if force (F),velocity (V) and time(T) are taken as fundamental units,then the dimension of mass will be???

consider a simple pendulum having a bob attached to a string that oscilate unjder the action of force of gravity suppose that the period of oscilation of the simple pendulum depends on (i) mass of the bob (ii)length l of the pendulum (iii) accelaration due to gravity (g).. derive the expression for time period using the method of dimension

The number of particles crossing per unit area perpendicular to x axis in unit time N is given by

N= - D(n₂-n₁/x₂-x₁) where n₁ and n₂ are the number of particles per unit volume at x1 and x2 respectively. Deduce the dimensional formula for D.

Q. If the unit of Force is 1 kilo newton, the length is 1 km, and time is 100 second what will be the unit of mass?

Assuming that the volume of a liquid flowing per second(V) through a cylindrical tube depends on (i) the pressure gradient(p/l) (ii) the radius of the tube and (iii) the coefficient of viscosity of liquid . find by the method of dimensions, how it depends on these quantities.

 what is parallax method?

How to calculate relative error in the equivalent resistance when resistors are connected in parallel?

If the percentage error in the measurement of momentum and mass of an object are 2% and 3% respectively, then maximum percentage error in the calculated value of its kinetic energy is?

find the dimension of a,b,c and d:-

x=a+bt+ct2+dt3

where x is distance and t is time.

a wire has mass of (0.3 +- 0.003) g , a radius of (0.5 +- 0.005)mm and length (6 +- 0.06)cm. Find the percentage error in the measurment of its density.

what is compressibility and its dimensional formula?

at what angle two forces 2F and rootF should act,so that the resultant force is F root 10

a planet moves around the sun in nearly circular orbit. its period of revolution T depends on (i)radius r of the orbit (ii)mass M of the sun (iii) gravitatioonal constant G.. prove that dimensionally T^2∝r^3

DERIVE AN EXPRESSION FOR RELATIVE VELOCITY

For the resistors R1 and R2 connected in parallel, find the relative error in their equivalent resistance, if R1= (50±2) ohms and R2=(100±3)ohms?

Pls explain showing all the steps.

calculate the dimensions of force and impulse taking velocity density and frequency as basic quantities

A body is thrown vertically upwards.If it travels equal distance in 4th and 7th seconds of motion,then find the maximum height attained by the body is

A mosquito net over a 7ft * 4ft bed is 3ft high. The net has a hole at one corner of the bed through which a mosquito enters the net. It flies and sits at the diagonally opposite upper corner of the net. (a) Find the magnitude of the displacement of the mosquito. (b) Taking the hole as the origin, the length of the bed as the X-axis, its width as the Y-axis, and vertically up as the Z-axis, write the components of the displacement vector.

Q) The position x of a particle at time t is given by x= vo/a (1-e-at) where vo is a constant and ao . The dimensional formula of vo and a are?

If units of force and length are doubled, how the unit of energy will become four times the initial value?

for the above question the answer given was

Let original energy be =E1=f.s

Then, new energy=E2=4f.4s=16f.s=16E1

Hence, energy is increased by 16 times.

so

units of force and length are doubled, will the unit of energy will become sixteen times the initial value?

Energy density and pressure have the same dimensions. Comment reply for 3 marks.

how many ergs are there in 1KWh? explain plz

Convert the value of G = 6.66X 10^-11 Nm² kg^-2 into CGS unit.

If the buoyant force F acting on an object depends on its volume V immersed in a liquid, the density of the liquid and acceleration due to gravity g. The correct expression for F can be

find the dimension of a*b in the equation E=b-x^2/at ... where E is energy , x-distance, t-time.

a particle suffers a displacement from r₁ (1,2,3) to r₂ (4,5,6) due to application of a force of magnitude F=20N.the forces acts along a vector A=4j+3k.if the quantity is defined as W=F delta R,find W.

If force (F) and density (d) are related as:

F= α/(β+√d)

Find the dimensions ofβ.

draw the speed time graph of the ball thrown vertically upwards(air resistance is not ignored)?

Can u kindly provide the definiton for radian and steradian?

why we use lycopodium powder in the oil drop experiment

find the displacement of the particle of its position vector changes from r1=2i+3j+5k to r2=4i+5j+2k.also find the the distance travelled by the particle along X,Y,andZ axes respectively.all distance are in metre.

Pressure is defined as momentum per unit volume. Is it true reply for 4marks

calculate the %error in determination of g=4pi² l/t² when l and t are measaured with +- 2% and +-3% errors respectively.

A force F is applied on a square area of side L. If the percentage error in the measurement of L is 2% and that in F is 4%, what is the maximum percentage error in pressure?

Q) An object is moving through the liquid. The viscous damping force acting on it is proportional to the velocity. Then the dimensional formula of constant of proportionality is?

if there is 50% positive error in the measurement of the speed of a body, then the error in the measurement of kinetic energy is????

10 drops of olive oil of radius 0.20mm spread into circular film of radius 14.6cm on the surface of water. Estimate size of oil molecule" plz help fast

The velocity ' v ' of water waves depend upon the wavelength (lambda) and density 'p' and acceleration due to gravity 'g'.Deduce by the method of dimensions the relationship between these quantities.

please explain the question as well as answer as soon as anyone can! please!

Which quantity in a given formula should be measured most accurately?

the maximum and minimum magnitudes of the resultant of two forces are 61N and 4N.calculate the magnitude of individual forces.

if insteed of choosing mass , length, time as fundamental quantities we chose velocity(V), acceleration(A),and forse(F) as fundamental quantities. how would you express

1. linear momentum
2. angular momentum
3. and young's modulus

in terms of V,A,F

The distance of the moon from the earth is about 60 times the radius of the earth. What will be diameter of the earth(approximately in degrees) as seen from the moon ?

The separation between a point source of light and a screen is increased by 1.5 %.The percentage change in intensity is

1)increases by 3 %

2)decreases by 3 %

3)increases by 0.75 %

4)decreases by 0.75 %

If C is the restoring couple per unit radian twist and I is the moment of inertia, the dimensional representation of 2√ I/C will be :

a) M⁰L⁰T^-1

b)M⁰L⁰T¹

C) M⁰L¹T^-1

D) M¹L²T^-2