MATHS
Regression equation of Y on X is 3x + 4y - 18 = 0. The value of bxy is
(a) - 1/2
(b) - 3 /4
(c) 5/6
(d) 4/18
A blackbody of temperature T is inside chamber of T0 temperature initially, Sun rays are allowed to fall from a hole in the top of chamber. If the temperature of blackbody (T) and chamberT0 remains constant, then which of the following is not correct about 'black-body'?
It will absorb less radiation
It will absorb more radiation
It will emit more energy
It will emit energy equal to energy absorbed by it
Ans is (a)
2) In forced oscillation of a particle, the amplitude is maximum for a frequency w1 of the force, while the energy is maximum for a frequency w2 of the force, then
(A) w1 = w2
(B) w1 < w2
(C) w2 < w1 when damping is small and w2 > w1 when damping is small
(D) w2 > w1
Ans (A)
3) A space lab is revolving round the earth at a height 3R from earth's surface where R is radius of the earth. The time-period of a seconds pendulum in this lab is
Option
zero
infinity
2 sec
9.8 sec
Ans is infinity
4) As atomic number A of nucleus increa-ses,
the 'binding energy per nucleon' (B) increases when neutron-proton ratio' increases
initially the ratio n/p is unity
initially n/p increases and later decreases
initially B decreases and then increases
Ans B
MATHS
Regression equation of Y on X is 3x + 4y - 18 = 0. The value of bxy is
(a) - 1/2
(b) - 3 /4
(c) 5/6
(d) 4/18
@Ray :ans for 1 st one I've posted (but i want the reason)
2) u r wrong check the ans i posted
but wont the g0 there be g/16 sandipan,given that h=3R?
g0=g(1+h/R)-2=g(1+3)-2=g/16
so time period should be 4 times that os a seconds pendulum on the face of earth,that is 8 s.
2
.amplitude is maximum when freq. of d external frequency is equal to the natural freq. of the body, i.e, at resonance
.....and energy directly varies with amplitude, hence w1=w2..
[It's der in syllabus]
3.has to be infinity,
Hint:weightlessness in a satellite...the satellite is revolving,
Regression equation se coefficient nikaalna...I had posted all that info in a BITS math thread.
http://www.targetiit.com/iit-jee-forum/posts/maths-15931.html
Basically the slope of the regression line is the regression coefficient bxy.
bxy = -3/4 here.
It should be byx waise....bxy is for regression line of X on Y. This is regression line of Y on X. Both b's are different.
1) mein do we have to use Stefan's law?