eV (electron volt) is the unit of

A spherical conductor placed in vacuum has capacitance of \( 3.14 \times 10^{-9} \, \text{F} \). Its radius will be:

A solenoid of length 0.4 m having 500 turns of wire carries a current of 3 A.
A coil of 10 turns and radius 0.01 m carries a current of 0.4 A.
What will be the torque required to hold the coil in the middle of the solenoid with its axis perpendicular to the axis of the solenoid?

Two wires of equal lengths carrying equal currents bent in the form of two loops, one in square shape and the other in circular shape having one turn only are suspended in same, uniform magnetic field perpendicular to the plane of loops. Choose the correct option

A series LCR circuit with an inductor, a capacitor and a resistor of resistance 50 Ω is connected to an ac source of 24 V, 50 Hz. The impedance of the circuit is 56 Ω. The average power dissipated in the circuit is

Choose the correct relation between focal length f and radius of curvature R of a convex mirror from the following:

A radioactive sample decays 7/8 times its initial quantity in 21 minutes. The half life of the sample will be

Let \(f: R \rightarrow R\) be defined as \(f(x)=100 x+1\) where \(R\) is a set of real numbers, then

Read the passage carefully and answer the Questions
Werner in 1898, propounded his theory of coordination compounds. In coordination compounds metals show two types of linkages (valences)-primary and secondary. The primary valences are normally ionisable and are satisfied by negative ions. The secondary valences are non-ionisable. These are satisfied by neutral molecules or negative ions. The secondary valence is equal to the coordination number and is fixed for a metal. The ions or group bound by the secondary linkages to the metal have characteristic spatial arrangements corresponding to the different coordination numbers. Both double salts as well as complexes are formed by the combination of two or more stable compounds in stoichiometric ratio. However, they differ in the fact that double salts such as carnallite, Mohr's salt, potash alum etc. dissociate into simple ions completely when dissolved in water. But complex ions do not dissociate completely into simple ions.
Which of the following statement is correct as per Werner theory?

The hybridisation of \(NCl_3\) and \(PCl_3\) are respectively :

Arrange the given structures in correct sequence of transcription unit when we move from left to right?
(A) Terminator
(B) Promoter
(C) Structural gene
(D) Transcription start site
Choose the correct answer from the options given below:

The function, \(f(x)=x+\frac{a^2}{x}, a>0, x \neq 0\) has a local maxima at

A radioactive isotope has half-life of ' \(K\) ' years. How long will it take, so that activity reduces to \(6 . 2 5 \%\) of its original value?