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If Y 4x 5 Is A Tangent To The Curve Y 2 Px 3 Q At 2 3 Then

1) p = 2, q = -7 2) p = - 2, q = 7 3) p = -2, q = -7 4) p = 2, q = 7 Solution: (1) p = 2, q = -7 y2 = px3 2y (dy / dx) = p... View Article

The Equation Of The Normal To The Curve Y 4 Ax 3 At A A Is

1) x + 2y = 3a 2) 3x - 4y + a = 0 3) 4x + 3y = 7a 4) 4x - 3y = 0 Solution: (3) 4x + 3y = 7a y4 = ax3 The equation of the... View Article

The Length Of The Subtangent At 2 2 To The Curve X 5 2y 4 Is

1) 5 / 2 2) 8 / 5 3) 2 / 5 4) 5 / 8 Solution: (2) 8 / 5 x5 = 2y4 At (2, 2), L = |y * (dy / dx)| 5x4 (dx) = 8y3 (dy) dx /dy =... View Article

If M And M Respectively Denote The Minimum And Maximum Of F X X 1 2 For X Belongs To 3 1

1) (-3, 9) 2) (3, 19) 3) (-19, 3) 4) (-19, -3) Solution: (2) (3, 19) f (x) = (x - 1)2 + 3 f’ (x) = 2 (x - 1) = 0 x ∈ [-3, 1]... View Article

If Theta Is Angle Between The Curves Xy 2 And X 2 4y 0 Then Tan Theta Is Equal To

1) 1 2) -1 3) 2 4) 3 Solution: (4) 3 xy = 2 y + xy’ = 0 y’ = -y / x = m1 Point of intersection xy = 2 x (-x2 / 4) = 2 x =... View Article

The Minimum Value Of E 2x 2 2x 1 Sin 2 X Is

1) 0 2) 1 3) 2 4) 3 Solution: (2) 1 y = e(2x^2 - 2x + 1)sin^(2)x For minima or maxima, dy/dx = 0 e(2x^2 - 2x + 1)sin^2x[(4x -... View Article

The Minimum Value Of X 2 1 1 X 2 Is At

1) x = 0 2) x = 1 3) x = 4 4) x = 3 Solution: (1) x = 0 y = x2 + (1 / 1 + x2) y’ = 2x - [2x / (1 + x2)2] = 0 = x - [x / (1 + x2)2]... View Article

Why Is Mass Lost In Nuclear Fusion

The fusion of two nuclei has more mass than either of the nuclei alone but less mass than the combination of both the nuclei before the fusion.... View Article

Do Sound Waves Have Mass

According to a new theoretical study, ordinary waves carry a small amount of mass with them as they travel. The new theory indicates that for... View Article

What Is The Definition Of Center Of Mass

Centre of the mass of a body or system of a particle is defined as, a point at which the whole of the mass of the body or all the masses of a... View Article

Does Mass Affect Velocity

Mass does not affect the velocity of falling objects. Only gravity and air resistance affect the velocity of falling objects.... View Article

How Do You Measure Effective Mass

One of the most effective ways to measure the effective mass is by studying the behaviour of the carriers in the presence of a magnetic field.... View Article

Does Natural Frequency Change With Mass

The natural frequency is solely determined by the mass. The spring constant decreases for a larger mass.... View Article

Does The Spring Constant Change With Mass

No, the mass of the spring does not affect the spring constant.... View Article

What Is Effective Mass Of The Spring

The effective mass of the spring in a spring-mass system while using an ideal spring of uniform linear density is ⅓ rd of the mass of the spring... View Article

What Is The Relationship Between Mass And Frequency

The mass and frequency in a vibrating system are inversely proportional to each other. When the mass is increased, the frequency decreases.... View Article

What Happens To Frequency When Mass Is Doubled

As the mass of the vibrating bodies increases, the frequency decreases.... View Article

How Can We Increase The Efficiency Of A Pulley System

The efficiency of the pulley can increase by reducing the friction in the bearings of pulleys using lubricants. The pulleys in the lower block... View Article

What Is An Ideal Pulley

An ideal pulley has no mass and no friction. The tension of an ideal cord that runs through an ideal pulley is the same on both the sides of the... View Article

Why Do You Feel Weightless At The Top Of A Loop

The feeling of weightlessness is associated with normal force and less to do with the force of gravity. At the top of the loop, the gravity force... View Article

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