InterviewSolution
Saved Bookmarks
InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
A `20 kg` block B is suspended from a cord attached to a `40 kg` cart A. The ratio of the acceleration of the cart in cases (i) & (ii) shown in figure immediately after the system is released from rest is _________ . (neglect friction) . |
| Answer» Correct Answer - A::B::C::D | |
| 52. |
Two carts of masses `200 kg` and `300 kg` on horizontal rails are pushed apart. Suppose the coefficient of friction between the carts and the rails are same. If the `200 kg` cart travels a distance of `36 m` and stops. Then the distance travelled by the cart weighing `300 kg` is : (if both have same initial speed) .A. 32 mB. 24 mC. 16 mD. 36 m |
| Answer» Correct Answer - D | |
| 53. |
A particle starts from rest with uniform acceleration and is velocity after `n` seconds `v`. The displacement of the body in last two seconds is.A. `(v(n+1))/(n)`B. `(2v(n+1))/(n)`C. `(2v(n-1))/(n)`D. `(v(n-1))/(n)` |
| Answer» Correct Answer - C | |
| 54. |
Blocks `m_(1)` and `m_(2)` starts from rest and move to right with accelerations as shown. If `t` is in second then the time when block `m_(3)` again come to rest from `t =0` is (pulley and strings are ideal) : .A. `(sqrt(5))/(2) sec`B. `(1+ sqrt(5))/(2) sec`C. `(1+ sqrt(3))/(2) sec`D. `1 sec` |
| Answer» Correct Answer - B | |
| 55. |
The acceleration-time graph of a particle moving along a straight line is as shown in. At what time the particle acquires its initial velocity? .A. 12 secB. 5 secC. 8 secD. none of these |
| Answer» Correct Answer - C | |
| 56. |
A solid uniform cylinder of mass `m` performs small oscillations due to the action of two springs of stiffness `k` each (figure). Find the period of these oscillation in the absendce of sliding. `x` |
| Answer» Correct Answer - `T = pi sqrt((3m)/(2k))` | |
| 57. |
A small body A starts sliding from the height h down an inclined groove passing into a half-circle of radius `h//2` (figure). Assuming the friction to be negligible, find the velocity of the body at the highest point of its trajectory (after breaking off the groove). |
| Answer» Correct Answer - B::C | |
| 58. |
When a mass m is connected individually to two spring `S_(1)` and `S_(2)` , the oscillation frequencies are `v_(1) and v_(2)`. If the same mass is attached to the two springs as shwon in figure., the oscillation frequecy would be A. `v_(1) + v_(2)`B. `sqrt(v_(1)^(2)+v_(2)^(2))`C. `((1)/(v_(1))+(1)/(v_(2)))^(-1)`D. `sqrt(v_(1)^(2)- v_(2)^(2))` |
| Answer» Correct Answer - B | |
| 59. |
The force acting on a particle moving along a straight line varies with time as shown in diagram. Which of the following graphs is best representative of its speed and time graphs. Initial velocity the particle is zero.A. B. C. D. |
| Answer» Correct Answer - A | |
| 60. |
A uniform chain of length `2m` is kept on a table such that a length of `60 cm` hangas freely from the adge of the table . The table . The total mass of the chain ia `4 kg` What is the work done in pulling the entire the chain the on the table ?A. `7.2 J`B. `3.6 J`C. 120 JD. 1200 J |
| Answer» Correct Answer - B | |
| 61. |
A particle starts moving from rest along a straight line at `t =0` its acceleration-time graph is shown. Correct relation between magnitudes of displacements between time durations t = 2s to t = 3s and t = 8s to t = 9s represented by `S_(23)` and `S_(89)` respectively A. `S_(23) gt S_(89)`B. `S_(89) gt S_(23)`C. `S_(23) = S_(89)`D. insufficient information to decide |
| Answer» Correct Answer - C | |
| 62. |
Following diagram performs the logic function of-A. AND gateB. NAND gateC. OR gateD. XOR gate |
| Answer» Correct Answer - A | |
| 63. |
The position of a particle at time `t` is given by the relation `x (t) = (v_(0))/(A) (1 - e^(-At))`, where `v_(0)` is constant and `A gt 0`. The dimensions of `v_(0)` and `A` respectivelyA. `M^(0)L^(1)T^(0) & T^(-1)`B. `M^(0)L^(1)T^(-1)&T`C. `M^(0)L^(1)T^(-1)& T^(1)`D. `M^(1)L^(1)T^(-1)&L T^(-2)` |
| Answer» Correct Answer - C | |
| 64. |
A thin uniform rod of length `l` and mass m is freely pivoted about its end. The rod is initially held horizontally and released from rest. When the rod is vertical, an impulse J is applied to bring it to rest (this is in addition to any impulse provided by the pivot) The minimum impulse J required to bring it to rest :A. `m sqrt((gl)/(3))`B. `2m sqrt((3g)/(l))`C. `m sqrt((g)/(3l))`D. `m sqrt((2g)/(3l))` |
