An a.c. voltage is applied to a resistor of resistance \(5 \Omega\) and an inductor having inductive reactance \(5 \Omega\) connected in series. The phase difference between the applied voltage and the current in the circuit is:

The linear magnifications of the object in the conjugate positions of a convex lens are 4 and 2, respectively. The distance between the conjugate positions is 40 cm . This convex lens of glass \((u=1.5)\) is immersed in water \((u=1.33)\). The new focal length of convex lens in water is :

Two waves of amplitudes 3 m and 2 m , respectively superimpose at a point in the same phase. The resultant amplitude would be

The de Broglie wavelength associated with an electron accelerated through a potential difference of 100 V will be :

Some heat is developed in a uniform metallic wire across the ends of which a constant voltage V is applied. The heat developed will be tripled if

A polaroid sheet is rotated between two crossed polarizers. The intensity of transmitted light would be maximum, when the angle between the axes of the first polarizer and the polaroid sheet is

A square of side L meters lies in the xy-plane in a region where the magnetic field is given by \( \vec{B} = B_0(2\hat{i} + 4\hat{j} + 5\hat{k}) \, T \), where \( B_0 \) is constant. The magnitude of flux passing through the square is

The intensity ratio of two interfering sources in Young's double slit experiment is \(4 : 1\). The ratio of \( \frac{I_{min}}{I_{max}} \) is:

Rajesh calculated \(95\%\) confidence level. What does he mean by that?
(A) He can be \(95\%\) confident that his sample will include the population parameter.
(B) He can be \(95\%\) confused that his sample will include the population parameter.
(C) He can be \(5\%\) confident that his sample will not include the population parameter.
(D) He can be \(5\%\) confident that his sample will include the population parameter.
Choose the correct answer from the options given below :

Read the following paragraph carefully and answer the given questions.
Certain types of leukocytes (WBC) of our body like polymorpho-nuclear leukocytes (PMNL-neutrophils) and monocytes and natural killer (type of lymphocytes) in the blood as well as macrophages in tissues can phagocytose and destroy microbes. For determining the cause of allergy, the patient is exposed to or injected with very small doses of possible allergens, and the reactions studied. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Heroin, commonly called smack is chemically diacetylmorphine which is a white, odourless, bitter crystalline compound. This is obtained by acetylation of morphine. Techniques like radiography (use of X-rays), CT (computed tomography) and MRI (magnetic resonance imaging) are very useful to detect cancers of the internal organs. Different species of Plasmodium (P. vivax, P. malaria and P. falciparum) are responsible for different types of malaria. Of these, malignant malaria caused by Plasmodium falciparum is the most serious one and can even be fatal.
Which of the following technique is not very useful to detect the cancers of internal organs?

Arrange the given stages of spermatogenesis in the correct sequence.
(A). Spermatozoa
(B). Spermatocytes
(C). Spermatogonia
(D). Spermatids
Choose the correct answer from the options given below:

The amount to be deposited at the end of every 6 months to accumulate Rs. 50,000 in 8 years, if money is worth 6% p.a. compounded semiannually, is : (Given \((1.03)^{16}=1.6047\) )

Which of the following functions from Z to Z are bijections ? (where Z is the set of integers)