40048 + Interview Questions in Physics in Class 11 Page 800 InterviewSolution

39951.	A heavy iron rod of weight 'W' is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle 'theta' with the horizontal. What is the weight experienced by the man ?
Answer» W `sintheta` W`costheta` W `(W)/(2)` SOLUTION :The WEIGHT acts at the MIDDLE of the bar.So the weight EXPERIENCED by the man is `W/2`

Discussion

39952.	The acceleration due to gravity at the poles is 10ms^(-2) and equitorial radius is 6400km for the earth. Then the angular velocity of rotation of the earth about its axis so that the weight of a body at the equator reduces to 75% is
Answer» `1/1600 "RADS"^(-1)` `1/800"rads"^(-1)` `1/400"rads"^(-1)` `1/200"rads"^(-1)` ANSWER :A

Discussion

39953.	The situations are shown in fig(a) & (b), in each case, m_(1)=3kg and m_(2)=4kg. If a_(1), a_(2) are the respective accelerations of the blocks in these situations, then the values of a_(1) and a_(2) are respectively [g=10 ms^(-2)]
Answer» `(10)/(7)MS^(-2), (25)/(7)ms^(-2)` `(30)/(7)ms^(-2), (5)/(7)ms^(-2)` `(40)/(7)ms^(-2), (10)/(7)ms^(-2)` `(20)/(7)ms^(-2),(10)/(7)ms^(-2)` Answer :C

Discussion

39954.	If a cylinder of diameter 1.0cm at 30°c is to be slide into a hole of diameter 0.9997 cm in a steel plate at the same temperature, then minimum required rise in the temperature of the plate is [coefficient of linear expansion of steel = 12 xx 10^(-6) //^(@) C ]
Answer» `25^(@) C` `35^(@) C` `45^(@) C` `55^(@) C` ANSWER :A

Discussion

39955.	What will be the difference in temperatures between two sides of a metallic plate 10 mm thick if heat is conducted at the rate of 5 xx 10^5cal/min/m^2 . K for metal is 0.7 cal s^(-1)cm^(-1) ""^@C^(-1) .
Answer» SOLUTION :`Delta x = 10 MM = 1 cm` `K = 0.7 CAL s^(-1) cm^(-1) K^(-1)` ` Q = 5 xx 10^5 cal , A = 1m^2 = 10^4cm^2` t = 1 min = 60 s ` Q = (KA(T_1 - T_2)t)/(Delta x)` ` rArr T_1 - T_2 = (Q Delta x)/(KA t) = (5 xx 10^5 xx 1)/(0.7 xx 10^4 xx 60)` ` T_1 - T_2 = 1.19^@C`

Discussion

39956.	Consider the motion of the tip of the minute hand of a clock . In one hour (i) the displacement is zero (ii) the distance covered is zero (iii) the average speed is zero (iv) the average velocity is zero
Answer» (i), (ii) are CORRECT (i), (ii) ,(III) are correct (i),(iii) are correct (i),(IV) are correct Solution :Displacement =` x_f - x_i =0` velocity `=("displacement")/("time") = 0`

Discussion

39957.	A uniform cylinder of height h and radius r is placed with its circular face on a rough inclined plane and the inclination of the plane to the horizontal gradually in creased. If mu is the coefficeint of friction, then under what conditions the cylinder will a) slide before topping b) topple before sliding
Answer» Solution : (a) The Cylinder will slide if `Mgsintheta gt mu Mgcosthetaimpliestantheta gt mu`……….`(1)` The cylinder will TOPPLE if `(Mgsintheta)(h)/(2) gt (Mg costheta)rimpliestantheta gt (2r)/(h)`…………`(2)` THUS, the condition of sliding is `tantheta gt mu` and condition of toppling `tantheta gt (2r)/(h)`. Hence, the cylinder will slide before toppling if `mu LT (2r)/(h)` (b) The cylinder will topple before sliding if `my gt (2r)/(h)`

