This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Three identical spheres each of radius .R. are placed on a horizontal surface touching one another. If one of the spheres is removed, the shift in the centre of mass of the system is |
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Answer» `R//2 SQRT(3)` |
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| 2. |
Type of satellites are given in Column-I and their uses are given in Column-II. Match them properly : {:("Column-I","Column-II"),("(1) Polar satellite","(a) Tele communication"),("(2) Geo-stationary satellite","(b) Investigation"),(,"(c) For information about atmosphere"):} |
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Answer» |
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| 3. |
A force of 100 dynes acts on a particle of mass 0.5 kg for 10 sec. Calculate the velocity of the particle and the K.E produced. |
| Answer» SOLUTION :20cm/s,`10^5`ERGS | |
| 4. |
A wave stretched between two rigid supports vibrate in its fundamental mode with a frequency of 45 Hz. The mass of wire is3.5 xx 10^(-2) kg and its linear mass density is 4.0 xx 10^(-2) kg m^(-1). What is (a) the speed of transverse wave on the string, and (b) the tension in the string? |
| Answer» SOLUTION :(a) `79 MS^(-1)` (b) `248N` | |
| 5. |
A cappilary of diameter d mm is dipped in water such that the water rises to a height of 30 mm. If the radius of the capillary is made ((2)/(3)) of its previous value, then compute the height up to which water will rise in the new capillary ? |
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Answer» Solution :We KNOW the height of the CAPILLARY RISE `H = (2T cos theta)/(r dg)` where T = surface tension, r = RADIUS , d = density , g = acceleration due to gavity Now, `h_1r_1 = h_2r_2implies (h_2)/(h_1) = (r_1)/(r_2)` Here , `r_2 = 2/3 r_1 and h_1 = 30 mm` `h_2 = (r_1)/((2/3)r_1) xx 30 = 3/2 xx 30` `h_2 = 45 mm`. |
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| 6. |
Choose the correct statement from the following statement ? |
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Answer» The DOT product is associative |
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| 7. |
(A) : In taking into account the fact that any object which floats must have an average density less than that of water, during world war 1, a number of cargo vessels are made of concrete. (R ) : Concrete cargo vessels filled with air floats on water. |
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Answer» Both (A) and (R ) are TRUE and (R ) is the correct EXPLANATION of (A) |
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| 8. |
A oscillator of mass 100g executes damped oscillation. When it complete 100 oscillations its amplitude of oscillation becomes half to its original amplitude. If time period is 2s, then find the value of damping coefficient. |
| Answer» SOLUTION :`B= 0.693" DYNE SECOND/"CM` | |
| 9. |
At two particular closest instants of time t_(1)and t_(2)the displacements of a particle performing SHM are equal. At these instants. |
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Answer» INSTANTANEOUS SPEEDS are equal. |
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| 10. |
The escape velocity of the surface of earth is 11.2 km/s. What would be the escape velocity of the surface of another planet of the samemass but (1^(th))/4 times the radius of the earth ? |
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Answer» 44.8 km/s `v_e=SQRT((2GM_e)/R_e)= 11.2 (km)/s` For PLANET `v_p = (sqrt(2GM_p))/R_p` mass of planet `M_p=M_e` Radius of planet `R_p = R_e/4` `v_p = sqrt((2GM_e)/(R_e/4)) ` `=2 sqrt((2GM_e)/R_e)` `=2(v_e)` `= 1 (11.2 km//s) ` ` =22.4km//s ` |
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| 11. |
A man running has half the kinetic energy of a boy of half his mass. The man speeds up by 1 ms^(-1) and then has KE as that of the boy. What was the original speed of man? |
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Answer» `sqrt(2) ms^(-1)` |
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| 12. |
What is the displacement of a body in SHM when the potential energy becomes three times than kinetic energy? |
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Answer» Solution :`(1)/(3)U =K` `(1)/(3) (kx^(2))/(2) = (1)/(2)k(A^(2)-x^(2))` `therefore x^(2) = 3A^(2) -3x^(2)` `therefore 4x^(2) = 3A^(2)` `therefore x^(2)=(3A^2)/(4)` `therefore x = pm (SQRT(3)A)/(sqrt(2))`. |
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| 13. |
If for a gas R/(C_v)=0.67, this gas is made up of molecules which are |
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Answer» monoatomic |
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| 14. |
A body weights w_(1) in air and w_(2) in water. The specific gravity of the material of the body is |
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Answer» `(W_(1))/(W_(2))` |
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| 15. |
A and B are the numerical values of a physical quantity and C and D are its units in two systems of mesurement . If C > D, then |
| Answer» Answer :B | |
| 16. |
