The mutual inductance of a pair of solenoid depends :
(A) on their separation
(B) on their relative orientation
(C) on the current flowing
(D) on the number of turns in the solenoids
Choose the correct answer from the options given below:

A light ray is incident normal to one face of a right-angled isosceles prism and is totally internally reflected at the glass-air interface. If the angle of reflection is \(\frac{π}{4}\), what can be concluded about the refractive index?

A resistor and a capacitor are connected in series with an alternating current source. The potential difference across resistor and capacitor are 90 V and 120 V respectively and rms value of current is 3 A. What is the power factor of the circuit?

Work done in moving a charge q along a closed path of length l by an electric field \(\vec{E}\) is given by:

A coil with an inductance of 0.2 H has an inductive reactance of \( 62.8 \, \Omega \) at a certain frequency. The frequency is

In Young's double slit experiment using monochromatic light of wavelength \(\lambda\) the intensity of light at a point on the screen is 20 units, where the path difference is \(\lambda\). The intensity of light at a point having the path difference \(\lambda / 4\) is

Two slits are kept 1 mm apart and the screen is placed 1.0 m away. What is the fringe separation when blue-green light of wavelength 500 nm is used ?

Read the passage carefully and answer the questions
The coordination compounds are of great importance. These compounds are widely present in the mineral, plants and animal world and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine. For example, coordination compounds find use in many qualitative and quantitative chemical analysis. Some important metal extraction and purification make use of complex formation. Hardness of water can be estimated by stable complex formation of Ca\(^{2+}\) and Mg\(^{2+}\)
From which coordination complex, gold is recovered by reducing this complex with Zn ?

Which of the following is used as 'clot buster'?

A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is four. The probability that it is actually four is :

Answer the question on basis of passage given below :
A ketone \([ A ]\) which undergoes haloform reaction gives compound \([ B ]\) on reduction. Compound
\([B]\) on heating with sulphuric acid gives compound \([C]\) which forms monozonide \([D]\). The compound \([ D ]\) on hydrolysis in the presence of zinc dust gives compound \([ E ]\). 
Compound \([ E ]\) on oxidation gives \(C _2 H _4 O _2\) [F]
Compound [E] in presence of dil NaOH gives :

Match List I with List II

LIST I	LIST II
A. \(\frac{d y}{d x}=e^{x-y}+x^2 e^{-y}\)	I. Linear Differential Equation of type \(\frac{d y}{d x}+P y=Q\)
B. \(\frac{d y}{d x}-2 y=\cos 3 x\)	II. Homogeneous Differential Equation
C. \(x^2 \frac{d y}{d x}=x^2-2 y^2+x y\)	III. Linear Differential Equation of type \(\frac{d x}{d y}+P x=Q\)
D. \(\left(x+2 y^3\right) \frac{d y}{d x}=y\)	IV. Variable separable

Choose the correct answer from the options given below:

Gabriel phthalimide synthesis is used for the preparation of :