SAT (Stage-1) M...

Two satellites of Earth, S₁ and S₂, are moving in the same orbit. The mass of S₁ is four times the mass of S₂. Which of the following statements is true?

A sonometer wire of density 'd' and radius 'a' is held between two bridges at a distance 'l' apart. The wire has a tension 'T'. The fundamental frequency of the wire is

An object is placed 12 cm in front of a concave mirror and an image of the same size is obtained on the screen. How far back should the object be moved so that the image is formed 6 cm nearer to the mirror?

The critical angle for a denser medium is 35°. If the light travelling from a denser medium to a rarer medium makes an angle of 60° with the boundary of two media, then which of the following statements is true?

If a ray of light in a denser medium enters into a rarer medium at an angle of incidence i, the angles of reflection and refraction are r and r', respectively. If the reflected and refracted rays are at right angle to each other, then the critical angle for the given pair of media is

¹⁴N₇ is bombarded with ⁴He₂. The resulting nucleus is ¹⁷O₈ with the emission of a/an

In the given diagram of an electric motor, if the key (k) in the circuit is closed, then the armature will

A particle is moving with a uniform acceleration along a straight line AB. If its speeds at A and B respectively are 2 m/s and 14 m/sec, then

If equal volumes of two liquids with densities ρ₁ and ρ₂ are mixed, then the new density of the resultant mixture will be

A shell of mass 20 kg at rest explodes into two fragments whose masses are in the ratio of 2 : 3. The smaller fragment moves with a velocity of 6 ms^-1. The kinetic energy of the larger fragment is

In △ABC,∠ B is an obtuse angle with AD perpendicular to CB produced. If AB = 8 cm, BC = 6 cm and AC = 11 cm, then BD is equal to

In the figure below, the length of each edge of the cube is x.

If M and N are midpoints of two edges, then what is the perimeter of MNOP?

The sum of the integers lying between 1 and 100, which are divisible by either 3 or 7, is

In the adjoining figure, chord ED is parallel to the diameter AC of the circle. If ∠CBE = 65°, then what is the value of ∠DEC ?

Answer the following question by using the given figure.

If O is the center of the circle and ∠BOC = 80°, then ∠ADB is equal to