Mr. Jain wishes to purchase a shop for ₹25,00,000 with down payment of ₹2, 00, 000. If he can amortize the balance at 9% per annum compounded monthly for 25 years, what will be his monthly installment if it is given that \(\left(a_{\frac{300}{0.0075}}=119.1616\right)\)?

Which of the following statements are true?
(A) If \(\vec{r}=x \hat{i}+y \hat{j}+z \hat{k}\), then \(x, y, z\) are called direction ratios of \(\vec{r}\).
(B) For any two vectors \(\vec{a}\) and \(\vec{b}, \vec{a}+\vec{b}=\vec{b}+\vec{a}\).
(C) \(\vec{a} \perp \vec{b}\) if and only if \(\vec{a} \times \vec{b}=\overrightarrow{0}\).
(D) Projection of \(\vec{b}\) on \(\vec{a}\) is \(\frac{\vec{a} \cdot \vec{b}}{|\vec{a}|^2}\).
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Time reversal test is satisfied by:

Let \(A=\left[\begin{array}{ccc}1 & -2 & 3 \\ 1 & 2 & 1 \\ \lambda & 2 & -3\end{array}\right]\). If \(A^{-1}\) does not exist, then \(\lambda=\)

If the function defined by \(f(x)=\left\{\begin{array}{ll}k x^2+1, & \text { if } x \leq 1 \\ 2, & \text { if } x>1\end{array}\right.\) is continuous at \(x=1\), then \(k\) is equal to

The coordinates of the image of the point \(\mathbf{P}(5,4,2)\) in the line \(\vec{r}=(-\hat{i}+3 \hat{j}+\hat{k})+\lambda(2 \hat{i}+3 \hat{j}-\hat{k})\), where \(\lambda\) is a parameter, is

The area enclosed between the curves \(y=x^2\) and \(x=y^2\) is

Two large plane parallel sheets with equal but opposite surface charge densities \(+\sigma\) and \(-\sigma\). A point charge q placed at points P1, P2, and P3 experiences forces F1, F2, and F3 respectively. Then :

Arrange the following compounds in order of in increasing boiling points:
(A) Bromomethane
(B) Bromoform
(C) Chloromethane
(D) Dibromomethane
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What is nucleosome?

Answer the question on the basis of passage given below :
Adsorption is a surface phenomenon and it differs from absorption which occurs throughout the body of the substance that absorbs. In physiosorption the attractive forces are mainly van der Waal's forces while in chemisorption ionic/covalent bonds are formed between particles of adsorbent and adsorbate. The catalytic activity of finely divided iron in Haber's process of ammonia manufacture can be explained by adsorption theory. Adsorption being an exothermic process, the heat of adsorption is utilised in enhancing the rate of the reaction. Adsorption has many applications being used in gas masks, control of humidity, chromatograph separation, curing diseases etc.
Which of the following is not a surface phenomenon?

The standard reduction potentials are given as:
\(\begin{array}{l}
E_{K^{+} / K}^{\circ}=-2.93 V \\
E_{Ag^{+} / Ag}^{\circ}=+0.80 V \\
E_{Cu^{2+} / Cu}^{\circ}=+0.34 V \\
E_{Ni^{2+} / Ni}^{\circ}=-0.25 V \\
E_{Li^{+} / Li}^{\circ}=-3.05 V
\end{array}\)
Arrange the following metals in increasing order of their reducing power:
A.K
B. Ag
C. Cu
D. Ni
E. Li
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Match the compounds given in List-I with the oxidation state of cobalt present in it given in

List-l (Compound)	List-II (Oxidation state of cobalt)
(A) \(\left[ Co ( NCS )\left( NH _3\right)_5\right]\left( SO _3\right)\)	(I) +3
(B) \(\left[ Co \left( NH _3\right)_4 Cl _2\right] SO _4\)	(II) +2
(C) \(Na _4\left[ Co \left( S _2 O _3\right)_3\right]\)	(III) \(0\)
(D) \(Co _2( CO )_8\)	(IV) \(+4\)

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