Four resistors \(A, B, C\) and \(D\) form a Wheatstone bridge as shown in the figure. The bridge is balanced when \(C=100 \Omega\). If \(A\) and \(B\) are interchanged, the bridge balances for \(C=121 \Omega\). The value of \(D\) is

A ball falls from a height \(h\) and rebounds after striking the floor. The coefficient of restitution is \(e\). The maximum distance covered before it comes to rest is

Two capillary tubes of same length each of $50 \mathrm{cm}$ but of different radii $4 \mathrm{mm}$ and $2 \mathrm{mm}$ are connected in series. When water flows, the pressure difference between the ends of the arrangement is $P$. Then the pressure difference between the ends of the first tube is

In steady state, a capacitor of capacitance \(2 \mu \mathrm{F}\) is charged to \(4 \mu \mathrm{C}\), as shown in figure. If the internal resistance of the cell is \(0.5 \Omega\), then the emf of the cell is

Two point charges \(+6 \mu \mathrm{C}\) and \(+10 \mu \mathrm{C}\) kept at certain distance repel each other with a force of 30 N . If each charge is given an additional charge of \(-8 \mu \mathrm{C}\), the two charges

The time in seconds required to produce a potential difference of \(20 \mathrm{~V}\) across a capacitor of \(1000 \mu \mathrm{F}\) when it is charged at the steady rate of \(200 \mu \mathrm{C} / \mathrm{s}\) is

A man of weight \(50 \mathrm{~kg}\) carries an object to a height of \(20 \mathrm{~m}\) in a time of \(10 \mathrm{~s}\). The power used by the man in this process is \(2000 \mathrm{~W}\), then find the weight of the object carried by the man (take, \(g=10 \mathrm{~ms}^{-2}\) )

The following four wires are made of the same material. If same tension is applied to each, the wire having largest extension is

Using the standard electrode potentials given below identify the correct statements from the following.
\[
\begin{aligned}
\mathrm{Fe}^{2+}+2 e^{-} \longrightarrow \mathrm{Fe} ; E^{\circ} & =-0.44 \mathrm{~V} \\
\mathrm{Cu}^{2+}+2 e^{-} \longrightarrow \mathrm{Cu} ; E^{\circ} & =+0.34 \mathrm{~V} \\
\mathrm{Ag}^{+}+e^{-} \longrightarrow \mathrm{Ag} ; E^{\circ} & =+0.80 \mathrm{~V}
\end{aligned}
\]
(i) Copper can displace iron from \(\mathrm{FeSO}_4\) solution.
(ii) Iron can displace copper from \(\mathrm{CuSO}_4\) solution.
(iii) Silver can displace copper from \(\mathrm{CuSO}_4\) solution.
(iv) Iron can displace silver from \(\mathrm{AgNO}_3\) solution.

The area (in sq. units) of the triangle formed by the lines \(x^2-3 x y+y^2=0\) and \(x+y+1=0\), is

Glyscosidic linkage in carbohydrates is called

Which of the following are broad spectrum antibiotics?
\(\begin{array}{cccl} \hline \text { Penicillin G } & \begin{array}{c} \text { Chloramphenicol } \end{array} & \text { Ofloxacin } & \text { Ampicillin } \\ \hline \text { (I) } & \text { (II) } & \text { (III) } & \text { (IV) } \\ \hline \end{array}\)

The number of moles of electrons required to deposit \(36 \mathrm{~g}\) of \(\mathrm{Al}\) from an aqueous solution of \(\mathrm{Al}\left(\mathrm{NO}_3\right)_3\) is (At. wt. of \(\mathrm{Al}=27\) )