A galvanometer of resistance \(76 \Omega\) gives full scale deflection when only \(5 \%\) of total current passes through it. The value of shunt is :

A coil having area A is placed in a magnetic field. The field is perpendicular to the plane of the coil. When the magnetic field changes from \( B_0 \) to \( 4B_0 \) in a time interval t, the magnitude of emf induced in the coil will be :

The magnetic field lines are completely expelled from a material when ( \(\chi\) is the susceptibility and \(\mu_r\) is relative permeability)

The electric field at 20 cm from the center of a conducting sphere of radius 2 cm is \( 4.5 \times 10^3 \, \text{N C}^{-1} \). The magnitude of charge on the sphere is:

There is a parallel plate capacitor of capacitance \( 3 \, \mu \text{F} \). The voltage between the plates is changing at the rate of 8 V/s. The displacement current is :

The near point of a hypermetropic person is 80 cm from the eye. The power of lens, required to enable the person to read clearly a book held at 25 cm from the eye is:

The radius of curvature of the path of a charged particle in a uniform magnetic field is directly proportional to the

An ac source of variable angular frequency and constant amplitude is connected in series with a capacitance C and an electric bulb of resistance R. When angular frequency is increased then :

Answer the question on the basis of passage given below :
Formaldehyde is the first member of the aldehydic series. It is present in green leaves of plants where its presence is supposed to be due to the reaction of \(CO_2\) with water in the presence of sunlight and chlorophyll. Commercially, formaldehyde is obtained by the controlled oxidation of methane in the presence of molybdenum oxide (\(MoO\)) acting as a catalyst. Formaldehyde is a constituent of a number of polymers also called resins. These are non volatile solids or semi solids which are obtained directly from certain plants and can be synthesized in the laboratory.
Benzaldehyde is less reactive towards nucleophilic addition reaction than formaldehyde because of:

The magnetic flux \(\Phi\), linked with a coil of resistance 5 \(\Omega\) varies with time as \(\Phi = (5t^2 - 4t + 1)\text{Wb}\). The current induced in the coil at 0.2 s is :

Sparrow comes under which of the following categories:

The blastocyst becomes embedded in the endometrium of the uterus. This is called :

Evaluate \(\int_0^{\frac{\pi}{4}} \frac{\sin 2 x}{\cos ^4 x+\sin ^4 x} d x=\)