Write the dimensional formula of:-1. Internal energy2. Boltzman constant(kB)3. Universal gas constan

Write the dimensional formula of:-1. Temprature2. Coefficient of thermal expansion (α,β,γ)3. Thermal

Write the dimensional formula of 1) relative density 2)thrust 3)pressure 4)buoyant force 5)rate of v

Write the dimension of these quantities1. Deforming force or restoring force2. Stress3. Strain4. Mod

Write the dimension of these quantities1. Gravitational force2. Gravitational constant (G)3. Gravita

Write the dimension of these quantities1. Moment of inertia2. λ (Linear mass density)3. σ (Areal mas

Write the dimension of these quantities1. Moment of mass2. Momentum3. Kinetic energy4. e(coefficient

Write the dimension of these quantities 1. Work done 2. Energy 3. Power

Write the dimension of these quantities1. Arc length2. Angular displacement3. Angular speed4. Angula

Write the dimension of these quantities1. Inertia2. Force3. Momentum4. Impulse5. friction6. Coeffici

Write the dimension of these quantities 1.Distance 2.displacement 3.speed and average speed 4.veloci

Write the dimension of these quantities1. Astronomical unit2. Light year3. Parsec4. amu5. Absolute e

Write the dimension of fundamental quantities1. Length2. Mass3.Time4. Temperature5. Electric current

Calculate the angle of(i) 1°(degree)(ii) 1' (minute of arc or arc minute) and(iii)1" (second of arc

How many microseconds are there in 10 minutes?

How many microns are there in 1 light year?

The wavelength of light is of the order 6400A°. Express this in micron and metre.

What will be the value of 1N in CGS system

The value of gravitational constant G in MKS system is 6.67×10-¹¹Nm²kg-². what will be it's value in

The acceleration due to gravity is 9.8m/s² give its value in ft/s²

find the area of the region bounded by y= √x and y= x.

for the curve x²/4 + y²/9 = 1, evaluate the area of the region under the curve and above the x-axis

find the area of the region included between the parabola y = 3x² /4 and the line 3x - 2y + 12 = 0

find the area of region bounded by the curve y = x ^ 3, y = x + 6 and x=0

find the area of the region bounded by the line y = 3x+2 the x-axis and the ordinates x=-1 and x = 1

find the area of the region bounded by curve y ^ 2 = 4x and the line x = 4

find the area of the region in the first quadrant enclosed by the x axis, the line y=x and the circl

A particle is moving in straight line such that it's velocity varies as V= Voe^(-λt), where λ is a c

A particle is moving in straight line under acceleration a= Kt, where k is a constant. find the vel

Evaluate (1)int.dx/(x²+4x+1) (2)int.(4x³+3x²+2x+1).dx

Evaluate(1)∫(4x+1/x+1).dx (2)∫(Sinx-Cosx).dx

Evaluate the following(1)int (2x ^ 2 + 4x + 1) ^ 2 .dx (2) int (1 / (x ^ 2) + 2) .dx (3) Cos(x+2).dx

Evaluate(1) int (sinx+1/x + 2/x²+3x²).dx (2) int (3cos x +eˣ+ 4x²+ x + 5) .dx

The velocity of a particle is given by V=Vosin(ωt),where Vo is constant and ω = 2π/T find the averag

A particle is moving under acceleration a= 3t+4t², if the position and velocity of the particle at s

Evaluate the following integrals(i )int e⁽ˣ⁺⁴⁾ .dx (ii)int cos(2x² + x) .dx (iii)int dx/ (3x + 4)(v)

Evaluate the following integrals 1)∫(4x³+2x²+2x+1).dx 2)∫(sinx+cosx).dx 3)∫dx/x

Evaluate the following integrals(i)int.(2x+1)^3dx(ii) int.{1/(a-x)}.dx(iii) int(x^2+3x+4)^4dx(iv)int

Evaluate the following integrals(i) (eˣ + 1 / x + 2x²+ 3) dx (ii) (cos x + 3x½+ 3 / x + 4 / (x²)) dx

If the time and displacement of particle along the positive x-axis are related as t =(x²-1)^1/2 than

A particle is moving with velocity V= t³-6t²+4. where v is in m/s and t is in seconds. At what time

Differentiate the following function(i) y = tan(x²+3x+1)(ii) y= 3 Cosx + 7e^x+ log (x²+1)

Differentiate the following function(i) y = 3x ^ 4 + 2(1 / (x ^ 2)) + log(x)(ii) y = (x ^ 2 + 1)(x +

The position of a particle moving along the x-axis with time t as x = 6t - t² + 4,find the time inte

The displacement of particle as a function of t given by S=α+ẞt+γt²+δt⁴ Where α,β,γ and δ are const.

Divide a number 1000 in two parts, such that there product is maximum

Differentiate sin(x²+5) with respect to x

Differentiate the following functions y=sinx+eˣ y=3x²+logx+4eˣ+5 y=eˣ.tanx

Differentiate the following functions (i)x⁻³ (ii)6x⁵+4x³-3x²+2x-7 (iii)(x+2)(x²+1) (iv)(x³+4)/(x+1)

Find the values of (i) sec165°(ii) cot 105°

Find the values of following T-ratios(i) cosec(315°)(ii) Cos(210°)(iii)Sin(-330°)

Find sin theta and tan theta ,if cos theta is -12/13 and theta lies in third quadrant.

Find the degree measures corresponding to the following radian measures 18π/5 , -3 , -5π/6 , 9π/5

find the radian measures corresponding to the given degree measures 25°,-47°30',39°22'30"

Find the value of (i)sin 15 °(ii)tan 75°

FIND THE VALUE OF SIN(- 45°) TAN 225 °COS 300 ° SEC(120 °)

If sin( theth)= 4/5, where thetha lies in the first quadrant, then find all the other T-ratios.

Find the degree measures corresponding to the following radian measures.((2π)/15) , (π/8) ,(- 2)

FIND THE RADIAN MEASURES CORRESPONDING TO THE FOLLOWING DEGREE MEASURES 75°,-37°30', 5°37'30"