Discussion

39958.	Three equal masses .m. are placed at the three vertices of an equilateral triangle of side a. Find the gravitational force exerted by this system on another particle of mass ‘m. placed a) at the mid point of a side and (b) at the centroid of the triangle.
Answer» SOLUTION :`a) 4Gm^2 // 3a^2 , B) 0`

Discussion

39959.	A piece of brass (Cu and Zn) weighs 12.9 g in air. When completely immersed in water, it weights 11.3 g. The relative densities of Cu and Zn are 8.9 and 7.1 respectivey. Calculate the mass of copper in the alloy
Answer» 6.6 gm 7.6 gm 8.6 gm 5.6 gm Answer :B

Discussion

39960.	When a solid sphere is undergoing pure rolling, the ratio of translational kinetic energy to rotational kinetic energy is
Answer» `2:5` `5:2` `1:5` `5:1` ANSWER :B

Discussion

39961.	Give the vector form of the relation between v and omega.
Answer» SOLUTION :The vector RELATION between linear velocity and ANGULAR velocity `omega` is `barv=vecrxxbaromega`

Discussion

39962.	The resultant of two forces, one double the other in magnitude is perpendicular to the smaller of the two forces. The angle between the two forces is
Answer» `150^(@)` `90^(@)` `60^(@)` `120^(@)` ANSWER :D

Discussion

39963.	Two satellites S_(1) and S_(2) are revolving around a planet P in circular orbits of radii 4R and 9R respectively. If the speed of satellite S_(1) is 2V, then calculate the speed of satellite S_(2).
Answer» Solution :As we know orbital speed `V_(0) = SQRT((GM)/(R ))` For `S_(1), ""2V = sqrt((GM)/(4R))` …(i) For `S_(2), ""V. = sqrt((GM)/(9R))` …(ii) Dividing (i) by (ii) we get `(V.)/(2V) = sqrt((GM)/(9R)).sqrt((4R)/(GM))` `v. = 2V.2//3 = 4V//3`

Discussion

39964.	A particle executes SHM represented by the equation , y= 0.02sin(3.14t+ (pi)/(2)) meter. Find frequency
Answer» SOLUTION :COMPARING EQUATION `y= 0.02sin(3.14t+ (pi)/(2))`with the general from of the equation , `y= A sin(omegat+phi_(0))` Frequency `v= (1)/(T)= (1)/(2)Hz= 0.5 Hz`

Discussion

39965.	In the previous problem, If 15.0 cm of water and spirit each are further poured into the respective arms of the tube, what is the difference in the levels of mercury in the two arms?
Answer» Solution :MERCURY will RISE in the arm containing spirit, the difference in LEVELS of mercury will be 0.221 CM.

Discussion

39966.	An object of mass 0.20kg executes simple harmonic oscillations along X-axis with a frequency of (25//pi) Hz. At the position x=0,04 the object has kinetic energy of 0.5J and potential energy 0.4J. The amplitude of oscillations is:
Answer» 0.06 m 0.08 m 0.10 m 0.12 m ANSWER :A

Discussion

39967.	(A) : For a satellite revolving very near to earth's surface the time period of revolution is given by 1 hour 24 minutes. (R) : The period of revolution of satellite depends upon its height above the earth's surface.
Answer» Both (A) and (R) are TRUE and (R) is the correct EXPLANATION of (A) Both (A) and (R) are true and (R) is not the correct explanation of (A) (A) is true but (R) is false Both (A) and (R) are false Answer :B

Discussion

39968.	A mass of 2kg is suspendedfrom a fixed point by a wire of length 3m and diameter 0.5 mm. Initially the wire is just unstretched, the mass resting on a fixed support. By hoH' much must the temperature fall if the mass is to be entirely supported by the wire? Given that Y of the wire = 206 G Pa, alpha = 11 xx 10^(-6)//^(0) C .
Answer» Solution :When the temperature DECREASES the wire contracts in length and LIFTS the mass up. But the weight begins to produce a stress and counteracts the contraction PRODUCED. Hence the contraction due to cooling is equal to the stretching produced by the weight W. `therefore DELTA L = (WL)/(AY) = (2 xx 9.8 xx 3)/(pi (0.25)^(2) xx 10^(-6) xx 206 xx 10^(9))` Now the contraction due to cooling ` = L alpha d theta = 3 xx 11 xx 10^(-6) xx d theta` Since the contraction due to cooling = extension produced by the weight. On solving `d theta = 44^(@)`C

Discussion

39969.	Let I_(A) and I_(B) be moments of inertia of a body about two axes A and B respectively. The axis A passes through the centre of mass of the body but B does not.
Answer» `I_(A)LT I_(B)` If `I_(A)lt I_(B)` the AXES are PARALLEL If the axes are parallel, `I_(A)lt I_(B)` If the axes are not parallel `I_(A)gt I_(B)` ANSWER :C

Discussion

39970.	can a physical quantity having both magnitude and direction be a vector?
Answer» Solution :No, it is not necessary that a physical quantity having both MAGNITUDE and direction is a vector . For example, CURRENT FLOWING in a conductor is having both magnitudeand direction but is a scalar quantity because the laws of vector ADDITION but is a scalar quantity because the laws of vecrtor addition are not applicable to ELECTRIC current .

Discussion

39971.	Consider a compound slab consisting of two different materials having equal thicknesses and thermal conductivities K and 2K respectively. The equivalent thermal conductivity of the slab is. . . . . .. .
Answer» `sqrt(2K)` 3K `4/3K` `2/3K` Solution :For ANSWER see SECTION - E Q. no. 5

Discussion

39972.	When temperature of a body made of brass increases its moment of inertia.
Answer» increases decreases remains same becomes zero Answer :A

Discussion

39973.	Two wires of same material have masses in the ratio 3:4 the ratio of their extensions under the same load if their lengths are in the ratio 9:10 is
Answer» `5:3` `27:40` `6:5` `27:25` ANSWER :4

Discussion

39974.	The earth revolves round the sun in an elliptical orbit, its speed is
Answer» GOING on DECREASING continuousely greatest when is CLOSEST to the sun Greatest when it is farthest from the sun constant at all the POINTS on the orbit Answer :B

Discussion

39975.	State newton three laws and discus theirsignificance
Answer» SOLUTION :Newton'sfirstlaw : Everyobjectcontinuestobe in the stateof restor ofuniformmotionunless thereis externalforceactingon it. Newton'ssecondlaw : Theforceactingon an object is equalto the rateof changeof itsmomenturm. `vec(F ) = (vec(dp))/(DT )` newton'sthirdlaw :Newton'sthirdlasw statesthat foreveryactionthere isan equaland oppositereaction . Singificanceof Newton'slaswof MOTION (i)Newton'slawsare vectorlaws: (ii)Theaccelerationexperieneed bythe bodyat time1 dependson theforcewhichactson thebodyat thatinstant oftime (III)In generalthe DIRECTION of a forcemaybe differentfrom the directionof motion (iv) The totalforce `(vec(F )_(max))` is equivalentto thevectorialsum of the individualforces . (v)If noforceactson thebodythenNewton'ssecond`m(d vec(v ))/(dt )=0` (vi) Newton'ssecondlaw has causeadn effectrelation.Force is tehcauseadn accelerationis teheffect.

