Arrange the following series of emission lines in the spectrum of hydrogen atom in sequence according to their increasing wavelengths:
(A) Paschen series
(B) Lyman series
(C) Balmer series
Choose the correct answer from the options given below:

A magnetic needle has magnetic moment of \( 5 \times 10^{-2} \, \text{Am}^2 \) and Moment of inertia \( 12 \times 10^{-6} \, \text{Kg m}^2 \). It performs 60 oscillations in 1 minute when suspended in a magnetic field. What is the magnitude of the magnetic field ?

A bar magnet held perpendicular to a uniform magnetic field experiences a torque \( T_1 \). By what angle should it be rotated to change the experienced torque to \( 0.5T_1 \)?

In an experiment with Meter Bridge, with unknown resistance R in the left gap, the null point is obtained at \( l_1 = 40 \text{ cm} \) from the left end. Now a resistance of \( R' = 10 \Omega \) is connected in series with resistance R, the null point is obtained at \( l_2 = 70 \text{ cm} \) from the left end. The value of resistance R is

Choose the correct statements :
(A) A nuclide is represented as \( ^A_Z X \)
(B) Nuclids with same number of protons are called isotopes
(C) \( \alpha \)-ray scattering experiments allow determination of the nuclear radius
(D) Nuclids with same number of neutrons are called isotones
(E) The nuclear force distinguishes between neutron and proton
Choose the correct answer from the options given below :

Which of the following statements is NOT correct?

Resolving power of a telescope can be increased by increasing:

A 16 \( \Omega \) wire is bent to form a square loop. A cell of 9 V is connected across one of its sides. The potential difference between the diagonals of the square loop is :

MONOHYBRID CROSS
The inheritance of flower color in the dog flower (Snapdragon or Antirrhinum sp.) can be understood by crossbreeding between true-breeding red-flowered (RR) and true-breeding white-flowered plants (rr). When they were crossed, F₁ (Rr) was pink. When F₁ was self-pollinated, the F₂ results were Red, Pink and White. Here the genotype ratios were exactly as expected, but the phenotype ratios have been changed. What happened was that R was not completely dominant over r and this made it possible to distinguish Rr as pink from RR (Red) and rr (White).
What will be the genotypic ratio in F₂ generation when F₁ (Rr) was self-pollinated?

A 10 cm long air-core solenoid of cross-sectional area \( 1.0 \, \text{cm}^2 \) contains 300 turns. Its inductance is:

The thermostable DNA polymerase is isolated from the bacterium:

A coil of inductance 0.50 H and resistance 100 \( \Omega \) is connected to 240 V, 50 Hz supply. The maximum current in the coil is:

The variance of number of heads in three tosses of a coin is: