ECAT Solved Model Past Paper 2022 PDF

PHYSICS

Q. A thermistor with negative temperature co-efficient is placed in a furnace. When temperature of furnace increases the resistance:
Answer: A) Decreases
Q. The following system (Two NOT gates followed by a NAND gate) is equivalent to which gate?
Answer: C) OR
Q. Tuning the tuning knob of radio changes the:
Answer: B) Capacitance
Q. When voltage is passed through a bridge rectifier, the output is:
Answer: A) Full Wave DC voltage
Q. In amplitude modulation, the amplitude of carrier wave changes in proportion to:
Answer: A) The amplitude of the modulating signal
Q. As the water falls from the tap, the cross sectional area should decrease according to:
Answer: C) Equation of continuity
Q. Density of oxygen is 16 times that of hydrogen. If speed of hydrogen is “x” then speed of oxygen is:
Answer: C) Less than x
Q. A police motor cycle running at 140 km/hr. The apparent frequency heard by the car driver (moving in same direction/away) is:
Answer: D) Less than 10 kHz
Q. The relationship between X and Y in the following system (NOT gate):
Answer: C) $y=\overline{x}$
Q. You have 20 inductors each of 15H. You need 1H. You achieve it by:
Answer: B) 15 inductors in parallel
Q. In circuit X (Series) and Y (Parallel), L=100mH and C=10μF. The resonating frequencies are:
Answer: A) $f_x=f_y$
Q. Transformer: Input 100 turns, Output 500. Input 220V, 5A. Output power is:
Answer: B) 1100 watt
Q. When you throw a ball downward, it accelerates immediately after leaving hand at:
Answer: A) 9.8
Q. Difference in force (X and Y) to stop truck (5000kg) vs car (1000kg) at 36km/h in 10s:
Answer: C) 4 Kilo Newton
Q. Longest wavelengths produced on 2m vibrating wire clamped at ends:
Answer: B) 4m, 2m, 1.33m
Q. In optical fiber, the angle of incidence $\theta_i$ should be:
Answer: C) Greater than critical angle
Q. Total flux passing through spheres A and B (concentric with charge Q):
Answer: B) Flux through both sphere is equal
Q. Ratio of rms speeds of two gases at same temperature:
Answer: A) $\sqrt{m_2/m_1}$
Q. Velocity $v=(4−t)^2$. Acceleration after 4 sec is:
Answer: D) 0
Q. Max drag force is 9.8N. At terminal velocity, mass is:
Answer: D) 1 kg
Q. Constant if no torque acts:
Answer: B) Angular momentum
Q. Rocket propulsion is according to:
Answer: C) Momentum
Q. Time period of pendulum at centre of earth (g=0):
Answer: C) Infinite
Q. Wavelength 5000 $\mathring{A}$ is in:
Answer: C) Visible region
Q. Which friction is self-adjusting:
Answer: A) Static
Q. Body absorbs heat at constant temperature during:
Answer: D) Both A and B
Q. Speed of sound in vacuum:
Answer: C) 0 m/sec
Q. Most ideal gas at room temperature:
Answer: D) $H_2$
Q. Spectrum lines in magnetic field:
Answer: B) Zeeman’s effect
Q. Ball pen functions on:
Answer: D) Surface tension

MATHEMATICS

Q. Angles between 0 and 360 for $\sin x=−0.5$:
Answer: A) 210, 330
Q. Simplify $(1+\cos x)/(1+\sec x)$:
Answer: B) $\cos x$
Q. Binomial expansion $1−8x+24x^2…$ is for:
Answer: A) $(1−2x)^4$
Q. Derivative of $(x−1)(x+2)$:
Answer: B) $2x+1$
Q. Solve $2^x−10(2^x)+16=0$:
Answer: C) (1, 3)
Q. Area enclosed by $y=\cos x$ from 0 to $\pi$:
Answer: D) All of these
Q. Complex number $(1+i)$ in polar form:
Answer: C) $\sqrt{2}(\cos45+isin45)$
Q. Matrix A value for $A+A^T$:
Answer: A) 1, 2
Q. Expression $2x^2−mx+2=0$ has real roots if:
Answer: C) $m≥4$
Q. Students class (Desktop 38, Laptop 16, Neither 5, Total 50):
Answer: B) 9
Q. Slope with inclination 120°:
Answer: C) $-\sqrt{3}$
Q. Line segment end points on circle:
Answer: C) Chord
Q. $2x+3<0$ is:
Answer: A) Inequality
Q. Minimum value of $f(x)=x^2−x−2$:
Answer: B) -9/4
Q. Period of $5tan(x/4)$:
Answer: D) $4\pi$
Q. Eccentricity < 1 for:
Answer: B) Ellipse
Q. Resistivity $10^4$ indicates:
Answer: A) Semi-conductor
Q. Lines $y=3x+1$ and $y=x+2$:
Answer: D) Intersect at one point
Q. Intercept and slope of $3x−2y+6=0$:
Answer: B) 3,3/2

CHEMISTRY

Q. Maximum energy absorption in microwave:
Answer: B) $CH_3OH$
Q. Correct regarding Cathode Rays:
Answer: D) All of these
Q. Ionization energy decreases with:
Answer: C) Increase in number of electronic shells
Q. Does not exhibit tetrahedral arrangement:
Answer: D) None of these
Q. $NaOH+HCl→NaCl+H_2O$ change in enthalpy is:
Answer: B) Heat of neutralization
Q. Hydrogen as oxidizing agent (gains electrons):
Answer: C) $2Na+H_2→2NaH$
Q. Atoms of carbon in 18g of Glucose $(C_6H_{12}O_6)$:
Answer: B) $3.6×10^{23}$
Q. Held by Van der Waals forces:
Answer: C) $CO_2$
Q. Will not form hydrogen bond with itself:
Answer: D) $CH_3CHO$
Q. Strongest reducing agent:
Answer: B) K
Q. Ionic hydride:
Answer: A) NaH
Q. Lithium nitrate heated:
Answer: D) $4LiNO_3→2Li_2O+4NO_2+O_2$
Q. Absorbs $CO_2$ and gives $O_2$:
Answer: B) $KO_2$
Q. Color of $[Ti(H_2O)_6]^{3+}$:
Answer: B) Violet
Q. Function of salt bridge:
Answer: A) To prevent accumulation of ions
Q. $6NaOH+3Cl_2→5NaCl+NaClO_3+3H_2O$. Chlorine is:
Answer: B) Both
Q. Tetraethyl lead (TEL) acts as:
Answer: B) Inhibitor
Q. Propagation step in chlorination of methane:
Answer: A) $CH_4+Cl^\bullet→CH_3^\bullet+HCl$
Q. Isomers of $C_2H_4Cl_2$:
Answer: B) 2
Q. $CH_3Br+OH^-→CH_3OH+Br^-$:
Answer: B) Nucleophilic substitution bimolecular ($S_N2$)
Q. Reagent for oxidation of alcohols:
Answer: D) $K_2Cr_2O_7+H_2SO_4$
Q. Oxide unlikely to dissolve in NaOH:
Answer: B) MgO
Q. Dehydrating agent for drying gases:
Answer: C) Sulphuric acid

ENGLISH (Based on Pipeline Passage)

Q. Passage discusses:
Answer: D) Construction
Q. “it” refers to:
Answer: A) Pipeline
Q. Gallons per:
Answer: A) Day
Q. “Resting on”:
Answer: B) Supported by
Q. Except:
Answer: B) Local vegetation
Q. “undertaken”:
Answer: D) Attempted
Q. Companies:
Answer: B) 8
Q. “particular”:
Answer: B) Specific
Q. Cost percentage:
Answer: A) How much oil field land each company owned
Q. Frozen earth:
Answer: A) Permafrost

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