Discussion

39976.	If f=x^(2) then what will be relative error in measurement of f ?
Answer» SOLUTION :`(DELTAF)/(f)=2(DELTAX)/(X)`

Discussion

39977.	A ball of mass 0.4 kg moving with a uniform speed of 2ms^(-1) strikes normally a wall and rebounds. Assuming the collision to be elastic and the time of contact of the ball with the wall as 0.4s, find the force exerted on the ball.
Answer» 1N 2N 3N 4N Answer :D

Discussion

39978.	A body on the surface of the earth at latitude 60° will be under weight lessness state if the angular velocity of rotation of the earth becomes
Answer» `sqrt((GM)/R^(3))` `sqrt((2GM)/R^(3))` `sqrt((GM)/(2R^(3))` `sqrt((4GM)/R^(3))` Answer :D

Discussion

39979.	What change of surface energy will be noticed when a drop of radius R splits into 1000 droplets radius r, surface tension being T
Answer» `4piR^2T` `7piR^2T` `16piR^2T` 36piR^2T` ANSWER :D

Discussion

39980.	Find the time at which ratio of kinetic energy to potential energy of a particle is 3. The particle starts SHM from its equilibrium position. T is the time period of oscillation:
Answer» `T//6` `T//12` `T//8` `T//24` ANSWER :B

Discussion

39981.	A uniform cube is subjected to volume compression. If each side is decreased by 1%, then bulk strain is:
Answer» 0.01 0.02 0.06 0.03 Solution :If side of the cube is L then, `V=L^(3)` `RARR""(dV)/(V)=3(dL)/(L)` `THEREFORE%"CHANGE in volume"=3xx(%"change in length")` `=3xx1%=3%` `therefore"Bulk strain"(DeltaV)/(V)=0.03`

Discussion

39982.	Vectors which act along the same line whose angle between them can be 0^(@) or 180^(@) are called ___________.
Answer» ORTHOGONAL vectors Collinear vectors Unit vectors Resultant vectors Answer :B

Discussion

39983.	Galileo , inhis book Two new sciences , stated that for elevations which exceed or fall short of 45^(@) by equal amounts , the ranges are equal . Prove this statement.
Answer» Solution :For a projectilelaunched with velocity `v_(@)` at an angle `theta_(@)` , therange is given by `R=(v_(0)^(2)sin2theta_(0))/(g)` Now , for angles , `(45^(@)+alpha)and(45^(@)-alpha),2theta_(0)` is`(90^(@)+2alpha)and(90^(@)-2alpha)`, respectively . The valuesof `sin(90^(@)+2alpha)andsin(90^(@)-2alpha)` are the same , EQUAL to that of `cos2alpha`. THEREFORE , RANGES are equal for elevations which exceed of fall short of `45^(@)` by equal amounts `alpha`.

Discussion

39984.	A ball is projected from a cliff of height h = 19.2 m at an angle a to the horizontal. It hits an incline passing through the foot of the cliff, inclined at an angle theta to the horizontal. Time of flight of the ball is T = 2.4 s. Foot of the cliff is the origin of the co-ordinate system, horizontal is x direction and vertical is y direction (see figure). Plot of y co-ordinate vs time and y component of velocity of the ball (v_(y)) vs its x co-ordinate (x) is as shown.x and y are in m and time is in s in the graph. [g = 10 m//s^(2)] (a) Find the angle of projection a (b) Find the inclination (theta) of the incline. (c) If the ball is projected with same speed but at an angle theta (= inclination of incline) to the horizontal, will it hit the incline above or below the point where it struck the incline earlier?
Answer» Answer :(a) `ALPHA = TAN^(-) ((3)/(4))` (b) `theta = tan^(-) (1)/(2)` (c) The ball will HIT at a point lower than the earlier SPOT.

Discussion

39985.	A uniform cylinder of diameter 8 cm is kept on a rough inclined plane whose angle of inclination with the ground is 30^(@). What should be the maximum height of the cylinder so that it does not topple?
Answer» Solution :The CYLINDER ABCD is kept on the plane of inclination `30^(@)`. Suppose the cylinder is on the verge of toppling over when its HEIGHT is 2 h. At this stage the line of action of gravity MUST pass vertically through the end point A at the base of the cylinder.From Fig tan`30^(@) =(AE)/(EG)` or, `(1)/(sqrt(3))=(r)/(h) " ""or", h = sqrt(3)r = 4sqrt(3) `cm Hence, maximum permissible height = 2h = `2xx4 sqrt(3)` =`8sqrt(3)` cm.

