1.
The magnifying power of an astronomical telescope is 8 and the distance between the two lenses is 54 cm. The focal lengths of eye lens and objective lens will be respectively.
2.
If the earth were to suddenly contract to half the present radius (without any external torque acting on it) by how much would the day be decreased? (Assume earth to be a perfect solid sphere of moment of inertia = 2/5 MR2)Deselect Answer
3.
A movie projector projects an image of length 3.5m of a 35 mm movie film on a screen. Neglecting absorption of light by the film and the air, the ratio of the illumination on the screen decreases in the ratio
4.
A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is
5.
A person cannot see the objects beyond 100 cm. The power of a lens to correct this vision will be
6.
A man weighs 60 kg at earth surface. At what height above the earth's surface weight become 30 kg? Given radius of earth is 6400 km.
7.
The focal length of the lens in the human eye is maximum when it is looking at an object at
8.
A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to 1/3rd the escape velocity for that planet. The maximum height attained by the body is
9.
The power of a lens, a short-sighted person uses is 2 dioptres. Find the maximum distance of an object which he can see without spectacle?
10.
The acceleration due to gravity in the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2 m on the surface of A. What is the height of jump by the same person on the planet B?
11.
The magnifying power of an astronomical telescope is 10 and the focal length of its eyepiece is 20 cm. The focal length of its objective will be
12.
A thief stole a box full of valuable articles of weight W and while carrying it on his head jumped down from a wall of height h from the ground. Before he reaches the ground, he experienced a load
13.
The focal length of the objective and the eye-piece of a microscope are 4 mm and 25 mm respectively. If the final image is formed at infinity and the length of the tube is 16 cm, then the magnifying power of microscope will be
14.
The correct graph representing the variation of total energy (ET) kinetic energy (EK) and potential energy (Ep) of a satellite with its distance (r) from the centre of earthDeselect Answer
15.
Two lenses of power + 2.50 D and -3.75 D are combined to form a compound lens. Its focal length in cm will be
16.
The curves for potential energy Ep and kinetic energy EK of two particles system are shown in Fig. At what points the system will be bound
Deselect Answer
17.
The refractive indices of violet and red light are 1.54 and 1.52 respectively. If the angle of prism is 10°, the angular dispersion in degree is
18.
A spaceship orbits the earth at a constant speed along a circular path. When an astronaut inside the spaceship releases an object, it does not move away from him. Which of the following is the most accurate reason for this?
19.
Which of the following colors is scattered minimum?
20.
The escape velocity for a planet is ve A particle is projected from its surface with a speed v. For this particle to move as a satellite around the planetDeselect Answer
26.
Benzyl chloride (C6H5CH2Cl) can be prepared from toluene by chlorination withDeselect Answer
30.
The reagent with which both acetaldehyde and acetone react easily is
31.
A compound that gives a positive iodoform test is
32.
The Cannizzaro reaction is not given by
35.
The number of aldol reaction (s) that occurs in the given transformation is
Deselect Answer
37.
Which reaction is not feasible?
38.
Cu(aq) is unstable in solution and undergoes simultaneous oxidation and reduction according to the reaction:
Deselect Answer
39.
Standard potentials () for some half-reactions are given below:
Based on the above, which one of the following statements is correct?
Deselect Answer
40.
The correct option for a redox couple is
41.
In the electrochemical cell:
Zn | ZnSO4 (0.01M) || CuSO4 (1.0M) | Cu, the emf of this Daniel cell is E1. When the concentration of ZnSO4 is changed to 1.0M and that CuSO4 changed to 0.001 M, the emf changes to E2. From the followings, which one is the relationship between E1 and E2? (Given, RT/F = 0.059)
Deselect Answer
43.
Two half-cell reactions are given below
The standard EMF of a cell with feasible redox reaction will be:
Deselect Answer
44.
A button cell used in watches functions as following:
If Half-cell potentials are:
Deselect Answer
45.
Standard electrode potential of three metals X, Y and Z are -1.2 V, +0.5 V and -3.0 V, respectively. The reducing power of these metals will be:
49.
For the electrochemical cell,
Mg(s) | Mg2+ (aq,1M) || Cu2+ (aq,1M) | Cu(s)
The standard emf of the cell is 2.70 V at 300 K. When the concentration of Mg2+ is changed to x M, the cell potential changes to 2.67 V at 300 K. The value of x is _______. (Given, F/R = 11500 KV-1, where F is the Faraday constant and R is the gas constant, ln(10)=2.30)
56.
Let f : R R be defined as
Where, [x] is the greatest integer less than or equal to x. If f is continuous at x = 2, then λ+μ is equal to
Deselect Answer
61.
The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of balloon is 3 units and after 5 sec, it becomes 7 units, then its radius after 9 sec is
64.
A square piece of tin of side 30 cm is to be made into a box without top by cutting a square from each corner and folding up the flaps to form a box. If the volume of the box is maximum, then its surface area (in cm2) is equal toDeselect Answer
65.
Let the function f(x) = 2x3 + (2p-7) x2 + 3(2p-9) x – 6 have a maximum, for some value of x > 0. Then, the set of all values of p isDeselect Answer
