List of practice Questions

What is the Kinematic Indeterminacy for the given frame without axial deformation?

Kinematic Indeterminacy
The error in discharge due to error in the measurement of head over a triangular notch is given by:

What is the degree of redundancy for the given beam?
What is the degree of redundancy for the given beam

The torque that produces a twist of one radian in a shaft of unit length is called
A simply supported beam of span \( L \) and constant width \( b \) carries a point load \( W \) at mid span. The depth of the beam required at the mid span to make the beam of uniform strength for maximum extreme fibre stress \( \sigma \) is

What is the degree of static indeterminacy for the given truss?
What is the degree of static indeterminacy for the given truss?

In ___\ bending, the direction of the neutral axis will not be perpendicular to the plane of bending.
A soil has a discharge velocity of \( 6 \times 10^{-7} \, \text{m/s} \) and a void ratio of 0.5. Its seepage velocity is
A steel cylinder of diameter 100 mm and a copper tube of an outer diameter 200 mm are compressed between the plates of a press. If the ratio of their moduli (steel to copper) is 15/8, what is the ratio of their stresses in steel (\( \sigma_s \)) and copper (\( \sigma_c \))?
In an element of a stressed body is under the state of pure shear of 60 N/mm\(^2\), the magnitude of maximum principal stress at that location is
The maximum shear stress in a Mohr’s stress circle is equal to
If the thin cylindrical shell having diameter \( D \) and subjected to internal pressure \( p \), the ratio of longitudinal pressure to hoop stress is equal to
A small-angled prism is made of a material of refractive index \( \frac{3}{2} \). The ratio of the angles of minimum deviations when the prism is placed in air and in water of refractive index \( \frac{4}{3} \) is:

When \( Q \) amount of heat is supplied to a monatomic gas, the work done by the gas is \( W \). When \( Q_1 \) amount of heat is supplied to a diatomic gas, the work done by the gas is \( 2W \). Then \( Q:Q_1 \) is: 

A boy standing on a platform observes the frequency of a train horn as it passes by. The change in the frequency noticed as the train approaches and recedes from him with a velocity of 108 km/h (speed of sound in air = 330 m/s) is:
The equation \( 16x^4 + 16x^3 - 4x - 1 = 0 \) has a multiple root. If \( \alpha, \beta, \gamma, \delta \) are the roots of this equation, then \( \frac{1}{\alpha^4} + \frac{1}{\beta^4} + \frac{1}{\gamma^4} + \frac{1}{\delta^4} = \)
Given below are two statements:
Statement I: Atoms are electrically neutral as they contain equal number of positive and negative charges.
Statement II: Atoms of each element are stable and emit their characteristic spectrum.
In the light of the above statements, choose the most appropriate answer from the options given below
A small telescope has an objective of focal length 140 cm and an eye piece of focal length 5.0 cm. The magnifying power of telescope for viewing a distant object is :
Match List I with List II:

List I

List II

AP waveIHeart muscles are electrically silent.
BQRS complexIIDepolarisation of ventricles.
CT waveIIIDepolarisation of atria.
DT-P gapIVRepolarisation of ventricles.
Choose the correct answer from the options given below:
If the locus of the centroid of the triangle with vertices \( A(a,0) \), \( B(\cos t, a\sin t) \) and \( C(\sin t, -b\cos t) \) (\( t \) is a parameter) is given by \[ 9x^2 + 9y^2 - 6x = 49, \] then the area of the triangle formed by the line \[ \frac{x}{a} + \frac{y}{b} = 1 \] with the coordinate axes is: \

A block of mass 2 kg is tied to one end of a 2 m long metal wire of 1.0 mm² area of cross-section and rotated in a vertical circle such that the tension in the wire is zero at the highest point. If the maximum elongation in the wire is 2 mm, the Young's modulus of the metal is:

A force is represented by \( F = ax^2 + b t^{1/2} \) Where \( x = \) distance and \( t = \) time. The dimensions of \( \frac{b^2}{a} \) are:

What are X and Y respectively in the following reaction sequence? 

Match List I with List II

List-I
(Complex)

List-II
(Type of isomerism)

(A)[Co(NH3)5(NO2)]Cl2(I)Solvate isomerism
(B)[Co(NH3)5(SO4)]Br(II)Linkage isomerism
(C)[Co(NH3)6] [Cr(CN)6](III)Ionization isomerism
(D)[Co(H2O)6]Cl3(IV)Coordination isomerism

Choose the correct answer from the options given below:
A particle moving with uniform speed in a circular path maintains :