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 electron placed in a magnetic field of \( 3.14 \times 10^{-4} \, \text{T} \) moves in a circle. The frequency of the revolution of the electron is:

The electric field and magnetic field of a plane electromagnetic wave propagating in vacuum are expressed as
\(E_x=E_0 \sin (k z-\omega t)\)
\(B_y=B_0 \sin (k z-\omega t)\)
Which of the following statements are correct?
(A). The wave is propagating along the z- direction.
(B). The electric field Ex and magnetic field By are perpendicular to each other and perpendicular to the z direction.
(C) The electric and magnetic fields Ex and By are perpendicular to each other, and parallel to the direction of propagation.
(D) k is related to the wave length À of the wave by the usual equation \(k = A / 2 Tt\)
Choose the correct answer from the options given below:

A motor has an armature resistance \( 4 \, \Omega \). It is operating on 220 V. At its full speed, it develops a back emf of 200 V. The current in the armature when the motor is switched on will be :

A slab of material of dielectric constant k has the same area as the plates of a parallel plate capacitor, but has a thickness \( \frac{3d}{4} \). Where d is the distance between plates of capacitor. The ratio of the capacitance with dielectric inside it to its capacitance without the dielectric is:

The resistance of a galvanometer is G = 30 \( \Omega \). It gives full scale deflection for \( I_g = 2 \text{ mA} \). It is to be converted into an ammeter to measure current I = 0.3 A. The value of the shunt required is approximately

The resistance of a wire is \( R \, \Omega \). What will be its new resistance \( R_{new} \) if it is stretched to n times its original length?

A random sample of size 16 has 53 as mean. The sum of the squares of the deviations taken from mean is 150 . If the population mean is 56 then the value of \(t\)-test statistic is :

If \(95 \%\) confidence interval for the population mean was reported to be 140 to 150 and \(\sigma=25\), then the size of the sample used in this study is:
[Given: \(Z_{0.025}=1.96\) ]

Match List I with List II

LIST I	LIST II
A. Pain killers	I. Antipyretics
B. Treatment of infections	II. Analgesics
C. Reducing fever	III. Antibiotics
D. Treatment of depression	IV. Tranquilizers

Choose the correct answer from the options given below:

The area bounded by \(y=3 x+1, x=0, y=0\) and \(x=a\) is 8 Sq.units. Then value of \(a\) (where \(a>0\) ) is

A resistor of resistance R, an inductor of \((20/\pi) \text{ H}\) and a capacitor of \((5/\pi) \mu F\) are connected in series to a voltage source of 220 V, 50 Hz. The value of current in the circuit is 4 A. The impedance of the circuit is

In 1997, the first transgenic cow, Rosie, produced human protein-enriched milk. The milk contained the _________ and was nutritionally a more balanced product for human babies than natural cow-milk.