Discussion

39986.	A cylinder containe 20 kg of N_(2) gas (M= 28 kg K^(-1) mol^(-1)) at a [ressire pf 5 atm. The mass of hydrogen (M = 28 kg K^(-1) mol^(-1)) at a pressure of 3 atm contained in the same cylinder at same temperature is
Answer» <P>1.08 kg 0.86 kg 0.68 kg 1.68 kg Solution : `V/T=(nR)/p` V and T for both CASES in same. Hence `(n_(1))/(p_(1))=(n_(2))/(p_(2))or (m_(1))/(p_(1)M_(1))=(m_(2))/(p_(2)M_(2))` or `""m_(2)(p_(2)M_(2))/(p_(1)M_(1)).m_(1)=((3)(2))/((5)(28)).20=0.86kg`

Discussion

39987.	A mass of 2 kg oscillates on a spring with constant 50 N/m. By what factor does the frequency of oscillation decrease when a damping force with cosntant b=12 is introduced?
Answer» SOLUTION :`W=SQRT(50/2)=5r//s` `w=sqrt(w^(2)-(b/(2m))^(2))=sqrt(5^(2)-3^(2))=4` fr REDUCES by 1r/s or 20%

Discussion

39988.	When a satellite is orbitting round a planet in circular orbit, workdone by the gravitational force acting on the satellite is
Answer» ZERO on COMPLETING ONE REVOLUTION only zero always infinite negative Answer :B

Discussion

39989.	Work done to increase the temperature of one mole of an odeal gas by 30^@C, if it is expanding under the condition V prop T^(2//3) is , ( R = 8.314 J// mol//K)
Answer» 16.62 J 166.2 J 1662 J 1.662 J Answer :B

Discussion

39990.	A man is sitting in a boat, which is floating in a pond. If the man drink some water from the pond, will the level of water in the pond decrease ?
Answer» SOLUTION :No. When he drinks water, say w kg, he displaces w kg of water and hence the LEVEL TENDS to increase But ALREADY the w kg has gone inside his STOMACH. So the level remains constant

Discussion

39991.	When a constant torque is applied on a rigid body, then
Answer» The body moves with LINCAR acceleration The body rotates with constant ANGULAR velocity The body rotates with constant angular accelaration The body undergoes EQUAL angular displace ment in equal intervals of time Answer :C

Discussion

39992.	A particle undergoes uniform circular motion. The angular momentum of the particle remain conserved about:
Answer» the centre point of the circle the point on the circumference of the circle any point inside the circle any point OUTSIDE the cicle Solution :`VECL=vecrxxvecP` `vecL=vecrxxmvecv` `vecL=` Constant when `VECR` and `VECV=` Constant

Discussion

39993.	Can we predict the direction of motion of a body from the direction of force on it
Answer» Solution :Yes. The direction of motion is always opposite to the FORCE of KINETIC friction. By USING the principle of equilibrium, the direction of force of static friction can be DETERMINED. When the object is in equilibrium, the frictional force must point in the direction which RESULTS as a net force is zero.

Discussion

39994.	A particle has an initial velocity 3 hati+4hatj and an acceleration of 0.4 hati + 0.3 hatj. Its speed after 10s is
Answer» 10 UNITS `7sqrt2` units 7 units 8.5 units Answer :B

Discussion

39995.	why are strings of different thicknesses and materials used in a sitar or a violin ?
Answer» SOLUTION :Fundamental frequency of streched string `v= 1/2L sqrt T/m`. when we use string of DEFFERENT thiknesses and materials, they have different values of MASS as PER unit length (m). So the strings will PRODUCED notes of different frequencies.

Discussion

39996.	A particle is projected making an angle of 45^@ with the horizontal having kinetic energy K.The kinetic energy at the highest point will be
Answer» `K/sqrt2` `K/2` 2K K Answer :B

Discussion

39997.	The accuracy n. measurement depends on the limit or the resolution of the measuring instrument. State whether the above statement is TRUE or FALSE.
Answer» ANSWER :TURE

Discussion

39998.	Why are stationary waves called so ?
Answer» Solution :In a STATIONARY wave, the PARTICLES of the medium vibrate about their MEAN POSITIONS, but distrbances do MOT treval in any direction.

