MHTCET Archives - Noon Academy

The phase difference between the current and voltage at resonance is
A 0
B $\pi / 2$
C $\pi_{1}$
D $-\pi$

The correct option is (A) 0 Since reactive impedance at resonance is zero and we know that, $\tan \phi=\frac{X_{L}-X_{C}}{Z}$ but $\mathrm{X}_{\mathrm{L}}-\mathrm{X}_{\mathrm{C}}=0$ therefore...

The scalar product of $5 \hat{i}+\hat{j}-3 \hat{k}$ and $3 \hat{i}-4 \hat{j}+7 \hat{k}$ is (A) 10 (B) $-10$ 6 (C) 15 (D) $-15$

Maths, Previous year question

MHTCET, Physics

3V, 28V 38V, 2V 3V, 30V 3V, 25V Solution: 38V, 2V Case 1: Clockwise Direction Applying Kirchoff's loop rule in the above circuit, we get: $ E-\left( 6\times 2 \right)-20-3\times 2=0 $ $ E=38\,V $...

A positively charged particle (q) travelling at 30° with respect to the direction of magnetic field of strength $2.4\times {{10}^{-6}}T$ experiences a force of $4.8\times {{10}^{-19}}$ N. The speed of charged particle will be

MHTCET, Physics

Solution: Option 2 is correct $ We\,know\,that: $ $ F=Bqvsin\theta $ $ \Rightarrow v=\frac{F}{Bqsin\theta } $ $ Putting\,the\,given\,values,\,we\,get: $ $ v=\frac{4.8\times {{10}^{-19}}}{2.4\times...

In resonance tube, the first and second resonance are heard when water level is 24.1 cm and 74.1 cm respectively, below the open end of the tube. The inner diameter of the tube is

MHTCET, Physics

1. 5 cm 2. 3 cm 3. 4 cm 4. 2 cm Solution: 3 cm We have, end correction in a resonance tube is, e = ( l2 − 3l1 )/2 given l1 = 24.1cm, l2 = 74.1cm and e = 0.3d , (d=diameter of tube )...

The fundamental frequency of a string stretched with a weight ‘M’ kg is ‘n’ , hertz. Keeping the vibrating length constant, the weight required to produce its octave is

MHTCET, Physics

1. M 2. 8 M 3. 2 M 4. 4 M Solution: 4M Octave means that the frequency is in the ratio : n':n = 2:1 We know that the frequency is directly proportional to the tension. It is given as follows: $...

A string of length ‘I’ and linear density ‘m’ has a fundamental frequency ‘n’ when stretched by tension ‘T’. The fundamental frequency of another string having double the length and double linear density, when same tension is applied is

MHTCET, Physics

$ 1.\,\,\frac{n}{2\sqrt{2}} $ $ 2.\,\,2n $ $ 3.\,\,n/2 $ $ 4.\,\,n/\sqrt{2} $ Solution: $ 1.\,\,\frac{n}{2\sqrt{2}} $

$If\,\overrightarrow{A}={{a}_{1}}\widehat{i}+{{a}_{2}}\widehat{j}+{{a}_{3}}\widehat{k},\,then\,\widehat{i}\times \left( \widehat{i}\times \overrightarrow{A} \right)\,is$

MHTCET, Physics

Solution: Option 3 is correct $ We\,have:\,\,\overrightarrow{A}={{a}_{1}}\widehat{i}+{{a}_{2}}\widehat{j}+{{a}_{3}}\widehat{k},\, $ $ \,\widehat{i}\times \left( \widehat{i}\times \overrightarrow{A}...

The Young’s double-slit experiment is performed with the light of blue colour (4350 A) and then with green colour (5450 A). Without changing experimental setup, if the distance of the sixth fringe from the centre is determined for both the colours as Xblue and Xgreen • then Xbiue : X green is nearly

MHTCET, Physics

0.2 1.2 0.8 1.5 Solution: 0.8 $ We\text{ }know\text{ }that~ $ $ Distance\text{ }of\text{ }the~nth~bright\text{ }fringe~is\,given\,by: $ $ {{y}_{n}}=\frac{n\lambda D}{d} $ $ \Rightarrow...

