Competishun Header
Competishun
Contact Us
Back

Report Issue

JEE MAIN 2025
24-01-2025 SHIFT-2
Question
If $7=5+\frac{1}{7}(5+\alpha)+\frac{1}{7^{2}}(5+2 \alpha)+\frac{1}{7^{3}}(5+3 \alpha)+\ldots \ldots \ldots$, then the value of $\alpha$ is :
Select the correct option:
A
$\frac{6}{7}$
B
1
C
$\frac{1}{7}$
D
6
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Main
Mathematics
Easy
Start Preparing for JEE with Competishun
YouTube
Books
App
Tests
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE MAIN_2026
A wedge $Y$ with mass of 10 kg and all frictionless surfaces and the inclined surface making $37^{\circ}$ with horizontal....
JEE MainPhysicsHard
View Solution→
QJEE MAIN_2026
Three masses $m_1=4 \mathrm{~kg}, m_2=4 \mathrm{~kg}$ and $m_3=6 \mathrm{~kg}$ are suspended from a fixed smooth frictionless pulley as shown in...
JEE MainPhysicsMedium
View Solution→
QJEE MAIN_2026
When one moves from a point 16 km below the earth's surface to a point 16 km above the earth's...
JEE MainPhysicsMedium
View Solution→
QJEE MAIN_2026
$\mathrm{L}, \mathrm{C}$ and R represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula $\mathrm{ML}^2 \mathrm{~T}^{-4} \mathrm{~A}^{-2}$ corresponds to...
JEE MainPhysicsHard
View Solution→
QJEE MAIN_2026
In a Vernier calipers, when both jaws touch each other, zero of the Vernier scale is shifted to the right...
JEE MainPhysicsEasy
View Solution→
QJEE MAIN_2026
A body of mass 2 kg begins to move under the influence of time dependent force $...
JEE MainPhysicsMedium
View Solution→
QJEE Mains 20262026
A salt with few drops of conc. HCl gives apple green colour in flame test. The group precipitate of the...
JEE MainChemistryMedium
View Solution→
QJEE Mains 20262026
Consider the three aromatic molecules (P, Q and R) whose structures have been given below :
JEE MainChemistryMedium
View Solution→
QJEE Mains 20262026
Match the following
JEE MainChemistryEasy
View Solution→
QJEE MAIN_2026
The velocity of a particle executing simple harmonic motion along $x$-axis is described as $v^2=50-x^2$, where x represents displacement. If...
JEE MainPhysicsEasy
View Solution→
QJEE MAIN_2026
The surface tension of a soap solution is $3.5 \times 10^{-2} \mathrm{~N} / \mathrm{m}$. The work required to increase the...
JEE MainPhysicsMedium
View Solution→
QJEE MAIN_2026
A 1 kg block subjected to two simultaneous forces $(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+4 \hat{\mathrm{k}}) \mathrm{N}$ and $(3 \hat{i}-\hat{j}-2 \hat{k}) \mathrm{N}$ is...
JEE MainPhysicsEasy
View Solution→
QJEE MAIN_2026
An unpolarized light is incident on the plane interface of air-dielectric medium shown in figure. If the incident angle is...
JEE MainPhysicsHard
View Solution→
QJEE MAIN_2026
The voltage and the current between A and B points shown in the circuit are _____.
JEE MainPhysicsMedium
View Solution→
QJEE Main 20262026
For the given molecule, "x", the preferred site for the attack of the electrophile is :
JEE MainChemistryEasy
View Solution→
QJEE Mains 20262026
In IUPAC nomenclature, the correct order of decreasing priority of functional group is:
JEE MainChemistryEasy
View Solution→
QJEE Main 20262026
Given below are two statements:
Statement (I) : Benzyl chloride reacts faster in $\mathrm{S}_{\mathrm{N}} 1$ mechanism than ethyl chloride.
...
JEE MainPhysicsEasy
View Solution→
QJEE MAIN_2026
Consider a circuit consisting of a capacitor $(20 \mu \mathrm{~F})$, resistor $(100 \Omega)$ and two identical diodes as shown in...
JEE MainPhysicsMedium
View Solution→
Check this project | Best Developer Portfolio