Which of the following statements are correct?
(A) Permeability of soft iron < permeability of steel
(B) Susceptibility of soft iron > susceptibility of steel
(C) Retentivity of soft iron > Retentivity of steel
(D) Coercivity of soft iron > coercivity of steel
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A solenoid with \(2\times 10^4\) turns per meter, diameter 0.1 m, has a coil of 100 turns and 0.01 m radius placed inside. If solenoid current decreases from 4 A to 0 in 0.05 s, total charge through coil is :

A polaroid sheet \(P _2\) is rotated by an angle \(\theta\) (angle between pass axies of \(P _1\) and \(P _2\) ) between two crossed polaroids \(P _1\) and \(P _3\). The intensity of tranamitted light will be maximum for:

Choose the correct statements:
(A) The angle of incidence corresponding to an angle of refraction \(90^{\circ}\) is called critical angle (i).
(B) Refractive index of denser medium \(\mu=\frac{1}{\sin \left(i_c\right)}\).
(C) For \(i>i_c\), Snell's law of refraction cannot be satisfied.
(D) The refractive index of air increases with decrease in density.
(E) Rainbow is the combined effect of dispersion, refraction and reflection of sunlight by droplets.
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A radioactive nucleus of mass number A and atomic number Z, emits an alpha particle first and then a beta negative particle. The mass number and atomic number of the daughter nucleus will be

Using the given information, calculate the mass defect of the \({ }_8^{16} O\) nucleus in \(MeV / c ^2\).
Mass of electron, \(m_e=0.00055 u\)
Mass of proton, \(m_p=1.00727 u\)
Mass of neutron, \(m_n=1.00866 u\)
Experimental mass of nucleus \(=15.99053 u\)
\(1 u=931.5 MeV / c^2\)
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Ferro-magnetic materials used in transformer core must have :

Answer the question on the basis of passage given below :
One of the notable features of the transition element is the great variety of oxidation states it may show in its compounds. The elements which give the greatest number of oxidation states occur in or near the middle of the series. Manganese, for example exhibits all the oxidation states from +2 to +7. The lesser number of oxidation states at the extreme ends is either due to losing or sharing of few electrons (Sc, Ti) or too many d electrons of higher valence. Early in the first series scandium (II) is virtually unknown and titanium (IV) which is more stable than Ti (III) or Ti (II). On the other end, the only oxidation state of zinc is \(+ 2\).
For balancing the given reaction, value of \(x\) will be.
\(4 FeCr_2 O_4+Na_2 CO_3+7 O_2 \longrightarrow x Na_2 CrO_4+2 Fe_2 O_3+8 CO_2\)

Arrange the given organs in correct sequence which are involved in life cycle of Plasmodium?
(A) Gut of mosquito
(B) Salivary glands of mosquito
(C) Liver of man
(D) Blood of man
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Which of the following is correct about the Sinking Fund?

For a non ideal solution exhibiting positive deviation:
A. The vapour pressure is lower than that predicted by Raoult's law
B. The vapour pressure is higher than that predicted by Raoult's law.
C. The interaction at the molecular level are weaker than in the pure state.
D. The interaction at the molecular level are stronger than in the pure state.
E. Mixture of chloroform and acetone is a suitable example.
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A screen is placed at a distance of 90 cm from an object. The image of the object on the screen is formed by a convex lens placed at two different locations separated by 20 cm. The focal length of the lens is approximately

Differentiation of \(\log \left[\log \left(\log x^5\right)\right]\) with respect to \(x\) is