A pendulum has a string of length 99.39 cm. how much length of the pendulum must be shortened to keep the current time of the pendulum if it loses 4 s a day? |
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Answer» 0.0009 cm LET dl be the length by which the pendulum should be SHORTENED to keep the correct time `(dn)/(n)=-(dl)/(2l)implies(-4)/(24xx3600)=(-dl)/(2xx99.39)` `impliesdl=0.00920cm` |
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| 17. |
Hydrostatic pressure is a scalar quantity, even though pressure is force divided by area and force is a vector? Why? |
| Answer» SOLUTION :For a QUANTITY to be vector, it should have magnitude and DIRECTION. Pressure does not DEPEND on direction, so it is a SCALAR. | |
| 18. |
A black body at a high temperature T radiates energy at the rate of E. When the temperature falls to T/2,the radiated energy will be |
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Answer» E/4 |
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| 19. |
Angular momentum is ………………….. Vector. |
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Answer» `vecpxx VECR` |
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| 20. |
Only …. Waves can be propagated by fluid medium. |
| Answer» SOLUTION :LONGITUDINAL. | |
| 21. |
The Poisson's ratio o should satisfy the relation |
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Answer» `-1 LT SIGMA lt 0.5` |
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| 22. |
What is GUT ? |
| Answer» Solution :GUT MEANS GRAND UNIFICATION THEORY which COMBINES all forces into a single force. | |
| 23. |
Red shift means |
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Answer» SOURCE is going away from observer |
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| 24. |
At a certain height a body at rest exlpoles into two equal fragements with one fragment receiving a horizontal velocity of 10 ms^(-1). The time interval after the exlosion for which the velocity vectors of the two frgaments become perpendicular to each other is (g = 10ms^(-2)) |
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Answer» 1s |
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| 25. |
The P.E of a string when stretched by 2 cm is U.Its P.E when stretched by 10 cm is |
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Answer» U/25 |
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| 26. |
The cross product of the vectors (2i+3j+4k) and (i+4j-5k)is |
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Answer» `-hati-14hatj+11hatk` |
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| 27. |
The height and width of each step of a staircase are 20 cm and 30 cm respectively. A ball rolls off the top of a stair with horizontal velocity v and hits the fifth step. The magnitude of v is (g = 10 ms^(-2)) |
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Answer» `1.5 SQRT(5) MS^(-1)` |
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| 28. |
The bob A of a pendulum of length 1m released from 30^(@) to the vertical hits another bob B of same mass at rest on the table. How high does the bob A rise after the collision and find the velocity of B. |
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Answer» Solution :The bob of pendulum acquires a velocity `V= sqrt(2gl(1- cos THETA))`, on REACHING the lower most POSITION and makes elastic collision with the bob B of same mass. Hence the bodies simply EXCHANGE their velocities after collision. The bob of pendulum does not RISE at all and velocity of B is `V= sqrt(2gl(1- cos theta))= 1.62 ms^(-1)` |
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| 29. |
The angular speed of a motor wheel is increased from 600 rpm to 1560 rpm in 8 seconds. (i) What is its angular acceleration, assuming the acceleration to be uniform? (ii) How many revolutions does the engine make during this time? |
| Answer» SOLUTION :`alpha=4pi" RADS"^(-1)andn=144` | |
| 30. |
What are personal errors ? |
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Answer» SOLUTION :These are the ERRORS which ARISE DUE to the inexperience of the observer. |
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| 31. |
The dimensional formula ML^(2) T^(-2) represents |
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Answer» MOMENT of a force |
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| 32. |
A Fahrenheat thermonmeter reads 113^(@)F while a faulty celsius thermometer reads 44^(@)C. The correction to be applied to the celsius thermometer is |
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Answer» |
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| 33. |
Shape of the earth is not perfect spherical. How we can say ? |
| Answer» Solution :`IMPLIES` Because on the earth SURFACE value of .g. is foundto be different at different places. As `g = (GM_e)/(R_e^2)`g is different means RADIUS of earth R, is not same at all places on the earth. | |
| 34. |
A body of mass m is taken from the Earth's surface to a height equal to the radius R of the earth. If g is the acceleration to gravity at the surface of the Earth, then find the change in the potential energy of the body ....... |
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Answer» `1/4mgR` |
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| 35. |