| Answer» Correct Answer - A | |
| 65. |
A thin uniform rod of length `l` and mass m is freely pivoted about its end. The rod is initially held horizontally and released from rest. When the rod is vertical, an impulse J is applied to bring it to rest (this is in addition to any impulse provided by the pivot) What is the angular velocity of the rod at the moment it reaches the vertical position ?A. `sqrt((6g)/(l))`B. `2 sqrt((3g)/(l))`C. `sqrt((3g)/(l))`D. None of these |
| Answer» Correct Answer - C | |
| 66. |
For the logic circuit shown the boolean relation is-A. `Y = ABC`B. `Y = A + BC`C. `Y = (A+B)C`D. `Y=AB+C` |
| Answer» Correct Answer - C | |
| 67. |
A long plank of mass M is initially at rest on a frictionless surface. A small block with mass m and initial speed `u_(0)` slides on top of the larger plank. The coefficient of friction between the block and plank is `mu` Net work done by friction if the top block falls off the plank after sliding over its length L isA. `- mumgL`B. `-mu((M+m)/(M))gL`C. `-mu((M)/(M+m))gL`D. `-mu MgL` |
| Answer» Correct Answer - A | |
| 68. |
Which of the following dimensional formula is incorrectA. [permittivity of the free space `xx` electric field] `= M^(0)L^(-2)T^(1) A^(1)`]B. [electrical conductivity] `= M^(-1) L^(-3) T^(3)A^(1)`]C. [viscous force] `= [M^(1)L^(1)T^(-2)]`D. `[("Electric field")/("Magnetic field")]=[M^(0)L^(1)T^(-1)]` |
| Answer» Correct Answer - B | |
| 69. |
A body with mass 5 kg is acted upon by a force `vec(F) = (- 3 hat (i) + 4 hat (j)) N`. If its initial velocity at t =0 is `vec(v) = 6 hat(i) - 12 hat (j) ms^(-1)`, the time at which it will just have a velocity along the y-axis is :A. neverB. 10 sC. 2 sD. 15 s |
| Answer» Correct Answer - B | |
| 70. |
A ray of light incident at an angle `theta` on a refracting face of a prism emerges from the other face normally. If the angle of the prism is `5^@` and the prism is made of a material of refractive index `1.5`, the angle of incidence is.A. 7.5B. `5^(@)`C. `15^(@)`D. `2.5^(@)` |
| Answer» Correct Answer - A | |
| 71. |
A ray `R_(1)` is incident on the plane surface of the glass slab (kept in air) of refractive index `sqrt(2)` at angle of incident equal to the critical angle for this air glass system. The refracted ray `R_(2)` undergoes partial reflection & refraction at the other surface. The angle between the reflected ray `R_(3)` and the refracted ray `R_(4)` at that surface is : A. `45^(@)`B. `135^(@)`C. `105^(@)`D. `75^(@)` |
| Answer» Correct Answer - C | |
| 72. |
Pure Si at 300 K has equal electron `(n_(e))` and hole `(n_(h))` concentrations of `1.5xx10^(16)m^(-3)` doping by indium increases `n_(h)` to `4.5xx10^(22)m^(-3)`. Caculate `n_(e)` in the doped Si-A. `5.0 xx 10^(9) m^(-3)`B. `6.0 xx 10^(6) m^(-3)`C. `7.0 xx 10^(3) m^(-3)`D. `4.0 xx 10^(9) m^(-3)` |
| Answer» Correct Answer - A | |
| 73. |
A high tension wire is at a high potential with respect to a wire which is well grounded called Earth wire. You must have seen such wires stretched parallel to roads. There is a high tension wire between two points A and B. 1 km apart. The distance between HT wire and earth wire is 1 m. The resisatnce of the HT (and also the earth wire) is `1 Omega//m`. This wire is at a potential of 11 KV at point A w.r.t. to earth wire. and its is carrying 1 A current which returns back to the generator by through the earth wire. This wire is quite a thick wire. There is a sign board at a pole over which this wire is stretched reading DANGER, 11 KV. You might thick what would happen if one touched this wire. Will one feel a shock or not. Well ! it depends on whether the current through our body exceeds a particular valuem which we may call CRITICAL CURRENT. Why is H.T wire thick wire. Select the most appropriate optionA. so that more current may flowB. so that resistance may be less thereby reducing power loss in the transmission lineC. so that it may bear high tension & therefore sag lessD. so that when in further population increases, the existing wire may serve the purpose. |
| Answer» Correct Answer - B | |
| 74. |
Photons of equal energy were incident on two different H-like samples, one containing He ions in `n_(1)` state and other containing `Li^(++)` ions in `n_(2)` state. The incident photons ionises both the samples. If the difference in `KE^(8)` of the ejected electrons in is 2.55 eV then magnitude of difference in the states of the two ions may be :A. 8B. 6C. 4D. 2 |
| Answer» Correct Answer - A::D | |
| 75. |
The angles of incidence and refraction of a monochromatic ray of light of wavelength `lamda` at an air-glass interface are i and r, respectively. A parallel beam of light with a small spread `delta lamda` in wavelength about a mean wavelength `lamda` is refracted at the same air-glass interface. The refractive index `mu` of glass depends on the wavelength `lamda` as `mu(lamda) = a + b//lamda2` where a and b are constants. Then the angular spread in the angle of refraction of the beam isA. `|(sin i)/(lamda^(3)cos r)delta lamda|`B. `|(2b)/(lamda^(3))delta lamda|`C. `|(2b tan r)/(a lamda^(3) +b lamda)delta lamda|`D. `|(2b(a+b//lamda^(2))sin i)/(lamda^(3))delta lamda|` |
| Answer» Correct Answer - C | |
| 76. |
Lights of two different frequencies whose photons have energies 1 and 2.5 eV, respectively, successively illuminate a metal whose work function is 0.5 eV. The ratio of the maximum speeds of the emitted electronsA. `1 : 4`B. `1 : 2`C. `1 : 1`D. `1 : 5` |
| Answer» Correct Answer - A | |
| 77. |
A cyclist rides along the circumference of a circular horizontal plane of radius `R`, with the friction coefficient `mu=mu_(0)(1-(r )/(R ))`, where `mu_(0)` is constant and `r` is distance from centre of plane `O`. Find the radius of the circle along which the cyclist can ride with the maximum velocity, what is this valocity? |
| Answer» Correct Answer - `r R//3,v_(max) 1//2 sqrt(mu gR)` | |
| 78. |
A moter car is going due north at a speed of 50 km/h. It makes a `90^0` left turn without changing the speed. The change in the velocity of the car is aboutA. `50 km//h` towards testB. `70 km//h` towards south-westC. `70 km//h` towards north-westD. zero |
| Answer» Correct Answer - B | |
| 79. |
A capacitor of capacitance `C` carrying charge `Q` is connected to a source of emf `E`. Finally, the charge on capacitor would beA. QB. Q + CEC. CED. none |
| Answer» Correct Answer - C | |
| 80. |
Two identical plates with thermal conductivities K and 3K are joined together to form a single plate of double thickness. The equivalent thermal conductivity of one composite plate so formed for the flow of heat through its thickness is.A. KB. 1.5 KC. 2.5 KD. 3 K |
| Answer» Correct Answer - B | |
| 81. |
An ammeter `A` of finite resistance, and a resistor `R` are joined in series to an ideal cell `C`. A potentiometer `P` is joined in parallel to `R`. The ammeter reading is `I_(0)` and the potentiometer reading is `V_(0)`. `P` is now replaced by a voltmeter of finite resistance. The ammeter reading now is `I` and the voltmeter reading is `V`. A. `I gt I_(0),V gt V_(0)`B. `I gt I_(0),V lt V_(0)`C. `I = I_(0),V lt V_(0)`D. `I lt I_(0), V = V_(0)` |
| Answer» Correct Answer - B | |
| 82. |
A system is shown in the figure. Block `A` is moving with `1m//s` towards left. Wedge is moving with `1m//s` towards right. Then speed of the block `B` will be `:` A. 1 m/sB. 2 m/sC. `sqrt(3)m//s`D. none of these |
| Answer» Correct Answer - C | |
| 83. |
Two particles move with constant velocities towards point O along straight lines in a plane as shown. The shortest distance A and B is A. `50 sqrt(3) cm`B. `300 cm`C. `100 sqrt(3) cm`D. `200 cm` |
| Answer» Correct Answer - A | |
| 84. |
A charged particle X moves directly towards another charged particle Y. For the X plus Y system, the total momentum is p and the total energy is E.A. p & E are conserved if both X & Y are free to moveB. (A) is true only if X and Y have similar chargesC. If Y is fixed, E is conserved but not `rho`D. IF Y is fixed, neither E nor p is conserved |
| Answer» Correct Answer - A::C | |
| 85. |
A figure below shows the forces that three charged particles exert on each other. Which of the four situations shown can be correct . A. all of the aboveB. none of the aboveC. II,IIID. II,III & IV |
| Answer» Correct Answer - C | |