Discussion

39999.	If S_(P) and S_(V) denote the specific heats of nitrogen gas per unit mass at constant pressure and constant volume respectively, then
Answer» `s_p-s_V=28R` `s_p - s_V = R//28` `s_p-s_v=R//14` `s_p-s_v=R` SOLUTION :`C_p-C_v = R` For diatomic gas `N_2` no. of DEGREES of FREEDOM = 5 `S_P - S_V=R/28`

Discussion

40000.	A body weighs 64 N on the surface of the Earth. What is the gravitational force on it (in N) due to the Earth at a height equal to one-third of the radius of the Earth?
Answer» Solution :LINEAR velocity v=72 km/h = `(72 xx 1000)/(60 xx 60) = 20` m/s Initial angular velocity of the wheel `=omega_(0) = v/r = 20/(0.25) = 80` rad/s Final angular velocity =`omega =0` Time =t= 16S Angular ACCELERATION = `alpha` = ? `alpha = (omega-omega_(0))/t = (0-80)/16 = -5 "rad"//s^(2)` Average torque `=tau = lalpha = 5 xx 5 = 25` Nm

Discussion

Explore topic-wise InterviewSolutions in .

A heavy iron rod of weight 'W' is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle 'theta' with the horizontal. What is the weight experienced by the man ?

The acceleration due to gravity at the poles is 10ms^(-2) and equitorial radius is 6400km for the earth. Then the angular velocity of rotation of the earth about its axis so that the weight of a body at the equator reduces to 75% is

The situations are shown in fig(a) & (b), in each case, m_(1)=3kg and m_(2)=4kg. If a_(1), a_(2) are the respective accelerations of the blocks in these situations, then the values of a_(1) and a_(2) are respectively [g=10 ms^(-2)]

If a cylinder of diameter 1.0cm at 30°c is to be slide into a hole of diameter 0.9997 cm in a steel plate at the same temperature, then minimum required rise in the temperature of the plate is [coefficient of linear expansion of steel = 12 xx 10^(-6) //^(@) C ]

What will be the difference in temperatures between two sides of a metallic plate 10 mm thick if heat is conducted at the rate of 5 xx 10^5cal/min/m^2 . K for metal is 0.7 cal s^(-1)cm^(-1) ""^@C^(-1) .

Consider the motion of the tip of the minute hand of a clock . In one hour (i) the displacement is zero (ii) the distance covered is zero (iii) the average speed is zero (iv) the average velocity is zero

Three equal masses .m. are placed at the three vertices of an equilateral triangle of side a. Find the gravitational force exerted by this system on another particle of mass ‘m. placed a) at the mid point of a side and (b) at the centroid of the triangle.

A piece of brass (Cu and Zn) weighs 12.9 g in air. When completely immersed in water, it weights 11.3 g. The relative densities of Cu and Zn are 8.9 and 7.1 respectivey. Calculate the mass of copper in the alloy

When a solid sphere is undergoing pure rolling, the ratio of translational kinetic energy to rotational kinetic energy is

Give the vector form of the relation between v and omega.

The resultant of two forces, one double the other in magnitude is perpendicular to the smaller of the two forces. The angle between the two forces is

Two satellites S_(1) and S_(2) are revolving around a planet P in circular orbits of radii 4R and 9R respectively. If the speed of satellite S_(1) is 2V, then calculate the speed of satellite S_(2).

A particle executes SHM represented by the equation , y= 0.02sin(3.14t+ (pi)/(2)) meter. Find frequency

In the previous problem, If 15.0 cm of water and spirit each are further poured into the respective arms of the tube, what is the difference in the levels of mercury in the two arms?

