The output of the given combination gates represents :
The output of the given combination gates represents : a. XOR Gate b. NOR Gate c. NAND Gate d. AND... View Article
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Two ideal polyatomic gases at temperatures T1 and T2 are mixed so that there is no loss of energy. If F1 and F2, m1 and m2, n1 and n2 be the degrees of freedom, masses, the number of molecules of the first and second gas respectively, the temperature of the mixture of these two gases is :
a. \(\begin{array}{l}\frac{n_{1}F_{1}T_{1}+n_{2}F_{2}T_{2}}{n_{1}F_{1}+n_{2}F_{2}}\end{array} \) b. \(\begin{array}{l}\frac{n_{1}F_{1}T_{1}+n_{2}F_{2}T_{2}}{F_{1}+F_{2}}\end{array} \) c. \(\begin{array}{l}\frac{n_{1}F_{1}T_{1}+n_{2}F_{2}T_{2}}{n_{1}+n_{2}}\end{array} \) d. \(\begin{array}{l}\frac{n_{1}T_{1}+n_{2}T_{2}}{n_{1}+n_{2}}\end{array} \) Answer: (a) initial internal energy = final internal... View Article
A mass M hangs on a massless rod
A mass M hangs on a massless rod of length l which rotates at a constant angular frequency. The mass... View Article
A Carnot’s engine working between 400 K and 800 K has a work output of 1200 J per cycle. The amount of heat energy supplied to the engine from the source in each cycle is :
a. 1800 J b. 3200 J c. 2400 J d. 1600 J Answer: (c) η =1–(T2/T1) T1 = source’s temperature... View Article
A car accelerates from rest at a constant rate for some time after which it decelerates at a constant rate to come to rest. If the total time elapsed is t seconds, the total distance travelled is :
a. \(\begin{array}{l}\frac{\alpha \beta }{2(\alpha +\beta )}t^{2}\end{array} \) b. \(\begin{array}{l}\frac{\alpha \beta }{4(\alpha +\beta )}t^{2}\end{array} \) c. \(\begin{array}{l}\frac{4\alpha \beta }{(\alpha +\beta )}t^{2}\end{array}... View Article
An electron of mass m and a photon have the same energy E. The ratio of the wavelength of an electron to that of the photon is : (c being the velocity of light)
a. \(\begin{array}{l}\left ( \frac{E}{2m} \right )^{1/2}\end{array} \) b. \(\begin{array}{l}c(2mE)^{1/2}\end{array} \) c. \(\begin{array}{l}\frac{1}{c}\left ( \frac{E}{2m} \right )^{1/2}\end{array} \) d. \(\begin{array}{l}\frac{1}{c}\left (... View Article
For what value of displacement do the kinetic energy and potential energy of a simple harmonic oscillation become equal?
a. x = A/2 b. x = 0 c. x = ±A d. x = ± A/√2 Answer: (d) KE... View Article
The vernier scale used for measurement has a positive zero error of 0.2 mm. If while taking a measurement it was noted that ‘o’ on the vernier scale lies between 8.5 cm and 8.6 cm, vernier coincidence is 6, then the correct value of the measurement is ……………………. cm. (least count = 0.01 cm)
a. 8.36 cm b. 8.56 c. 8.58 cm d. 8.54 cm Answer: (d) Reading = MSR + VSD × LC... View Article
A body of mass 2 kg moves under a force of [latex](2hat{i}+3hat{j}+5hat{k})N[/latex]. It starts from rest and was at the origin initially. After 4s, its new coordinates are (8, b, 20). The value of b is _______. (Round off to the Nearest Integer)
Answer: (12) \(\begin{array}{l}(2\hat{i}+3\hat{j}+5\hat{k})N\end{array} \) time = 4 sec As the body starts from rest therefore position vector initially; \(\begin{array}{l}\vec{r_{i}}(0\hat{i}+0\hat{j}+0\hat{k})\end{array} \)... View Article
A solid disc of radius ‘a’ and mass ‘m’ rolls down without slipping
A solid disc of radius ‘a’ and mass ‘m’ rolls down without slipping on an inclined plane making an angle... View Article
A swimmer can swim
A swimmer can swim with a velocity of 12 km/h in still water. Water flowing in a river has a... View Article
The energy dissipated by a resistor is 10 ml in 1 s when an electric current of 2mA flows through it. The resistance is ________. (Round off to the Nearest Integer)
Answer: (2500) H = i2Rt 10 × 10-3 = 4 × 10-6 R ∴ 10 × 103 / 4 =... View Article
A force vecf equal 4hati plus 3hatj plus 4hatk is applied on an intersection point of x equal 2 plane and x axis the magnitude of torque of this force about a point 2 3 4 is
Answer: (20) Given: \(\begin{array}{l}\vec{F} = 4\hat{i} + 3\hat{j} + 4\hat{k}\end{array} \), \(\begin{array}{l}\vec{r}_{A} + \vec{r} = \vec{r}_{B}\end{array} \), \(\begin{array}{l}\vec{r} = \vec{r}_{B}-\vec{r}_{A}\end{array}... View Article
For an ideal heat engine, the temperature of the source is 127ºC. In order to have 60% efficiency the temperature of the sink should be ________ºC. (Round off to the Nearest Integer)
Answer: (113) η = (1 – T2 / T1) = 0.6 = 1 – T2 / 400 T2 / 400... View Article
parallel plate capacitor
In a parallel plate capacitor set up, the plate area of the capacitor is 2 m2 and the plates are... View Article
If one wants to remove all the mass of the earth to infinity in order to break it up completely. The amount of energy that needs to be supplied will be x/5 GM2 / R where x is __________. (Round off to the Nearest Integer). (M is the mass of earth, R is the radius of earth, G is the gravitational constant)
Answer: (3) Energy given = Uf – Ui E = Uf – Ui E = \(\begin{array}{l}0 – \left (\frac{3}{5}\frac{GM_{e}^{2}}{R_{e}} \right... View Article
A deviation of 20 degrees is produced in the yellow ray
Answer: (12) θnet = 0 θ1 – θ2 = 0 θ1 = θ2 ω1 δ1 = ω2 δ2 and δnet = δ1 – δ2 = 2o δ1... View Article
A closed organ pipe of length L and an open organ pipe
A closed organ pipe of length L and an open organ pipe contains gases of densities ρ1 and ρ2 respectively.... View Article
Find out the surface charge density at the intersection of point x = 3 m plane and x-axis in the region of uniform line charge of 8 nC/m lying along the z-axis in free space.
a. 47.88 C/m b. 0.07 nC m-2 c. 0.424 nC m-2 d. 4.0 nC m-2 Answer: (c) Electric field due... View Article
In order to determine the Young’s Modulus of a wire
In order to determine the Young’s Modulus of a wire of radius 0.2 cm (measured using a scale of least... View Article