Assuming the earth to be a sphere of uniform density, the ratio of acceleration due to gravity on the earth’s surface to its value at halfway towards the centre of the earth, will be

MHTCET, Physics

2 : 1 2 : 3 1 : 1 1 : 2 Solution: 2 : 1 Let g and g’ be the acceleration due to gravity on the earth's surface and at a depth d from the surface respectively. The, we can write: $ g'=g\left(...

A stone of mass 2kg attached at one end of the of a 2m long string is whirled in horizontal circle. The string makes an angle of 45 degrees with the vertical then the centripetal force acting on the string is

MHTCET, Physics

30 N 40 N 20 N 10 N Solution: 20N $ Given: $ $ m=2kg,\,r=2m,\,\,\theta ={{45}^{\circ }} $ $ Now,~\,Fsin\theta =\frac{m{{v}^{2}}}{r} $ $ and\,v=\sqrt{rg\tan \theta } $ $ v=\sqrt{2\times 9.8\times...

$If\,\left| {{A}_{1}} \right|=3,\,\left| {{A}_{2}} \right|=4\,and\,\left| {{A}_{1}}+{{A}_{2}} \right|=4,\,the\,value\,of\,\left( 2{{A}_{1}}+{{A}_{2}} \right).\left( {{A}_{1}}-{{A}_{2}} \right)\,is$

MHTCET, Physics

4.5 5.5 6.5 2.5 Solution: 6.5 $ \left( 2\overrightarrow{{{A}_{1}}}+\overrightarrow{{{A}_{2}}} \right).\left( \overrightarrow{{{A}_{1}}}-\overrightarrow{{{A}_{2}}} \right) $ $...

For a transistor $\frac{1}{{{\alpha }_{dc}}}-\frac{1}{{{\beta }_{dc}}}$ is ( ${{\alpha }_{dc}}$ and ${{\beta }_{dc}}$ are current gains)

Chemistry, MHTCET

1.5×10-2 kJ 1.5 kJ 150 kJ 1.5×10-3 kJ Solution: 1.5 kJ

One atom of an element ‘X’ weighs $6.0\times {{10}^{-23}}$ g. mass of 1 mole of atoms is

Chemistry, Chemistry, MHTCET

1. nucleophilic addition 2. nucleophilic substitution 3. electrophilic substitution 4. electrophilic addition Solution: electrophilic substitution Bromination is the reaction that is taking place...

For the elementary reaction ${{N}_{2}}\left( g \right)+3{{H}_{2}}\left( g \right)\,\,\to \,\,2N{{H}_{3}}$ . Identify the correct relation from the following relations:

Chemistry, Chemistry, MHTCET

Solution: the correct option is A As the reaction progresses, the reactant concentration decreases and the product concentration rises. As a result, the rate of...

The decreasing order of thermal stability of hydrides of group 15 elements is

Chemistry, Chemistry, MHTCET

Solution: The correct option is 2. Hydride stability reduces as one moves along the group from NH3 to SbH3. This is because their bond dissociation enthalpy has decreased. The...

The magnitude of $\Delta {{T}_{f}}$ is

Chemistry, Chemistry, MHTCET

Solution: Option 1. is the correct answer Consider methyl bromide's alkaline hydrolysis to yield methanol. $ C{{H}_{3}}-Br+NaOH\,\,\xrightarrow{\Delta }\,\,C{{H}_{3}}-OH+NaBr $...

$How\,are\,\left[ Co{{(N{{H}_{3}})}_{5}}S{{O}_{4}} \right]N{{O}_{2}}\,and\,\left[ Co{{(N{{H}_{3}})}_{5}}N{{O}_{2}} \right]S{{O}_{4}}\,related\,to\,each\,other?$

Chemistry, Chemistry, MHTCET

Solid Sol Emulsion Aerosol Solid foam Solution: Solid Foam Pumice stone is an example of solid foam. In this type of colloid, the dispersion medium is solid and the dispersion phase is...