bits questions

hey lets start a thread for the prep of bitsat....will be posting in questions that might be of some relevence to the exam...

guys...plz post in ur questions

127 Answers

1
cute_cat ·

yah

1
cute_cat ·

and one more

the integral part of (8 +3√7)n is

an odd integer

an even integer

zero

nothing can be said

23
qwerty ·

@ guruji, is it 1,3 butadiene ?? more stable the alkene, less is its heat of hydrogenation .....

11
SANDIPAN CHAKRABORTY ·

#33
ans is odd integer...

Let (8 + 3√7)n = I + f

and let f ' = (8 - 3√7)n .....(0 < f ' < 1)

now I + f + f' = (8 + 3√7)n + (8 - 3√7)n

= 2(C0 8n + C2 8n-2 (3√7)2 + .....)

= an even integer...

so f + f' = an integer....

now 0 < f < 1 (as f is the fractional part)

and 0 < f'< 1 (shown above..)

adding... 0 < f+ f' < 2

since 1 is the only integer between 0 and 2

f + f' = 1

now I + f +f' = an even integer

==> I + 1 = an even integer

==>I = an odd integer...

11
SANDIPAN CHAKRABORTY ·

# 15 no. 4 (though just a guess....)

is the answer (mn)m - 1

???

1
ayush_gupta ·

yeah it will be 1,3-butadiene as more stable the alkene less is the heat of hydrogenation..
And more alkylated the alkene is more it is stable...

11
SANDIPAN CHAKRABORTY ·

#29 ans is d

cos x = tan x

==> cos 2 x = sin x

==> 1 - sin 2 x = sin x

==> sin 2 x + sin x - 1 = 0

==> sin x = -1 ± √1+42 = √5 - 12 = 2 √5 - 14 = 2 sin 18

11
SANDIPAN CHAKRABORTY ·

also another qsn in #35....does it always holds true...i mean to say in such problems does the answer always come out to be odd integer???

1
cute_cat ·

#15, q 4 ans is nt what sandipan has written..someone plz explain

1
cute_cat ·

@ guruji...i did nt noe the ans to ur ques...but now i do...thanks...plz keep on posting such questions

1
cute_cat ·

@ sandipan, seems like...it will always hold true...

1
cute_cat ·

when an electron is emitted from a nucleus, then what is the effect on its neutron proton ratio?

39
Pritish Chakraborty ·

An electron going away from the nucleus is equivalent to the addition of a proton to the nucleus(as is in the case of beta decay, the atomic number increases). So the neutron proton ratio decreases(as protons increase).

1
1.618 ·

#15
Q4)

Is the order of group important?

1
cute_cat ·

of course it is, coz we talking about the sections, which are always different...

1
1.618 ·

Then my answer is (mn)!/(n!)m

1
1.618 ·

Is it correct?

1
1.618 ·

Didi, check question 2, #15

I guess its incorrect.

It should be:- If the roots of equation (x-b)(x-c) + (x-c)(x-a) + (x-a)(x-b) = 0

1
1.618 ·

If it is so, answer is B)

a+b\omega +c\omega ^{2}

Just expand and rearrange the expression. Put \Delta =0

1
1.618 ·

Didi, any more?

1
cute_cat ·

@ ray, ur ans correct...

jus give me the explaination of that permutains one

1
1.618 ·

It was just simple counting and grouping.

Let me see how can I explain.
Not very good at explaining..

1
1.618 ·

Permutation-

For 1st section, we have mCn choices, for 2nd, we have m-nCn choices, for 3rd we have m-2nCn choices...and so on till nCn.

Hence the total ways.

1
ayush_gupta ·

no sandipan, the answer is not always ood.. Take for example find the integral part of (4+2√5)2n+1, where the answer turns out to be even......

1
1.618 ·

Quadratic-

the given equation can be written as-

3x^{2}-2\left(a+b+c \right)x+ \left(ab+bc+ca \right)=0

For equal roots
\Delta =0

\Rightarrowa^{2}+b^{2}+c^{2}-ab-bc-ca=0

(a+b\omega +c\omega ^{2})(a+b\omega ^{2}+c\omega )=0

1
1.618 ·

@ ayush... condition shud be given that n≠-1

1
cute_cat ·

value of

\int_{0}^{sin^2\phi }{sin^{-1}\sqrt{\phi }}d\phi + \int_{0}^{cos^2\phi }{cos^{-1}\sqrt{\phi }}d\phi

k i get the derivative of this funtion as 0 using leibnitz, but then hw to find the value of the funtin??????

1
cute_cat ·

@ pritish...y are we considering the beta decay,?????

can this nt be the case of simple ionization....and therefore the ratio should remain constant?>>?>?

39
Pritish Chakraborty ·

cat, its your own question..it's talking about electron emission, not electron donation or electron sharing.

1
cute_cat ·

#55, hw does it come out to be even???????

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