For object at rest on any planet, its escape speed v_e is directly proportional to its mass and radius. |
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Answer» |
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| 36. |
A gas is enclosed in a vessel of volume V at a pressure P. It is being pumped out of the vessel by means of a piston - pump with a stroke volume v. What is the final pressure in the vessel after n strokes of the pump? (Assume temperature remains constant). |
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Answer» `P [ (1)/( 1- ( UPSILON//V) )]^(1//N)` |
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| 37. |
A body of mass m resting on a smooth horizontal plane starts moving under a constant force F. During its rectilinear motion, the angle theta between the direction of force and horizontal plane varies as 8 = kx , where k is a constant and x is the distance travelled by the body from the initial position. What is the velocity of the body? |
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Answer» `(2F)/m tan theta` |
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| 38. |
Some quantity of heat is given to a substance. The quantity which determines the temperature of the body is |
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Answer» Mass |
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| 39. |
A force of 3N and 4N are acting perpendicular to an object, the resultant force is |
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Answer» 9N |
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| 40. |
When a projectile attains the escape velocity, then on surface of planet its |
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Answer» KE is GREATER than PE numarically |
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| 41. |
What is the density of water at a depth where pressure is 80.0 atm, given that its density at the surface is 1.03xx103" kg m"^(-3) ? |
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Answer» |
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| 42. |
In ________ the translational motion is more than rotational motion. |
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Answer» Slipping |
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| 43. |
Two seconds after projection, a projectile is moving at 30^(@) above the horizontal . After one more second it is moving horizontally. If g=10ms^(-2), the velocity of projection is |
| Answer» Answer :D | |
| 44. |
N molecules each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel at temperature T. The mean square of the velocity of molecules of gas B is v^2 and the mean square of x component of the velocity of molecules of gas A is w^2. The ratio (w^2)/( v^2) is |
| Answer» ANSWER :D | |
| 45. |
A copper wire of negligible mass, length (l), cross-sectional area (A) is kept on a smooth horizontal table with one end fired, a ball of mass 'm' is attached at other end. The wire and the ball are rotated with angular velocity 'omega'. If wire elongates by Delta lthen find Young's modulus of wire. If on increasing the angular velocity from omegato omega^1 the wire breakdown, obtain breaking stress (Delta l lt lt l) |
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Answer» Solution :a)`R = L + Delta l` ` F = T mr w^2 = m (l+Delta l)omega^2 ` as `Delta l` in small ` F = ml omega^2 "" y = (Fl)/(Ae)"" y = ((ml omega^2)l)/(A Delta l)` B) we know breaking stress= breaking force/area of cross SECTION ` = (ml omega^(1^2) )/(A)` |
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| 46. |
When a source of sound approaches a stationary listener, the sound appears to be ______to the listener . (Fill in the blank) |
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Answer» |
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| 47. |
1gm water at 100^@C and 10^(5)Papressure converts into 1841cm^3 of steam at constant temperature and pressure. If latent heat of vaporization of water is 2250J/g. The change in internal energy of water in this process is |
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Answer» zero |
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| 48. |
The equation of a certain gas can be written as (T^(7//5))/(P^(2//5)) const.. Its specific heat at constant volume will be |
| Answer» ANSWER :B | |
| 49. |
If the coefficient of apparent expansion of the liquid is greater than the coefficient of real expansion of the liquid, what do you infer? |
| Answer» Solution :We know `gamma _(g) = gamma _(s) + gamma_("essel")If gamma _(s)gtgamma _(R ) gt gamma _(s)`the COEFFICIENT of volume EXPANSION of the VESSEL MUST be negative. I.e., the material of the vessel contracts on heating. | |
| 50. |
A tangentialforce of 2100 N is appliedon a surfaceof area 3xx10^(-6)m^(2) which is0.1 m from a fixed face. The force producesa shift of 7 mm of upper surface with respectto bottom. Calculatethe modulusof rigidity of the material. |
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Answer» Solution :`F=2100N, A=3XX10^(-6) m^(2)`, `L=0.1m, DELTAX=7xx10^(-3)m`. `G=(FL)/( A Deltax)=(2100xx0.1)/(3xx10^(-6)xx7xx10^(-3))=1xx10^(10)NM^(-2)` |
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