$2MnO_4^- +bC_2O_4 ^{2-} + CH^+ \rightarrow xMn^{2+} + y CO_2 + z H_2 O $
If the above equation is balanced with integer coefficients, the value of c is _ _ _ _ . (Round off to the nearest integer) Continue reading $2MnO_4^- +bC_2O_4 ^{2-} + CH^+ $
$\downarrow $
$ xMn^{2+} + y CO_2 + z H_2 O $
Let, $x + \frac{1}{x} + 4 = t$
$\therefore x + \frac{1}{x} = t – 4$
$ \Rightarrow {x^2} + \frac{1}{{{x^2}}} + 2 = {t^2} – 8t + 16$
$ \Rightarrow {x^2} + \frac{1}{{{x^2}}} – 14 = {t^2} – 8t = t(t – 8)$
$\therefore f(t) = t(t – 8)$
So, $f(0) = 0$
Q: After meals you wash your hands and due to non-availability of towel you shake your hands to remove the water as much as possible. What makes water remove in this process? Continue reading Hand Washing ~ Q & A
One main scale division of a Vernier caliper is ‘a’ cm and $n^{th}$ division of the Vernier scale coincides with $(n-1)^{th}$ division of the main scale. The least count of the caliper in mm is:
(A) $ \frac {10na}{(n-1)} $
(B) $ \frac {10a}{(n-1)}$
(C) $ \frac {10a}{n} $
(D) $ (\frac {n-1}{10n})a$ Continue reading One main scale division of a Vernier caliper is ‘a’ cm ….
(A) 0.4 (B) 0.8 (C) 1.3 (D) 1.6 Continue reading An extended object is placed at point O …
In chemistry, a mole is a unit of measurement used to express the amount of a substance. One mole of a substance contains Avogadro’s number of particles, which is approximately 6.02 x 1023. The concept of the mole is essential to chemistry as it allows chemists to easily calculate the amount of a substance in a reaction and convert between units of mass, volume, and number of particles. Continue reading Mole Concept
Let $\theta_1,\theta_1,……..,\theta_{10}$ be positive valued angles (in radian) such that $\theta_1+\theta_2+……..+\theta_{10}=2\pi$. Define the complex numbers $z_1=e^{i\theta_1},z_k=z_{k-1}e^{i\theta_k}$ for k=2, 3, …….., 10 where $i=\sqrt {-1}$. Consider the statements P and Q given below:
P: $|z_2-z_1|+|z_3-z_2|+………..+|z_{10}-z_9|+|z_1-z_{10}|\leq 2\pi $
Q: $|z_2^2-z_1^2|+|z_3^2-z_2^2|+………..+|z_{10}^2-z_9^2|+|z_1^2-z_{10}^2|\leq 4\pi $
Then,
(A) P is TRUE and Q is FALSE
(B) Q is TRUE and P is FALSE
(C) both P and Q are TRUE
(D) both P and Q are FALSE Continue reading Let $\theta_1,\theta_1,……..,\theta_{10}$ be …
