The elements which may be considered for an ideal inductor as a solenoid,
(A) which is made of a thick wire
(B) which has negligible resistance
(C) which has a sufficiently large inductance
(D) which is made of a thin wire
Choose the correct answer from the options given below:

Which of the following statement(s) is/are correct?
(A) The power of a lens is the ability of the lens to converge or diverge the incident rays.
(B) S.I unit of the power of a lens is dioptre while focal length is in centimetres
(C) For a lens of larger focal length, power is smaller
(D) In any combination of lenses, the power of combination is not algebraic addition of power of combined lenses
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\( \alpha, \beta \) and \( \gamma \) rays emitted by a radioactive substance are allowed to pass through a region containing a magnetic field at right angles to their path. The energy gained will be

Arrange the following steps \(( A , B , C\) and D \()\) in proper sequence to determine the index correction in the given arrangement.

(A) The difference between the two gives the correction to be applied to the observed distance.
(B) The positions of the uprights are read on the scale. Their difference gives the observed distance between tip of the pin and the pole of the mirror.
(C) A thin straight index needle OP is placed so that its one end O touches the tip of the pin and the other end P touches the pole of the mirror.
(D) Length of the needle OP is measured by placing it on the scale which is the actual distance between the points in question.
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In a circuit, resistance \( R_1 \) is connected in series with the parallel combination of resistances \( R_2 \) and \( R_3 \). The currents passing through the resistances \( R_1, R_2 \) and \( R_3 \) are \( I_1, I_2 \) and \( I_3 \), respectively. What will be the ratio \( \frac{I_3}{I_1} \) of currents in terms of the resistances connected in the circuit?

A wire of resistance \( 5 \, \Omega \) is drawn out so that its length is increased to thrice its original length. The new resistance would be :

The distance between two point charges \(q_1 = 5\) mC and \(q_2 = -10\) mC in vacuum so that electrostatic force of attraction between them is 50 kN is :

A light ray from air is incident on a glass slab (\( \mu = 1.5 \)) as shown in the figure. It undergoes a total internal reflection and travels along AB. The thickness AC of the glass slab is 20 cm. The time taken by light to cross the glass slab after reflection is

The order of \(\sqrt{1+\left(\frac{d y}{d x}\right)^2}=\left[a \frac{d^2 y}{d x^2}\right]^{\frac{1}{3}}\) is

A proton and \(\alpha\)-particle have same kinetic energy. The de-Broglie wavelength ratio \( \frac{\lambda_p}{\lambda_{\alpha}} \) is equal to:

Identify the statements which hold true for cancer
(A) Cancerous cells do not show contact inhibition
(B) Chemotherapeutic drugs are used to kill cancerous cells
(C) Benign tumors can reach distant sites through blood
(D) Non-ionising radiations can also cause cancer
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Match List-I with List-II

List-I (Terms)	List-II (Features)
(A) Bioprocess engineering	(I) Use of bio resources without proper authorisation
(B) Somatic hybridization	(II) Correction of gene defect
(C) Gene Therapy	(III) Fusion of protoplasts from two different organisms
(D) Biopiracy	(IV) Maintenance of sterile ambiance for microbial growth

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A random variable X has the following probability distribution

X	0	1	2
\(P ( X )\)	\(1 / 4\)	\(1 / 2\)	\(1 / 4\)

then, which of the following is correct?