A cell of emf 1.1 V and internal resistance 0.5 \(\Omega\) is connected to a 0.5 \(\Omega\) wire. Another cell of same emf is added in series, but current remains unchanged. The second cell's internal resistance is :

A symmetrical double convex lens is cut into two equal parts by a plane containing the principal axis. The power of the divided lens is :

Which of the following statements are correct?
(A) The electrostatic repulsive force between the protons can be greater than the nuclear force to bind the nucleons together inside a nucleus.
(B) The repulsive electrostatic force between protons in smaller nuclei is much smaller than the nuclear force between nucleons inside a nucleus.
(C) The gravitational force between nucleons is much smaller than the nuclear force between the nucleons inside a nucleus.
(D) The binding energy per nucleon between nucleons is almost constant because the nuclear force is a long range force.
Choose the correct answer from the options given below:

Choose the correct option from the following transitions in which the wavelength will be minimum

The angle of dip at a location in Southern India is about 18°. Which of the following is correct for dip angle in Britain ?
(A) Dip angle will be greater in Britain than in India.
(B) Dip angle will be smaller in Britain than in India.
(C) Nearer the place to the poles, lesser is the dip angle.
(D) Nearer the place to the poles, more is the dip angle.
(E) Dip angle is also called the angle of declination.

A monochromatic light wave is travelling in vacuum along the direction \(\frac{1}{\sqrt{2}}(\hat{i}+\hat{j})\).
The wavefront of the light wave is represented by:

Which of the following statements are correct?
A. Mutual inductance between two coils does not depend upon shape and size or orientation of two coils.
B. In an AC generator mechanical energy is converted into electrical energy.
C. The direct current can be stepped up and stepped down with a transformer.
D. Lenz's law is a consequence of conservation of energy.

Read the passage carefully and answer the questions
Optically active polyhydroxy aldehydes or ketones or molecules which provide such units on hydrolysis are called carbohydrates. They can be broadly classified as monosaccharides, disaccharides and polysaccharides depending on their behavior towards hydrolysis. They are also classified as reducing or non-reducing sugars. Another class of biomolecules is proteins which are polymers of twenty different amino acids linked by peptide bonds. Amino acids can be classified as acidic, basic or neutral depending on the relative number of amino and carboxyl groups in their molecule. The essential amino acids cannot be synthesized by our body and hence must be provided through diet. Nucleic acids are the polymers of nucleotides which in turn consist of a base, pentose sugar and phosphate. There are two types of
nucleic acids namely, DNA and RNA which differ in the composition of sugar and a base
Which of the following is non-reducing sugar?

If \(x=2 t^3\) and \(y=3 t^4\), then \(\frac{d^2 y}{d x^2}\) is equal to :

The induced e.m.f in a coil rotating in a uniform magnetic field will increase if
A. Total number of turns in the coil decreases
B. Magnetic field increases
C. Speed of rotation of coil decreases
D. Area of the coil increases
Choose the correct answer from the options given below:

Let \(A\) be a non-singular matrix of order 3 and \(|A|=15\), then \(|\operatorname{adj} A|\) is equal to:

The number of years required for a sum of money to get tripple at the effective rate of \(4\%\) is : (Given \((1.04)^{28}=3\) )

Select the Mendelian disorder out of the following: