A 20 m long horizontal wire extends from North-East to South-West. It is falling down with a speed of \(4 \mathrm{~m} / \mathrm{s}\) horizontally. The horizontal components of the earth's magnetic field is \(0.4 \times 10^{-4}\) T. Find the value of induced current in the wire if the resistance of wire is \(2 \Omega\) is :

Match List-I with List-II

List-I (Electromagnetic Wave Wave)	List-II (Application)
(A) Microwaves	(I) Photographs during foggy season and night vision cameras
(B) X-rays	(II) Radar
(C) Gamma rays	(III) Photographs internal parts of human body
(D) Infrared Rays	(IV) Radiography for malignant tumors in cancer treatment

Choose the correct answer from the options given below:

An electric motor is driven by d.c. supply of emf \( V_0 \) and internal resistance r. The current when output power is maximum will be

Which of the following are true for optical instruments?
(A) A simple microscope is a converging lens of large focal length.
(B) A telescope is used to provide angular magnification of distant objects.
(C) The objective lens of a telescope has a smaller focal length than the eyepiece.
(D) The magnifying power of a telescope is the ratio of the focal length of the objective lens
to the focal length of the
eyepiece.
(E) A simple microscope is a converging lens of small focal length
Choose the correct answer from the options given below :

A photon has a momentum of \(3.3 \times 10^{-29} kg m / s\). The frequency of the waves associated with the photon will be (Given: \(h=6.6 \times 10^{-84} Js\) )

If 'n' identical resistors, each of value 'R' are first connected in series to a battery of emf 'E' and internal resistance 'R', the current drawn is 'I'. Now if they are connected in parallel, then the current drawn is '5 I'. The value of n is

There is a solenoid of length 1 m has a radius 1 cm and is made up of 1000 turns, carrying a current of 10 A. The magnitude of the magnetic field inside the solenoid is

The negatively charged DNA is wrapped around the positively charged histone octamer and forms a structure, called:

Equation of a line is \(\frac{x-3}{2}=\frac{4-y}{3}=\frac{2-z}{4}\) then its direction cosines are:

A machine has been producing steel tubes of mean inner diameter of 2 cm.
A sample of 10 tubes gives an inner diameter of 2.01 cm and a standard deviation of 0.063 cm.
Test the hypothesis that the machine is working in the proper order at 5% level of significance and answer, which of the following statements are correct?
[Given that \(t_{0.05}=2.262\)]
(A) The value of the test statistic is t = 0.476
(B) The null hypothesis is rejected at \(5 \%\) level of significance.
(C) The null hypothesis is accepted at \(5 \%\) level of significance.
(D) The degree of freedom is 10
Choose the correct answer from the options given below:

Identify the type of defect in the above solid. (The image for the 'above solid' is missing but question asks to identify defect in 'the above solid')

The disease phenylketonuria is an example of :

Two concentric coils, each of radius \( 2\pi \, \text{cm} \), are placed at right angles to each other. Currents of 3 A and 4 A respectively are flowing through the two coils. The magnetic induction at the center of the coils will be: