Recent questions tagged gateme-2015-set1

Lamenting the gradual sidelining of the arts in school curricula, a group of prominent artists wrote to the chief minister last year, asking him to allocate more funds to...

In the following sentence certain parts are underlined and marked P,Q and R.One of the parts may contain certain error or may not be acceptable in standard written commun...

Choose the appropriate word/phrase, out of the four options given below,to complete the following sentence:Dhoni,as well as the other team members of Indian team,______pr...

if $a^2+b^2+c^2=1$ then $ab+bc+ac$ lies in the interval$[1,2/3]$$[-1/2,1]$$[-1,1/2]$$[2,-4]$

A tiger is $50$ leaps of its own behind a tree.The tiger takes $5$ leaps per minute to the deer's $4$. If the tiger and the deer covers $8$ meter and $5$ meter per leap r...

Given below are two statements followed by two conclusions.Assuming these statements to be true,decide which one logically followsStatements:All film stars are playback s...

Ram and Ramesh appeared in an interview for two vacancies in the same department.The probability of Ram's selection is $1/6$ and of Ramesh is $1/8$.What is the pobabilty ...

An electric bulb has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered.During a single day ...

The velocity field of an incompressible flow is given by $V=(a_1x+a_2y+a_3z)i+(b_1x+b_2y+b_3z)j+(c_1x+c_2y+c_3z)z$, where $a_1$ = $2$ and $c_3$ = − $4$. The value of $b_2...

Steam enters a well insulated turbine and expands isentropically throughout. At an intermediate pressure, $20$ percent of the mass is extracted for process heating and th...

A well insulated rigid container of volume $1 \: m^3$ contains $1.0 \: kg$ of an ideal gas $[C_p = 1000 \: J/(kg\cdot K)$ and $C_v=800 J/(kg \cdot K)]$ at a pressure of ...

Water $(\rho = 1000 \: kg/m^3)$ flows through a venturimeter with inlet diameter $80 \: mm$ and throat diameter $40 \: mm$. The inlet and throat gauge pressures are measu...

Air ($\rho$=$1.2 \: kg/m^3$ and kinematic viscosity, $V$ = $2 \times10^{−5}$ $m^2$/$s$) with a velocity of $2$ $m/s$ flows over the top surface of a flat plate of length ...

Temperature of nitrogen in a vessel of volume $2$ $m^3$ is $288$ $K$. A U-tube manometer connected to the vessel shows a reading of $70$ $cm$ of mercury (level higher in ...

A $10$ $mm$ diameter electrical conductor is covered by an insulation of $2\:mm$ thickness. The conductivity of the insulation is $0.08$ $W/m-K$ and the convection coeffi...

Match the following pairs:\begin{array}{|l|l|l|l|} \hline &\textbf{Equation} && \textbf{Physical Interpretation} \\ \hline P. & \nabla \times \overrightarrow{V}=0 & I. & ...

For flow through a pipe of radius $R$, the velocity and temperature distribution are as follows:$u(r,x)=C_1,$, and $T(r,x)=C_2[1- \left (\dfrac{r}{R} \right )^3]$ where $...

A horizontal plate has been joined to a vertical post using four rivets arranged as shown in the figure. The magnitude of the load on the worst loaded rivet (in $N$) is _...

A ball of mass $0.1 \text{ kg}$, initially at rest, is dropped from height of $1$m. Ball hits the ground and bounces off the ground. Upon impact with the ground, the velo...

A precision instrument package $(m = 1 \: kg)$ needs to be mounted on a surface vibrating at $60 \: Hz$. It is desired that only $5\%$ of the base surface vibration ampli...

A cantilever beam with flexural rigidity of $200$ $N.m^2$ is loaded as shown in the figure. The deflection (in $mm$) at the tip of the beam is _______

A machine element is subjected to the following bi-axial state of stress: $\sigma _x$ = $80$ $MPa$; $\sigma _y$ = 20 MPa; $\tau _{xy}$ = $40$ $MPa$. If the shear strength...

A mobile phone has a small motor with an eccentric mass used for vibrator mode. The location of the eccentric mass on motor with respect to center of gravity (CG) of the ...

A pinion with radius $r_1$, and inertia $I_1$ is driving a gear with radius $r_2$ and inertia $I_2$. Torque $\tau _1$ is applied on pinion. The following are free body di...

For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R are respectively$122.47$ $kN$ and $50$ $kN$$70.71$ $kN$ and $100$ $kN...

Considering massless rigid rod and small oscillations, the natural frequency (in $rad/s$) of vibration of the system shown in the figure is$\sqrt{\dfrac{400}{1}} \\$$\sqr...

In a slab rolling operation, the maximum thickness reduction $(Δℎ_{max}$) is given by $Δ_{max}$ = $\mu^2R$ , where $R$ is the radius of the roll and $\mu$ is the coeffici...

The solidification time of a casting is proportional to $\left( \dfrac{V}{A} \right )^2$, where $V$ is the volume of the casting and $A$ is the total casting surface area...