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Games, Puzzles and Quizzes

Cool goIITian

Joined:	31 Jan 2008
Post:	97

5 May 2008 21:09:33 IST

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815

some queries Guys

None

Hey guys here are some questions for a couple of minutes of brian storming….

I couldn’t get the answers …probably they were wrong…

But if any one has any ans to these he can post them here….

I GIVE NO GUARENTEE OF THE ANS

1.A lamp hanging from the ceiling of a carriage in a train oscillates with period T when the train is at rest. When the train goes over the crest of a hill of radius R with const speed. The period will be:

A. >T B. <T

C. =T D.none of these

2.Reason/assert

Trans-1-chloropropene has higher Dipole m than cis-1-chloropropeen.

Reason---The resultant in trans is less than in cis

3.The molarity and molality of an aq. Soln. of h2so4 is M1 and M2 resp.. if molar mass is M then the density is:

A.)M2(M1+M/1000) B) M2(1/M1 + M/1000)

C) M1(1/M2 + M/1000) D) M1(M2+M/1000)

4. If A and B are square matrices such that AB=0 than

A)det A=0 or det B=0 B) det B=0

C)b=A^-1 D) det A=0

5. if a²+b²+c²=25,x²+y²+z²=100

and ax+by+cz=50

then (aⁿ+bⁿ+cⁿ)/(xⁿ+yⁿ+zⁿ)=

A 1 B 2ⁿ

^C n^-2 D none

6.which of the following is non polar but contains polar bonds

a HCl b H2O c SO3 d NO2

7. The high Domes of ancient buildings have structural value (besides beauty). It arises on pressure diff on the two faces due to curvature(as in soap bubbles). There is a dome of radius 5m and uniform (but small).thickness…The surface tension of its masonry structure is abt 500 N/m .. Treated as hemisphere… the max weight it can support is

nearest to

a1500 b3000 c6000 d12000kg-wt

8. if two soap buubles of dif radii are connected by a tube

then air flows from

a small-àbig

b bigàsmall

ans are

1 c

2 a

3 b

4 b

5 b

6 a

7 b

8 b

remember guys most of my ans r commin dif so do put ur soln 4 ur ans

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Comments (16)

Gaurav |spideyunlimited| Ragtah

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8 May 2008 05:15:27 IST

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4. If A and B are square matrices such that AB=0 then

Either Det A or Det B = 0

Gaurav |spideyunlimited| Ragtah

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Posts: 3373

8 May 2008 05:17:13 IST

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5 .

a , b, c = 0, 3 , 4
x , y , z = 0 , 6 , 8

also ax + by + cz = 0 + 18 + 32 = 50

taking n = 1
we get 7 / 14 = 1/2 = 2 ^(-1) = 2 ^(-n)

anchit saini

Blazing goIITian

Joined: 1 Feb 2008

Posts: 1251

8 May 2008 05:18:30 IST

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nope check again spidey

AB = 0
so A inverse A B= 0
so IB=0
or B =0

similarly A =0 can be proved

hence answer is b and d

Gaurav |spideyunlimited| Ragtah

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Posts: 3373

8 May 2008 05:19:01 IST

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8. if two soap bubbles of dif radii are connected by a tube
AIR will flow from larger to smaller bubble to equalise pressure and make the two bubbles similar.

anchit saini

Blazing goIITian

Joined: 1 Feb 2008

Posts: 1251

8 May 2008 05:21:40 IST

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arey spidey
higher pressure is in smaller bubble

P is inversely proportional to R

Gaurav |spideyunlimited| Ragtah

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Posts: 3373

8 May 2008 05:26:43 IST

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arre distribution of pressure inside the tube...it will become evenly distributed when the two radii are same.

ultimator

Blazing goIITian

Joined: 27 Mar 2008

Posts: 412

8 May 2008 06:02:50 IST

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1. As train goes over hill at constant speed , it experiences a force $(m{v}^{2})/r$ , downwards. This centripetal force arises maybe due to friction or some force but we need not worry abt the cause, as its given to be somehow at constant speed. So, overall , final force downward is greater, which can be assumed to be another 'g'. Therefore, as g increases, T decreases.(from $T= 2\pi \sqrt{L/g}$ )

Siddharth Bora

Cool goIITian

Joined: 31 Jan 2008

Posts: 97

8 May 2008 18:59:30 IST

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Silving discropancy of ans between anchit and spidey......
for 4th q i feel spidey is right as anchit has proven A=0,and B=0
but in solving the q he has taken inverse which is not poss
so ans should b either of A=0,B=0

Siddharth Bora

Cool goIITian

Joined: 31 Jan 2008

Posts: 97

8 May 2008 19:01:26 IST

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for buuble q i feel anchit is right...kyonki anchit aur maine aath mein ye para tha.....

Nithin

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Joined: 29 Apr 2008

Posts: 12

8 May 2008 19:24:29 IST

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Q3. Molarity is moles/liter

Molality is moles/kg

Equating dimensionally,we get the answer as c.

sabarish bharadwaz

Scorching goIITian

Joined: 23 Apr 2008

Posts: 279

8 May 2008 19:24:58 IST

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@ ultimator.....
I cannot tell you the correct answer right now.. but your explanation is perfectly wrong...
no new force need to act to give that extra centripetal force... the normal reaction b/w the train and the ground decreases...

sabarish bharadwaz

Scorching goIITian

Joined: 23 Apr 2008

Posts: 279

8 May 2008 19:27:33 IST

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The second one.. I couldn't understand the reason..
what do you mean by the resultant...??If it's abt d dipolemoment.. R is wrong
A is correct.. and the net dipolemoment in Trans is higher.. because sp2 C is more electronegative than sp3 carbon....

Nithin

New kid on the Block

Joined: 29 Apr 2008

Posts: 12

8 May 2008 19:29:56 IST

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Q5. (aⁿ+bⁿ+cⁿ)/(xⁿ+yⁿ+zⁿ)=

Substituting 2 in place of n,we get answer as

1/4 which is n^-2.

So,the answer is c.

sabarish bharadwaz

Scorching goIITian

Joined: 23 Apr 2008

Posts: 279

8 May 2008 19:32:05 IST

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d fourth one.. detA= 0 or detB=0...
just consider these matrices...
A= 1 1
1 1

B= 1 -1
-1 1

Gaurav |spideyunlimited| Ragtah

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8 May 2008 20:57:15 IST

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dude that bubble question came in iit physics section also
and the answer is both bubbles tend to become similar.. bigger reduces its radius and smaller increases its radius

ashish banga

Blazing goIITian

Joined: 16 Dec 2006

Posts: 1362

8 May 2008 21:00:41 IST

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1st

less than T

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