Three charges of magnitude \( -2Q, -3Q \) and \( Q \) are located at \( (a, 0, 0), (3a, 0, 0) \) and \( (5a, 0, 0) \) respectively. What is the magnitude of electric flux due to these charges through a sphere of radius 4a with its centre at the origin?

At one place on earth, the resultant magnetic field is 0.25 G and the angle of dip is 45°. The horizontal component of earth's magnetic field will be

The generalised communication system will have following essential components in sequence in a block diagram.
(A) Transmitter
(B) Channel
(C) Receiver
(D) Information source
(E) User of information
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A non-polar dielectric material is placed in an external electric field. Choose the correct statement(s) from the following:
(A) There will be no change in the positions of positive and negative charges inside the dielectric.
(B) The positive charges of molecules will shift opposite to the direction of the electric field.
(C) The negative charges of molecules will shift in the direction of the electric field.
(D) The positive charges of the molecules will shift in the direction of the field and negative charges of the molecules will shift opposite to the field.
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Which of the following statements is correct about the effect of the presence of a third charge on Coulomb force between the two charges?

In a silicon intrinsic semiconductor, the forbidden energy gap between the valence band and the conduction band is approximately equal to

Two positive point charges are 3 m apart in the air and the sum of the two charges is \( 20 \text{ } \mu\text{C} \). If the force between them is 0.075 N, the two charges are

The transition element having least number of unpaired electrons, is:

If \(y=5 \cos x-3 \sin x\), then \(\frac{d^2 y}{d x^2}\) is equal to :

Two persons A and B throw a die alternately till one of them gets a six and wins the game. If A begins, then the probabilities of winning of A and B respectively are

Match List-l with List-II

List-l (Genetic disorder)	List-II (Characteristics)
(A) Haemophilia	(I) Mutation in HBB gene
(B) Thalassemia	(II) Sex-linked recessive disease
(C) Phenylketonuria	(III) Aneuploidy
(D) Klinefelter's syndrome	(IV) Mental retardation and reduced hair and skin pigmentation

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If a man with blood group A marries a woman with blood group AB. Which of the following blood group will never be found in their children?

The work function of a photosensitive material is 4.0 eV. The longest wavelength of light that can cause electron emission from the material is (approximately)