  is:   Option: 1 Option: 2 Option: 3 Option: 4 Considering Case 2 and case 1, one by one

and using

So the correct option is 2.

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• Faculty Support #### The major product  in the following sequence of reaction is : Option: 1 Option: 2 Option: 3 Option: 4    Therefore, Option(3) is correct.

1

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• Faculty Support #### Among the reactions (a)  - (d), the reaction(s) that does / do not occur in the blast furnace during the extraction of iron is / are :(a)   (b)   (c)   (d)   Option: 1 (C) and (D) Option:2  (A) Option: 3 (A) and (D) Option: 4 (D)

The following reactions do not occur in the blast furnace:

C)

D)

Therefore, Option(1) is correct.

#### The correct order of the calculated spin-only magnetic moments of complexes (A) to (D) is : (A)  (B)  (C)  (D)  Option: 1 Option: 2 Option: 3 Option: 4 As we have learnt,

contains  which has a  configuration having  and

contains  which has a  configuration. In a weak ligand field, it has  and hence has

contains which has a  configuration. In a strong ligand field, these electrons get paired up and hence  and

contains which has a  configuration. These electrons get paired in the presence of strong ligand like  and hence,  and correspondingly .

Therefore, the correct order of spin only magnetic moment of the complexes is

Therefore, Option(4) is correct.  