An ideal gas undergoes a four step cycle as shown in the P − V diagram below. During this cycle, heat is absorbed by the gas in
($\alpha$) steps 1 and 2 ($\beta$) steps 1 and 3
($\gamma$) steps 1 and 4 ($\delta$) steps 2 and 4 Continue reading An ideal gas undergoes a four step cycle …
Which of the following is the closest formula to find the speed of sound in dry air? ( $\gamma=1.4$, M=28.97 gm/mole)
| (A) $v=\sqrt T. 20$ | (B) $v=\sqrt {T.20}$ |
| (C) $v=T.20$ | (D) $T20$ is related to Cricket only |
Solve for $x \in R$, $x^9 +x^6 = 36$
Solution
Let, $x^3 =t$
We have, $t^3 +t^2 = 36$
$\therefore t^3 +t^2 -36 = 0$ Continue reading $x^9 +x^6 = 36$
A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of 60% and beta-decay with probability of 40%. Initially, the number of Q nuclei is 1000. The number of alpha-decays of Q in the first one hour is
(A) 50 (B) 75 (C) 350 (D) 525 Continue reading A heavy nucleus Q of half-life 20 minutes …
We have, $e^{i\theta}=cos\theta +i sin\theta $
Let, $\theta = 2n\pi + \frac {\pi}{2}$
Then, $e^{i.(2n\pi + \frac {\pi}{2})}=cos (2n\pi + \frac {\pi}{2}) +i sin (2n\pi + \frac {\pi}{2}) $ Continue reading $i^i$ where $i=\sqrt {-1}$ is a real number. T/F
Consider a triangle $\Delta$ whose two sides lie on the x-axis and the line x+y+1=0. If the orthocentre of $\Delta$ is (1, 1), then the equation of the circle passing through the vertices of the triangle $\Delta$ is
(A) $x^2+y^2-3x+y=0$
(B) $x^2+y^2+x+3y=0$
(C) $x^2+y^2+2y-1=0$
(D) $x^2+y^2+x+y=0$ Continue reading Consider a triangle $\Delta$ whose two sides …