An object of mass 0.20kg executes simple harmonic oscillations along X-axis with a frequency of (25//pi) Hz. At the position x=0,04 the object has kinetic energy of 0.5J and potential energy 0.4J. The amplitude of oscillations is:

(A) : For a satellite revolving very near to earth's surface the time period of revolution is given by 1 hour 24 minutes. (R) : The period of revolution of satellite depends upon its height above the earth's surface.

Let I_(A) and I_(B) be moments of inertia of a body about two axes A and B respectively. The axis A passes through the centre of mass of the body but B does not.

can a physical quantity having both magnitude and direction be a vector?

Consider a compound slab consisting of two different materials having equal thicknesses and thermal conductivities K and 2K respectively. The equivalent thermal conductivity of the slab is. . . . . .. .

When temperature of a body made of brass increases its moment of inertia.

Two wires of same material have masses in the ratio 3:4 the ratio of their extensions under the same load if their lengths are in the ratio 9:10 is

The earth revolves round the sun in an elliptical orbit, its speed is

State newton three laws and discus theirsignificance

If f=x^(2) then what will be relative error in measurement of f ?

A ball of mass 0.4 kg moving with a uniform speed of 2ms^(-1) strikes normally a wall and rebounds. Assuming the collision to be elastic and the time of contact of the ball with the wall as 0.4s, find the force exerted on the ball.

A body on the surface of the earth at latitude 60° will be under weight lessness state if the angular velocity of rotation of the earth becomes

What change of surface energy will be noticed when a drop of radius R splits into 1000 droplets radius r, surface tension being T

Find the time at which ratio of kinetic energy to potential energy of a particle is 3. The particle starts SHM from its equilibrium position. T is the time period of oscillation:

A uniform cube is subjected to volume compression. If each side is decreased by 1%, then bulk strain is:

Vectors which act along the same line whose angle between them can be 0^(@) or 180^(@) are called ___________.

Galileo , inhis book Two new sciences , stated that for elevations which exceed or fall short of 45^(@) by equal amounts , the ranges are equal . Prove this statement.

A uniform cylinder of diameter 8 cm is kept on a rough inclined plane whose angle of inclination with the ground is 30^(@). What should be the maximum height of the cylinder so that it does not topple?

A cylinder containe 20 kg of N_(2) gas (M= 28 kg K^(-1) mol^(-1)) at a [ressire pf 5 atm. The mass of hydrogen (M = 28 kg K^(-1) mol^(-1)) at a pressure of 3 atm contained in the same cylinder at same temperature is

A mass of 2 kg oscillates on a spring with constant 50 N/m. By what factor does the frequency of oscillation decrease when a damping force with cosntant b=12 is introduced?

When a satellite is orbitting round a planet in circular orbit, workdone by the gravitational force acting on the satellite is

Work done to increase the temperature of one mole of an odeal gas by 30^@C, if it is expanding under the condition V prop T^(2//3) is , ( R = 8.314 J// mol//K)

A man is sitting in a boat, which is floating in a pond. If the man drink some water from the pond, will the level of water in the pond decrease ?

When a constant torque is applied on a rigid body, then

A particle undergoes uniform circular motion. The angular momentum of the particle remain conserved about:

Can we predict the direction of motion of a body from the direction of force on it

A particle has an initial velocity 3 hati+4hatj and an acceleration of 0.4 hati + 0.3 hatj. Its speed after 10s is

why are strings of different thicknesses and materials used in a sitar or a violin ?

A particle is projected making an angle of 45^@ with the horizontal having kinetic energy K.The kinetic energy at the highest point will be

The accuracy n. measurement depends on the limit or the resolution of the measuring instrument. State whether the above statement is TRUE or FALSE.

Why are stationary waves called so ?

If S_(P) and S_(V) denote the specific heats of nitrogen gas per unit mass at constant pressure and constant volume respectively, then

A body weighs 64 N on the surface of the Earth. What is the gravitational force on it (in N) due to the Earth at a height equal to one-third of the radius of the Earth?