The torque acting on a magnet of magnetic length 8 cm and pole strength 20 A m placed in a magnetic field of \( 3 \times 10^{-5} \, T \) at an angle of \( \pi/6 \) rad will be

Let us consider interference between two sources of intensities \( I \) and \( 4I \). What will be the intensity at points where the phase difference is \( \pi \) ?

A moving coil galvanometer has a resistance of 40 \( \Omega \). It gives a full scale deflection with a current of 2 mA. How is to be modified to convert it to a voltmeter of 5 V range?

Which of the following phenomena proves the particle nature of photon ?

Which of the following is true ?
(A) The equilibrium of a charged particle under the action of coulomb force alone can never be stable.
(B) A hollow metal sphere placed on an insulating stand is charged positively. The electric potential inside is same as on surface
(C) A free electron and a free proton are placed in a uniform field, both will experience same magnitude of the force
(D) A free electron and a free proton are placed in a uniform field, both will experience same acceleration
Choose the correct answer from the options given below :

Match List I with List - II.,

List - I	List - II
(A) TV Transmission	(I) Short wave bands
(B) Long distance radio broadcasts	(II) Microwave
(C) RADAR	(III) Infrared rays
(D) TV Remote	(IV) Satellite

Choose the correct answer from the options given below :

A message signal of peak value 2 V is used to modulate a carrier wave of peak value 10 V . The modulation
index of the amplitude modulated wave is:

The cell reaction occurring at anode in the electrolysis of aqueous \(\text{NaCl}\) solution is :

The corner points of the feasible region determined by the set of constraints (linear inequations) are P(0,5), Q(3, 5), R(5, 0) and S(4, 1) and the objective function z = ax + 2by where a, b > 0 The condition on a and b such that maximum z occurs at Q and S is :

The value of \(\tan ^{-1} \frac{2}{11}+\tan ^{-1} \frac{7}{24}\) is :

Read the paragraph and answer the question.
Broadly, genetic disorders may be grouped into two categories - Mendelian disorders and Chromosomal disorders. Mendelian disorders are mainly determined by alteration or mutation in the single gene. These disorders are transmitted to the offspring on the same lines as we have studied in the principle of inheritance. The trait may also be linked to the sex chromosome as in case of haemophilia. It is evident that this X-linked recessive trait shows transmission from carrier female of male progeny.
What is the probability of having a haemophilic child to a carrier mother and a normal father ?

Four capacitors are connected in the circuit as shown. The equivalent capacitance between P and Q will be :

The equivalent capacitance between P and Q will be :

For a particular reaction taking place at \(\text{T} = 300 \text{ K}\), \(\text{E}_a= 300 \text{ kJ/mol}\) and \(\text{log k} = -3.45\); calculate the temperature at which the rate constant becomes 4 times that of k. (Given \(\text{log } 2 = 0.3010\))